Optimization Books

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We have compiled the list of Best Reference Books on Optimization subject. These books are used by students of top universities, institutes and colleges. Here is the full list of best books on Optimization along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Optimization subject and came out with a recommended list of best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on “Optimization” as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.

List of Optimization Books with author’s names, publishers, and an unbiased review as well as links to the Amazon website to directly purchase these books.

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  • Introduction to Optimization
  • Optimization
  • Principles of Optimization
  • Design Optimization
  • Convex Optimization
  • Numerical Optimization
  • Structural Optimization
  • A First Course in Optimization
  • Linear and Nonlinear Optimization
  • Linear Programming and Optimization
  • Optimisation of System Reliability
  • Simulation and Optimisation
  • Advanced Topics in Discrete Optimization
  • 1. Introduction to Optimization

    1. “Introduction to Optimum Design” by J S Arora

    Book Review: The book covers the basic concepts of optimality conditions and numerical methods that are described with practical examples. This book describes a systematic approach to engineering design optimization in a very simple way. The book demonstrates many concepts and procedures with the help of many examples and illustrates their applications to many engineering design problems. The book also formulates many design problems and also contains applications of many optimization methods for structural, mechanical and industrial engineering problems. The book also contains numerous examples with detailed illustrations. The book also contains a chapter dedicated to advanced optimum design topics. This book is suitable for graduate and undergraduate students studying optimization and engineering design. The book also illustrates the formulation of design problem as an optimization problem.

    2. “Optimization: Theory and Applications” by S S Rao

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    “Optimization: Theory and Applications” Book Review: This book provides a comprehensive and balanced treatment of the various optimization techniques. The development, application, and computational aspects of linear, nonlinear, geometric, dynamic, integer and stochastic programming techniques are described in the book. It also describes some classical optimization techniques. It has chapters that cover solutions of optimization problems using MATLAB, metaheuristic optimization methods, multi-objective optimization methods, and practical implementation of optimization. It offers several illustrative examples, 500 plus references in the literature of engineering optimization, and hundreds of review questions and answers.

    3. “Optimization Methods for Engineering Design” by R L Fox

    “Optimization Methods for Engineering Design” Book Review: The book is mainly designed for students pursuing their graduation in engineering. It comprises chapters like introduction to optimization-based design, engineering models in optimization, models and optimization by trial-and-error, optimization with computer algorithms. It later covers specifying an optimization problem, concepts of design space. It describes how algorithms work, caution regarding optimization, modelling concepts, testing models, reducing noise, formulating intentions, and formulating constraints. The book provides several practical examples and questions with answers for readers to revise understanding.

    4. “Biologically Inspired Optimization Methods: An Introduction” by Mattias Wahde

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    “Biologically Inspired Optimization Methods: An Introduction” Book Review: The book focuses mainly on details about the advent of rapid, reliable, and cheap computing power over the past few decades and how that has transformed many. The multidisciplinary field of optimization is no exception. It describes how researchers have developed a host of new optimization algorithms that operate in a different way than the classical ones. It enables practitioners to attack optimization problems in the areas where the classical methods are either not applicable or very costly to apply. It is intended as a course book for introductory courses in stochastic optimization algorithms.

    5. “An Introduction to Optimization” by Edwin K P Chong

    “An Introduction to Optimization” Book Review: This book provides the reader with their need for accessible treatment of optimization theory and methods with an emphasis on engineering design. It gives basic definitions and notations along with the related fundamental background for linear algebra, geometry, and calculus. It represents an optimization perspective on global search methods and includes discussions on genetic algorithms, particle swarm optimization, and the simulated annealing algorithm. It has chapters on integer programming, linear matrix inequalities, coverage on one-dimensional methods, numerous exercises at the end of the chapters along with MATLAB exercises, and drill exercises to reinforce learnings.

    6. “Introduction to Linear Optimization and Extensions with MATLAB” by Kwon

    “Introduction to Linear Optimization and Extensions with MATLAB” Book Review: It is an introductory book on linear programming which discusses the important ways to mitigate parameter uncertainty. It provides a concrete and intuitive yet rigorous introduction to modern linear optimization. It discusses current linear optimization technologies such as predictor-path following interior point methods for both linear and quadratic optimization along with the inclusion of linear optimization of uncertainty like stochastic programming with recourse and robust optimization. It includes applications and case studies from finance and supply chain management that involve the use of MATLAB. It provides several examples and ends with techniques that are used to model problems with uncertainty.

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    7. “A Brief Introduction to Continuous Evolutionary Optimization” by Kramer

    “A Brief Introduction to Continuous Evolutionary Optimization” Book Review: The book talks about practical optimization problems that are often hard to solve. It particularly focuses on when they are black boxes and no further information about the problem is available except the function evaluations. It introduces evolution strategies and parameter control. It introduces an adaptive penalty function for constrained optimization. It demonstrates that the meta-models reduce the number of fitness and constraint function calls for an expensive optimization problem. It describes a selection operator based on reference lines in objective space to optimize multiple conflicting objectives. Overall, the book explains the principles needed for continuous evolutionary optimization in reader-friendly language.

    8. “Introduction To Nonlinear And Global Optimization” by Hendrix Eligius M T G

    “Introduction To Nonlinear And Global Optimization” Book Review: This book is self-contained and provides a solid introduction to global and nonlinear optimization. It also provides students of mathematics and interdisciplinary sciences with a strong foundation in applied optimization techniques. It offers a unique, hands-on, and critical approach to applied optimization. It includes the presentation of numerous algorithms, examples, and illustrations to develop the required analytical skills. It is also helpful to identify optimization problems, classify the structure of a model, and to determine whether a solution fulfills optimality conditions or not. The book is a must read for students, engineers, and practitioners.

    9. “Introduction to Computational Optimization Models for Production Planning in a Supply Chain” by David L Woodruff

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    “Introduction to Computational Optimization Models for Production Planning in a Supply Chain” Book Review: The book starts with an easy-to-read introduction to the concepts that are associated with the creation of optimization models for production planning. These concepts are later applied to well-known planning models, namely MRP and MRP II. Using this foundational knowledge, sophisticated models for supply chain management are developed. Another unique feature of the book is that the models are developed with an eye towards implementation. It has chapters dedicated to providing explicit examples of implementation of the basic models by means of using a variety of popular and commercially available modeling languages.


    2. Optimization

    1. “Optimization: Theory and Practice” by G S G Beveridge and R S Schechter

    “Optimization: Theory and Practice” Book Review: This book provides a fundamental overview on optimization. It discusses the subject in terms of theory and practice. It contains statements of optimization problems like design vector, constraints, constraint surface, objective function, and objective function surfaces. It talks about classification of optimization problems which are based on the existence of constraints, nature of design variables, physical structure of the problem, nature of equations involved, and much more. It talks about linear pair programming which is covered in depth including simplex method.

    2. “Introduction to Optimization Techniques” by M Aoki

    “Introduction to Optimization Techniques” Book Review: This book provides a comprehensive overview on introduction to optimization techniques. It gives detailed information on mathematical programming. It refers to the basic mathematical problem of maximizing a function subject to constraints. The techniques defined consider the nature of this problem and its various solution concepts. It talks about unconstrained maximization, classical programming problem of maximization, linear and nonlinear programming problem of maximization. It talks about numerous applications of the mathematical programming problem in the book.

    3. “Optimization Techniques” by L R Foulds

    “Optimization Techniques” Book Review: This book provides a fundamental overview on optimization techniques. It talks about the processes by which the optimal solution to a problem or optimum is produced. It talks about a host of contributions all the way from Archimedes to the present day. It describes optimization techniques across many disciplines. It describes interesting concepts from a theoretical point of view and from some practical use. It talks about ways involved in a daunting amount of computational effort for optimization.

    4. “A Gentle Introduction to Optimization” by B Guenin and J Könemann

    “A Gentle Introduction to Optimization” Book Review: This book provides a gentle introduction to optimization. It describes it as an essential technique for solving many problems in areas as diverse as accounting, computer science and engineering. It assumes basic linear algebra and with clear focus on the fundamental concepts. This book is designed to act as a starting point for first year and second year undergraduate students from a wide range of backgrounds and with varying levels of ability. It provides numerous modern, real world examples throughout the text.

    5. “Combinatorial Optimization: Algorithms and Complexity” by Christos H Papadimitriou and Kenneth Steiglitz

    “Combinatorial Optimization: Algorithms and Complexity” Book Review: This book provides a fundamental overview on combinatorial optimization. It is clearly written in a mathematically rigorous manner. It includes novel algorithmic exposition of the simplex method. It discusses the Soviet ellipsoid algorithm for linear programming. It talks about the efficient algorithms for network flow, matching, spanning trees, and matroids. It discusses the theory of NP complete problems, approximation algorithms, local search heuristics for NP complete problems, more. All chapters are supplemented by thought provoking problems. This book is designed to focus on graduate level students with backgrounds in computer science, operations research, and electrical engineering.

    6. “Optimization Models” by Giuseppe C Calafiore and Laurent El Ghaoui

    “Optimization Models” Book Review: This book provides a detailed overview on optimization models. It emphasizes on practical understanding over the technicalities of specific algorithms. It gives an accessible introduction to the field of optimization. It focuses on powerful and reliable convex optimization techniques. It is designed to help students and practitioners to learn how to recognize, simplify, model, and solve optimization problems. It helps the reader apply these principles to their own projects.

    7. “Numerical Optimization” by Jorge Nocedal and Stephen Wright

    “Numerical Optimization” Book Review: This book provides a fundamental overview on numerical optimization. It presents a detailed and up-to-date description of several effective methods in continuous optimization. It shows how optimization has growing interest in engineering, science, and business. It pays special attention to the methods that are best suited to practical problems. It contains chapters on nonlinear interior methods and derivative-free methods for optimization. It shows how both methods are used widely in practice.

    8. “Optimization: Algorithms and Applications” by Rajesh Kumar Arora

    “Optimization: Algorithms and Applications” Book Review: The book provides a comprehensive overview on optimization. It covers algorithms and applications of optimization. It talks about both gradient and stochastic methods as solution techniques in the field of unconstrained and constrained optimization problems. It describes the conjugate gradient method, Broyden–Fletcher–Goldfarb–Shanno algorithm, Powell method, and much more. It discusses penalty function, augmented Lagrange multiplier method, sequential quadratic programming, method of feasible directions, genetic algorithms, and others.

    9. “Optimization” by Kenneth Lange

    “Optimization” Book Review: This book provides a fundamental overview on optimization. This book introduces optimization techniques to balance presentation of mathematical theory and development of numerical algorithms to solve finite-dimensional optimization problems. It talks about finite-dimensional optimization problems which occur throughout the mathematical sciences. It attempts to strike a balance between presentation of mathematical theory and development of numerical algorithms. MM algorithm, block descent and ascent, convex calculus, and the calculus of variations have been treated thoroughly. Advanced topics like the Fenchel conjugate, exact penalty methods,alternating projections, projected gradient methods, subdifferentials, duality, feasibility, and Bregman iteration are also dealt in detail. Graduate students of statistics, biostatistics, applied mathematics, computational biology, computer science, economics, and physics can refer to this book to understand modern data mining techniques in high dimensions. It provides a rigorous exposition without undue abstraction. It talks about statistical applications which will be appealing to graduate students of statistics and biostatistics. It is designed for students and teachers in the field of applied mathematics, computational biology, computer science, economics, and physics.

    10. “State of the Art in Global Optimization” by P M Pardalos Professor Of Chemical Engineering

    “State of the Art in Global Optimization” Book Review: The book talks about global optimization and its applications. It is prescribed for researchers of the field. The book is a collaboration of various research papers presented at the conference on “State of the Art in Global Optimization: Computational Methods and Applications” held at Princeton university, 1995. The papers presented cover problems and challenges faced globally in optimization. It also illustrates the applications of global optimization.


    3. Principles of Optimization

    1. “Linear Programming” by G Hadley

    “Linear Programming” Book Review: The book aims at presenting all the major aspects and essential concepts of linear programming. The chapters of this book are broadly based on the simplex method, computational aspects of the simplex method, duality theory and its ramifications, and network flows. The degeneracy problems and transportation problems are featured along with their suitable resolution techniques. The book also highlights various applications like linear programming to industrial problems and economic theory.

    2. “Non-linear and Dynamic Programming” by G Hadley
    3. “Classical Optimization: Foundations and Extensions” by M Panik
    4. “Optimization Theory and Applications” by S.S. Rao

    “Optimization Theory and Applications” Book Review: The book focuses on presenting various optimization techniques and their applications. The chapters of this book feature development, applications, and computational aspects of linear, nonlinear, geometric, dynamic, integer, and stochastic programming techniques. The classical optimization techniques are also included in this book. It is a well-structured self-contained, and compact piece of writing. The book will be useful for the students, researchers, professionals, and engineers.

    5. “Mathematical Models in Operations Research” by J K Sharma
    6. “Optimization Principles: Practical Applications to the Operation and Markets of the Electric Power Industry” by Narayan S Rau

    “Optimization Principles: Practical Applications to the Operation and Markets of the Electric Power Industry” Book Review: The book is written from both theoretical as well as practical point-of-view and presents various topics and concepts of optimization. The book provides a good understanding of methods that involve linear and nonlinear optimization, including optimal power flow, locational marginal prices for energy, and the auction of hedging instruments. Various applications of optimization to practical problems namely, system dispatch, market design, and material procurement are included in this book. This book will be an excellent resource for students, engineers, and power professionals.

    7. “Multiobjective Optimization: Principles and Case Studies” by Yann Collette and Patrick Siarry

    “Multiobjective Optimization: Principles and Case Studies” Book Review: The book stresses on the basic principles and understanding of many multiobjective optimization methods. The chapters of this book introduce three basic applications for problem solving namely, optimization of the numerical simulation of an industrial process, sizing of a telecommunication network, and decision-aid tools for the sorting of bids. It also addresses the problems operating for research and management. The various concepts of advanced learning are featured in this text. This book is an excellent resource for students and professionals.

    8. “Optimization: Principles and Algorithms” by Michel Bierlaire

    “Optimization: Principles and Algorithms” Book Review: The book is an updated and revised piece of work featuring latest theory and recent developments in optimization. It enables the readers to build up the knowledge set from the very basics. The concepts and methodologies that govern optimization processes are thoroughly explained. The book also features the comparison of applications to methods for discovering the most efficient and appropriate method. The book will be useful for the students, researchers, professionals, and engineers involved in optimization.

    9. “Manufacturing Engineering: Principles For Optimization” by Daniel T Koenig and T Koenig Daniel

    “Manufacturing Engineering: Principles For Optimization” Book Review: The book is a balanced text covering both theoretical and practical aspects of optimization. The chapters of this book features a set of instructions essential in managing different strategies of manufacturing engineering. The book enables its readers to optimize manufacturing processes and procedures. This book will be helpful for the students pursuing their career in manufacturing engineering.

    10. “Importance Measures in Reliability, Risk, and Optimization: Principles and Applications” by Way Kuo and Xiaoyan Zhu

    “Importance Measures in Reliability, Risk, and Optimization: Principles and Applications” Book Review: The book is an updated and revised piece of work presenting latest information and basic concepts of reliability, network, risk, mathematical programming, and optimization. The chapters reflect both numerical and practical applications of featured methodologies in network analysis, multistate systems, and modern systems. Risk analysis in nuclear power plants, cloud computing, software reliability is discussed in detail. The book is supported with comparisons, examples and case studies. This book will be an excellent resource for students, professionals, researchers, and practitioners involved in systems design, reliability, risk and optimization, statistics, maintenance, prognostics and operations.


    4. Design Optimization

    1. “Optimization for Engineering Design: Algorithms and Examples” by Deb K

    “Optimization for Engineering Design: Algorithms and Examples” Book Review: The book contains a number of optimization algorithms which are commonly used in computer-aided engineering design. The book starts with a simple single-variable optimization technique. The book also discusses genetic Algorithms and Simulated Annealing, which are widely used in engineering design problems because of their ability to find global optimum solutions. The book covers topics like topics of optimization such as design and manufacturing, data fitting and regression, inverse problems, scheduling and routing, data mining, intelligent system design. The algorithms are explained in a step-by-step format to facilitate coding in a computer language. It also has worked-out examples which will help for easy understanding. The book is intended for senior undergraduate/postgraduate students of mechanical, production and chemical engineering.

    2. “Essentials of Thermal System Design and Optimization” by C Balaji
    3. “Multi-Objective Optimization using Evolutionary Algorithms” by Kalyanmoy Deb
    4. “Sound Systems: Design and Optimization: Modern Techniques and Tools for Sound System Design and Alignment” by Bob McCarthy

    “Sound Systems: Design and Optimization: Modern Techniques and Tools for Sound System Design and Alignment” Book Review: The book gives an accessible and unique perspective on the behavior of sound systems in the practical world. It reflects the current trends in the audio field and thus providing readers with the newest methodologies and techniques. It gives a clear explanation, a more streamlined organization, increased coverage of current technologies. The book helps in improving design and optimization decisions by understanding how audiences perceive reinforced sound. It defines speaker array configurations and design strategies that maximize the potential for spatial uniformity.

    5. “Thermal Design and Optimization” by Adrian Bejan and George Tsatsaronis

    “Thermal Design and Optimization” Book Review: The book introduces the latest methodologies for the design of thermal systems and emphasizes engineering economics, system simulation, and optimization methods. The book addresses the recommendations of the Accreditation Board for Engineering and Technology for new courses in design engineering. The book covers topics on Introduction to Thermal System Design, Thermodynamics, Modeling, and Design Analysis, Exergy Analysis, Heat Transfer, Modeling, and Design Analysis, Applications with Heat and Fluid Flow, Applications with Thermodynamics and Heat and Fluid Flow, Economic Analysis, Thermoeconomic Analysis and Evaluation, Thermoeconomic Optimization. It is intended for engineering students, practicing engineers and technical managers.

    6. “Gemba Kaizen: A Commonsense Approach to a Continuous Improvement Strategy, Second Edition (Mechanical Engineering)” by Masaaki Imai

    “Gemba Kaizen: A Commonsense Approach to a Continuous Improvement Strategy, Second Edition (Mechanical Engineering)” Book Review: The book tells how to implement cost-effective, incremental improvements in your most critical business processes. It helps to Maximize capacity and reduce inventory at Unga Limited, one of Kenya’s largest flour-milling operations. It helps to improve quality at Inoqe Hospital in Japan. It helps to manage quality improvement by total workforce involvement at Xuji Group Corporation, an electrical manufacturer in China. The book applies the Japanese business philosophy of continuous improvement and process innovation, kaizen, to the critical area of business performance where key transactions take place, the gemba. The book covers topics like Quality, cost, and delivery in the gemba, The five steps of workplace organization, Identifying and eliminating muda–any non-value-adding activity, Visual management, Supervisors’ roles in the lean workplace, Gemba managers’ roles and accountability in sustaining high performance, Just-in-time and total flow management, The CEO’s role in leading a kaizen culture.

    7. “Design Optimization” by Syed Asfandyar and Muhammad Rafique
    8. “Design and Optimization of Thermal Systems” by Jaluria

    “Design and Optimization of Thermal Systems” Book Review: The book gives hands-on guidance that is needed to solve practical and progressively complex design problems. The book gives the basic concepts and procedures for conceptual design, formulation, modeling, simulation, feasible design, and optimization. The book describes traditional as well as emerging techniques. It covers topics on manufacturability, material selection, and sensitivity. It has material on genetic and gradient search methods and highlights significant trends such as knowledge-based design methodology.


    5. Convex Optimization

    1. “Convex Optimization Theory” by Dimitri P Bertsekas

    “Convex Optimization Theory” Book Review: The book covers the basic theory of convex sets and functions in finite dimensions. It offers the analytical/geometrical foundations of convex optimization and duality theory. The book introduces convexity theory to the readers. It also provides analysis of transparent geometrical lines to develop the fundamental duality between descriptions of convex sets and functions in terms of points and in terms of hyperplanes. The book highlights convexity theory and abstract duality which are applied to problems of constrained optimization. Fenchel and conic duality, and game theory are thoroughly explained to develop the sharpest possible duality results within a highly visual geometric framework.

    2. “Convex Optimization” by Stephen Boyd, Lieven Vandenberghe

    “Convex Optimization” Book Review: The book serves as a primary textbook for convex optimization with engineering applications or as an alternate text for a more traditional course on linear or nonlinear optimization. It gives a comprehensive introduction to the tools, techniques and applications of convex optimization. It covers Convex optimization problems that arise frequently in many different fields. It shows in detail how these problems can be solved numerically with great efficiency. The book focuses on recognizing convex optimization problems and then finding the most appropriate technique for solving them. Numerous worked examples and homework exercises are included in the book that will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance, and economics.

    3. “Lagrange-type Functions in Constrained Non-Convex Optimization (Applied Optimization)” by Alexander M Rubinov and Xiao-qi Yang

    “Lagrange-type Functions in Constrained Non-Convex Optimization (Applied Optimization)” Book Review: The book offers a powerful approach, both as a theoretical tool and a computational vehicle, for the study of constrained optimization problems. The book gives a systematic and unified presentation of many important results that have been obtained in this area during the last several years. It develops a unified approach to duality and penalization and to convergence analysis of the first and second order optimality conditions. The book teaches how to generalize classical Lagrange and penalty functions, in order to obtain an appropriate scheme for reducing constrained optimization problems to unconstrained ones that will be suitable for sufficiently broad classes of optimization problems from both the theoretical and computational viewpoints.

    4. “Convex Optimization in Normed Spaces: Theory, Methods and Examples (SpringerBriefs in Optimization)” by Juan Peypouquet

    Convex Optimization in Normed Spaces Theory, Methods and Examples (SpringerBriefs in Optimization)” Book Review: This book is an ideal guide for graduate students and researchers who wish to get acquainted with the main theoretical and practical tools for the numerical minimization of convex functions on Hilbert spaces. The book covers all the concepts about convex optimization. It contains the main tools that are necessary to conduct independent research on the topic. The book may be useful for any researcher working on related fields, as well as teachers giving graduate-level courses on the topic. The book contains chapters such as basic functional analysis along with Convex Analysis and Subdifferential Calculus.

    5. “Introductory Lectures on Convex Optimization: A Basic Course (Applied Optimization)” by Yurii Nesterov
    6. “Selected Applications of Convex Optimization (Springer Optimization and Its Applications)” by Li Li

    “Selected Applications of Convex Optimization (Springer Optimization and Its Applications)” Book Review: The book emphasizes on the applications of convex optimization. It gives a thorough knowledge on support vector machines, parameter estimation, norm approximation and regularization and semi-definite programming problems. It also contains convex relaxation, and geometric problems.The book offers concrete guidance, helping readers recognize and formulate convex optimization problems they might encounter in practice. It also derivations in depth for a better understanding. The book also offers exercises at the end of each chapter.

    7. “Conjugate Duality in Convex Optimization (Lecture Notes in Economics and Mathematical Systems)” by Radu Ioan Bot

    “Conjugate Duality in Convex Optimization (Lecture Notes in Economics and Mathematical Systems)” Book Review: This book presents new achievements and results in the theory of conjugate duality for convex optimization problems. It emphasize its strong connections with different topics in convex analysis, nonlinear analysis, functional analysis and in the theory of monotone operators. It provides the readers with the knowledge of perturbation approach as a fundamental tool for developing the so-called conjugate duality t- ory. The reader also receives deep insights into biconjugate calculus for convex functions and the relations between different existing strong duality notions. The book offers thorough explanation on several unconventional Fenchel duality topics. It also covers the applications of the convex duality theory in the field of monotone operators.

    8. “Convex Optimization Algorithms” by Dmitri P. Bertsekas

    “Convex Optimization Algorithms” Book Review: The book provides an accessible, concise, and intuitive presentation of algorithms for solving convex optimization problems. It aims at an intuitive exposition that makes use of visualization where possible. It gives the readers a knowledge of the theory of descent and approximation methods, including gradient and subgradient projection methods, cutting plane and simplicial decomposition methods, and proximal methods. It also helps them Develops the modern theory of coordinate descent methods, including distributed asynchronous convergence analysis. The book Includes optimal algorithms based on extrapolation techniques and associated rate of convergence analysis. It also contains numerous examples and illustrations as well as exercise questions.

    9. “Lectures On Convex Sets” by Valeriu Soltan

    “Lectures On Convex Sets” Book Review: This book is a useful guide to researchers in convex geometry. It can also be referred to by graduate students and even ambitious undergraduates in mathematics, optimization, and operations research. The book covers the fundamentals of the algebraic and topological properties of convex sets in great depth. It provides a systematic treatment of algebraic and topological properties of convex sets (possibly non closed or unbounded) in the n dimensional Euclidean space. It contains chapters such as general properties of convex sets and convex hulls, cones and conic hulls, polyhedral sets, the extreme structure, support and separation properties of convex sets. The exercises included in the book helps the readers to understand the concept in an easier way.


    6. Numerical Optimization

    1. “Numerical Optimization With Applications” by Jayadeva and Suresh Chandra

    “Numerical Optimization With Applications” Book Review: This book provides a detailed study of a variety of numerical optimization methods. It also discusses their applications in Science, Engineering and Management. This book covers standard optimization methods and their traditional applications. It offers updated topics like Semidefinite Programming, Second Order Cone Programming, Evolutionary Methods and Global optimization. It provides modern and non-conventional applications of numerical optimization. These are provided in the areas of Machine Learning, VLSI Design/ Electrical Circuits and Financial Mathematics.

    2. “Numerical Methods and Optimization” by Hari Arora
    3. “Numerical Methods and Optimization Techniques for UoM (IV-Electrical-2012 course)” by DR J S CHITODE
    4. “Numerical Optimization: Theoretical and Practical Aspects (Universitext)” by Joseph-Frédéric Bonnans and Jean Charles Gilbert

    “Numerical Optimization: Theoretical and Practical Aspects (Universitext)” Book Review: This book provides demonstrations of the ever present character of optimization. It explains numerical algorithms in a tutorial way. This book offers fundamental algorithms. It discusses more specialized and advanced topics for unconstrained and constrained problems. It consists of computational exercises in the form of case studies. This lets us understand optimization methods beyond their theoretical description.

    5. “Large Sparse Numerical Optimization (Lecture Notes in Computer Science)” by T F Coleman
    6. “Numerical Methods for Scientists and Engineers (Dover Books on Mathematics)” by Richard W Hamming

    “Numerical Methods for Scientists and Engineers (Dover Books on Mathematics)” Book Review: This book ensures there is an intimate connection between the source of the problem and the usability of the answers in computing. It avoids isolated formulas and algorithms in favor of a systematic study of alternate ways of doing the problem. This book presents the evasion of roundoff. It helps us in overcoming the problem of truncation error. This book ensures the stability of a feedback system. It provides an emphasis on the frequency approach and its use in the solution of problems.

    7. “Numerical Optimization and Swarm Intelligence for Optimization” by El-Shorbagy Mohammed A and El-Sawy Ahmed A

    “Numerical Optimization and Swarm Intelligence for Optimization” Book Review: In this book swarm intelligence is applied with numerical optimization techniques. These techniques are to solve multiobjective engineering problems. This book presents a hybrid algorithm that combines both of the trust region algorithms. It also provides particle swarm optimization to solve multiobjective optimization problems. This book covers the new algorithm implemented to solve multiobjective engineering component design problems. This new algorithm is also used to solve the environmental economic dispatch problem.

    8. “Complexity In Numerical Optimization” by Panos M Pardalos

    “Complexity In Numerical Optimization” Book Review: This book provides articles on recent complexity developments in numerical optimization. It covers complexity of approximation algorithms, new polynomial time algorithms for convex quadratic minimization. This book includes interior point algorithms, complexity issues regarding test generation of NP-hard problems. It also discusses complexity of scheduling problems, min-max, fractional combinatorial optimization. This study offers fixed point computations and network flow problems. It discusses a broad spectrum of the direction in which research is going.

    9. “Numerical Data Fitting in Dynamical Systems: A Practical Introduction with Applications and Software (Applied Optimization)” by Klaus Schittkowski

    “Numerical Data Fitting in Dynamical Systems: A Practical Introduction with Applications and Software (Applied Optimization)” Book Review: This book provides a real life phenomena in engineering, natural, or medical sciences. This phenomena is presented by using a mathematical model with the goal to analyze numerically the behaviour of the system. This study provides information about the advantages of mathematical models. It serves to verify decisions, to avoid expensive and time consuming experimental tests. This text analyzes, understands, and explains the behaviour of systems, or to optimize design and production. It compares measured data with predicted model function values and to minimize the differences over the whole parameter space.


    7. Structural Optimization

    1. “Foundations of Structural Optimisation – A Unified Approach” by A J Morris

    Book Review: This book demonstrates the mutual couplings that occur between the mathematical models of physical phenomena and also illustrates the parts of a system of an aircraft complicate and thereby explaining the consequences throughout the system. The book also describes the techniques for computing the influences as system design derivatives. These derivatives are useful for both judgemental and formal optimization purposes. The technique also presents the decomposition of design process into smaller tasks and incorporates the design tools.

    2. “Engineering Optimisation Methods and Applications” by G V Reklaitis and K M Ragsdell

    Book Review: This book provides introduction to engineering optimization theory thereby explaining the efficient solutions to problems. The book also provides a practical and real world understanding of engineering optimization thereby focusing on the techniques and strategies related to engineering applications in design, operations and analysis. The book also includes duality theory, interior point methods for solving LP problems, convex functions generalization, engineering optimization and many more. The book also deals with the practical issues of model formulation, implementation, starting point generation and contains case studies and numerous examples from chemical, industrial and mechanical engineering.

    3. “Structural Optimization: Dynamic and Seismic Applications” by Kevin Z Truman

    “Structural Optimization: Dynamic and Seismic Applications” Book Review: The book is an excellent blend of theoretical and practical aspects of structural optimization. It is a well-structured and comprehensive piece of writing covering optimization strategies, design of elements and systems, dynamic loading, and seismic forces in detail. The processes and results of mentioned designs and concepts are clearly highlighted. For better understanding of the readers, the book contains several examples. The book will be useful for the students, researchers, and practicing engineers related to structural optimization design.

    4. “Optimization and Artificial Intelligence in Civil and Structural Engineering” by Topping

    “Optimization and Artificial Intelligence in Civil and Structural Engineering” Book Review: The book will be suitable for the students and professionals of structural analysis and design, water resources engineering, geotechnical engineering, and transportation and environmental engineering. The chapters majorly cover topics like engineering design, optimization, optimal structural design, design of industrial buildings, integrated design, water resources, hazardous material management, and stream quality modeling. The book describes knowledge-based systems, artificial intelligence techniques, and various problems underlying in this field. The recent developments in the field of optimization and artificial intelligence are highlighted in this book.

    5. “Optimization of Structural Systems and Industrial Applications” by Hernandez Brebbia

    “Optimization of Structural Systems and Industrial Applications” Book Review: The content of the book is inspired from the papers presented at the Second International Conference on Computer Aided Optimum Design of Structures, held at Cambridge, USA in June 1991. The topics like mathematical techniques for optimization, optimal design, optimum control, sensitivity analysis, shape optimization, structural optimization, and expert systems are thoroughly explained. The book features applications of structural optimization in various fields. The book also highlights latest developments, research, and available fields for research in optimization.

    6. “Structural Sensitivity Analysis and Optimization” by K K Choi

    “Structural Sensitivity Analysis and Optimization” Book Review: The book presents design sensitivity analysis along with its numerical implementation techniques. It begins with an overview of structural design and its analysis. The remaining sections of the book covers design sensitivity analysis of linear structural systems and design sensitivity analysis of non-linear structural systems. The book also introduces extensive numerical methods for computing design sensitivity for practical application and enhancing the software development. Use of CAD geometric models for design optimization is highlighted. The content of this book is illustrated using many figures and graphs. The book will be suitable for the students of structural engineering and structural mechanics.

    7. “Discrete Structural Optimization” by Gutkowski Bauer

    “Discrete Structural Optimization” Book Review: The book basically discusses and analyses various optimization problems. The topics like Optimization of damping of beams, Optimization of structures formed of polar consecutive parts, neuro-optimizer, topological design of structures, Optimization of linear objective functions, and discrete optimization are thoroughly explained. Many concepts, techniques, and methods namely, genetic algorithms, voting method, and multipoint explicit approximation are discussed. The applications of these techniques and many systems are mentioned in this text. For better understanding of the readers, the book contains many figures, diagrams, and graphs.

    8. “Structural Optimization” by William R Spillers

    “Structural Optimization” Book Review: The book aims to introduce different types of geometry optimization problems namely, sizing, shape and topology optimization faced in mechanical structures. The solutions of the problems are thoroughly explained with the help of formulations and various numerical solution methods. Methods like sensitivity analysis, surface methods, surrogate models, and genetic algorithms are highlighted. The theory and concepts featured in this text are enhanced using several practical examples. The book will be useful for students and professionals of mechanical and structural engineering. It will be equally important for the practicing engineers working with structural optimization software.


    8. A First Course in Optimization

    1. “Nonlinear Programming: Theory and Algorithms” by Mokhtar S Bazara and C M Shetty

    Book Review: This book addresses the optimization problem of an objective function in the presence of equality and inequality constraints. The book also provides a general introduction to nonlinear programming along with demonstrative examples and guidelines for model construction. The book contains chapters on topological properties of convex sets, separation, support of convex sets, polyhedral sets, extreme points, algorithms and their convergence which involves presentation of algorithms for solving unconstrained and constrained nonlinear programming problems.

    2. “Practical Optimization” by Philip Gill and Walter Murray

    Book Review: This book is of great help to the problem solvers who make the best use of optimization software. The problem solvers use existing methods to adapt and modify techniques for various problems. This book contains chapters that are very useful to solve optimization problems. The other topics are used in solving practical optimization problems.

    3. “Nonlinear Programming” by Dimitri Bertsekas

    Book Review: This book focuses on nonlinear and various other types of optimization. It also contains iterative algorithms for constrained and unconstrained optimization, lagrange multipliers, large scale problems and duality, continous and discrete optimization interface. The book also provides extensive coverage of iterative optimization methods, detailed analysis of interior linear programming point methods, in depth duality theory coverage, coverage of newer topics like neural network training, discrete time optimal control and large scale optimization.

    4. “Numerical Linear Algebra and Optimization” by Philip Gill and Walter Murray and Margaret Wright
    5. “First Course in Optimization” by B Charles L. Byrne

    “A First Course in Optimization” Book Review: This book covers the fundamentals of continuous optimization and the mathematical tools required to understand the underlying principles of optimization techniques. Spanning over 15 chapters, the text covers constrained and unconstrained optimization problems as well as issues related to linear and convex programming. It also describes basic iterative solution algorithms like gradient methods, the Newton–Raphson algorithm and its variants, and other general iterative optimization methods. Basics of advanced topics like continuous optimization and sequential unconstrained iterative optimization methods are also mentioned. This book is suitable for advanced undergraduate and graduate courses in science and engineering.

    6. “Post-Optimal Analysis in Linear Semi-Infinite Optimization” by Goberna Lopez

    “Post-Optimal Analysis in Linear Semi-Infinite Optimization” Book Review: This book analyzes crucial areas of linear semi-infinite optimization such as modeling uncertainty, qualitative stability analysis, quantitative stability analysis and sensitivity analysis. A comparison of the post-optimal analysis with alternative approaches to uncertain linear semi-infinite optimization (LSIO) problems is provided. Readers can choose the best way to model such problems depending on the nature and quality of the data as well as the availability of software. This work also contains open problems which readers will find intriguing a challenging. This book is intended for researchers, graduate and post-graduate students of mathematics interested in optimization, parametric optimization and related fields.

    7. “A First Course in Combinatorial Optimization (Cambridge Texts in Applied Mathematics)” by S H Davis and Jon Lee

    “A First Course in Combinatorial Optimization” Book Review: This book offers a comprehensive introduction to combinatorial optimization using matroids from the perspective of a polyhedral. Linear and integer programming, matroids and matroid optimization, shortest paths, polytopes, and network flows are some of the fundamental topics covered. Solved examples and exercises are provided, focusing on the key mathematical ideas that lead to useful models and algorithms. This book is ideal for graduate-level students of operations research, mathematics, and computer science.

    8. “A First Course in Optimization Theory” by Rangarajan K Sundaram Sundaram Rangarajan K

    “A First Course in Optimization Theory” Book Review: This book serves as a comprehensive introduction to optimization theory and its applications in economics and allied disciplines. Divided into three parts, the first part examines the existence and identification of solutions to optimization problems in Rn. The second part analyzes how solutions to optimization problems change with changes in the underlying parameters. The final part describes the fundamentals of finite- and infinite-horizon dynamic programming. Numerous examples and procedures have been provided along with detailed proofs for each result compiled. This book is suitable for first-year master’s and graduate students.

    9. “Noisy Optimization with Evolution Strategies (Genetic Algorithms and Evolutionary Computation)” by Dirk V Arnold

    “Noisy Optimization with Evolution Strategies” Book Review: This book explores evolutionary optimization in the presence of noise by investigating the performance of evolution strategies. The book systematically analyzes the effects of systematic fitness overvaluation, the benefits of distributed populations, and the potential of genetic repair for optimization in the presence of noise. The relative strength of evolution strategies is confirmed on comparing them with other direct search algorithms. The book is suitable for researchers and practitioners of evolutionary algorithms.


    9. Linear and Nonlinear Optimization

    1. “Linear and Nonlinear Programming” by David G Luenberger and Yinyu Ye

    “Linear and Nonlinear Programming” Book Review: It explains the concepts of optimization techniques and properties of algorithms.

    2. “Linear and Nonlinear Optimization” by Igor Griva and Stephen G Nash

    “Linear and Nonlinear Optimization” Book Review: It explains the theory and algorithms of linear and nonlinear optimization and its applications.

    3. “Time-Optimal Trajectory Planning for Redundant Robots: Joint Space Decomposition for Redundancy Resolution in Non-Linear Optimization (BestMasters)” by Alexander Reiter

    “Time-Optimal Trajectory Planning for Redundant Robots: Joint Space Decomposition for Redundancy Resolution in Non-Linear Optimization (BestMasters)” Book Review: It explains the NURBS curves and modeling of kinematics and dynamics of redundant. It contains the applications of robots.

    4. “An Introduction to Nonlinear Optimization Theory” by Marius Durea and Radu Strugariu

    “An Introduction to Nonlinear Optimization Theory” Book Review: It explains the techniques of continuous smooth and nonsmooth optimization.

    5. “Linear and Nonlinear Optimization” by Richard W Cottle and Mukund N Thapa

    “Linear and Nonlinear Optimization” Book Review: This book is for graduates and undergraduate students. It explains the LP models and applications, linear equations and inequalities, simplex algorithms continued. It contains duality, dual simplex algorithms, NLP models and applications, problems with linear and nonlinear constraints etc. End of each chapter has exercises.

    6. “Introduction to Linear Optimization (Athena Scientific Series in Optimization and Neural Computation, 6)” by Dimitris Bertsimas and John N Tsitsiklis

    “Introduction to Linear Optimization(Athena Scientific Series in Optimization and Neural Computation, 6)” Book Review: It contains the advancement of linear optimization such as linear programming. It explains the network flow problems and discrete optimization.

    7. “Non-Linear Parametric Optimization” by KLATTE and GUDDAT
    8. “Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems (Nonlinear Systems and Complexity)” by Luis Vázquez and Salvador Jimenez

    “Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems (Nonlinear Systems and Complexity)” Book Review: It explains the complex linear optimization problems using nonlinear dynamics.

    9. “Nonlinear Optimization Applications Using the GAMS Technology (Springer Optimization and Its Applications)” by Neculai Andrei

    “Nonlinear Optimization Applications Using the GAMS Technology (Springer Optimization and Its Applications)” Book Review: It contains the nonlinear optimization and its applications.

    10. “Introduction to Non-linear Optimization (Computer Science)” by L E Scales
    11. “Nonlinear and Mixed Integer Optimization: Fundamentals and Applications” by Floudas C A

    “Nonlinear and Mixed Integer Optimization: Fundamentals and Applications” Book Review: The book discusses approaches to nonlinear and mixed-integer optimization in the area of process synthesis. Researchers, graduate students with an interest in continuous and discrete nonlinear optimization, process synthesis, applied mathematics. The reader can find basics of convex analysis and nonlinear optimization, mixed-integer linear optimization concepts in the book. Other topics included in the book are process synthesis, and optimization-based approaches in the synthesis of heat recovery systems. Distillation-based systems, and reactor-based systems are also introduced in the book. The book also contains illustrations, geometrical interpretations and problems within each chapter.


    10. Linear Programming and Optimization

    1. “Optimization: Linear Programming” by B K Mishra and B N Mishra

    “Optimization: Linear Programming” Book Review: This book is for graduates and undergraduate students. It explains the concepts such as linear programming, simplex method, convex sets, transportation and assignment problems. It contains theory of games, duality theorem and degeneracy. It has many techniques and applications.

    2. “Linear Programming: Foundations and Extensions” by Robert J Vanderbei

    “Linear Programming: Foundations and Extensions” Book Review: It explains the topics like linear programming, network flows, convex analysis and optimization. It contains integer and quadratic programming.

    3. “Nonlinear Programming: Concepts, Algorithms, and Applications to Chemical Processes (MPS-SIAM Series on Optimization)” by Lorenz T Biegler

    “Nonlinear Programming: Concepts, Algorithms and Applications to Chemical Processes (MPS-SIAM Series on Optimization)” Book Review: It explains the concepts, algorithms and applications of nonlinear programming.

    4. “Applied Optimization with MATLAB Programming” by P Venkataraman

    “Applied Optimization with MATLAB Programming” Book Review: It explains solving the problems of linear and nonlinear optimization techniques using MATLAB.

    5. “Advances in Nonlinear Programming: Proceedings of the 96 International Conference on Nonlinear Programming (Applied Optimization)” by Ya-xiang Yuan

    “Advanced in Nonlinear Programming: Proceedings of the 96 International Conference on Nonlinear Programming (Applied Optimization)” Book Review: It explains the advancement in nonlinear programming.

    6. “Linear-Fractional Programming Theory, Methods, Applications and Software (Applied Optimization)” by E B Bajalinov

    “Linear-Fractional Programming Theory, Methods, Applications and Software (Applied Optimization)” Book Review: It explains linear fractional programming methods and its applications.

    7. “Introduction to Mathematical Optimization: From Linear Programming to Metaheuristics” by Xin-She Yang

    “Introduction to Mathematical Optimization: From Linear Programming to Metaheuristics” Book Review: It explains the problem solving of mathematical optimization. It contains Newton-Raphson method, steepest descent method, Hooke Jeeves pattern search and lagrange multipliers. It has linear programming, particle swarm optimization, simulated annealing and Tabu search.


    11. Optimisation of System Reliability

    1. “Optimisation and Probability in systems Engineering” by J G Rau
    2. “Optimization of Systems Reliability (Industrial Engineering)” by Frank A Tillman
    3. “Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers” by Anatoly Lisnianski and Ilia Frenkel

    “Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers” Book Review: The book provides a comprehensive overview of reliability in multi-state systems while focusing on modern theories and processes. The various theories and topics covered in the book include Multi-State Systems in Nature and in Engineering, Modern Stochastic Process Methods for Multi-state system Reliability and Assessment, Statistical Analysis of Reliability Data for Multi-State Systems, Combined Universal Generating Function and Stochastic Process Method etc. The book puts across different theories and methods with the help of various case studies, mathematical analysis and reference for further reading and study.

    4. “Multi-state System Reliability: Assessment, Optimization and Applications (Series on Quality, Reliability and Engineering Statistics)” by Anatoly Lisnianski and Gregory Levitin

    “Multi-state System Reliability: Assessment, Optimization and Applications (Series on Quality, Reliability and Engineering Statistics)” Book Review: This textbook on multi state system reliability focuses on analysis and optimization of real world systems composed of multi-state components, which have different performance levels and several failure modes with various effects on the entire system performance. It presents a historical overview of the field, presents basic concepts of MSS, MSS reliability measures and tools for MSS reliability assessment and optimization. The book traverses basic methods for MSS reliability assessment such as Boolean methods extension, basic random process methods including both Markov and semi-Markov, universal generating function models etc. The book provides a comprehensive learning experience with a number of techniques along with their applications, numerical examples and MSS theory based on modern advances in the field. The book will benefit graduate students, researchers and industrialists in reliability engineering, optimization, and probability & statistics.

    5. “Biomechanics: Optimization, Uncertainties and Reliability (Reliability of Multiphysical Systems Set)” by Ghias Kharmanda and Abdelkhalak El Hami
    6. “Reliability and Optimization of Structural Systems” by Marc Maes and Luc Huyse

    “Reliability and Optimization of Structural Systems” Book Review: The book aims at promoting modern structural system reliability and optimization theory and its applications. The book presents algorithms for solving three classes of reliability based optimal design problems where the constraint function involves probability terms. The coverage of the book includes topics such as Strategic Principles for Managing Risk, Loads and Extreme Events Models for Highway Bridges, Seismic performance based design and the application to a pile foundation, Uncertainty probability estimates and an entropy based measure of uncertainty etc. The book can be beneficial for researchers and those aiming for higher studies.

    7. “Advances in Reliability and Optimization of Structural Systems” by Dan M Frangopol and John Dalsgaard Sorensen

    “Advances in Reliability and Optimization of Structural Systems” Book Review: The book focuses on structural reliability methods and applications, engineering risk analysis, decision making, new optimization techniques and various applications in civil engineering. The book can be helpful in stimulating further research and development in structural system reliability and optimization theory. The various topics covered in the book includes managing bridge networks using reliability and multiple cost criteria, improved hybrid method for reliability based design optimization, Reliability based topology optimization of frame structures, SORM applied to hierarchical parallel systems, 3D-modelling of corrosion crack opening, Statistical models for resistance of concrete components etc.

    8. “Reliability and Optimization of Structural Systems” by Rudiger Rackwitz and Guiliano Augusti
    9. “Novel Models and Algorithms for Systems Reliability Modeling and Optimization” by Dingzhou Cao

    “Novel Models and Algorithms for Systems Reliability Modeling and Optimization” Book Review: The book develops the concepts surrounding accurate estimation and management of the system reliability of a design for managing product development, manufacturing costs and to control life cycle costs. It focuses on developing an integrated framework for “design for reliability” (DFR) during upfront product development by treating reliability as a design parameter. It provides methods, and tools necessary for accurate assessment of system reliability and availability and optimization of the design to meet system reliability targets. The book discusses various theories and concepts and their limitations such as the Markov chains method, the Dynamic Bayesian Network approach, Continuous Time Bayesian Network framework etc. It also suggests a more effective modeling of sub-system/component interactions, dependencies, and repair policies. The book is loaded with theory, methods, tools and case studies along with simulation tests and data to aid the designer in obtaining optimal design.

    10. “Reliability and Safety of Complex Technical Systems and Processes: Modeling – Identification – Prediction – Optimization” by imusti

    “Reliability and Safety of Complex Technical Systems and Processes: Modeling – Identification – Prediction – Optimization” Book Review: The book discusses the various aspects of reliability and safety of a system, integrating analysis, identification, evaluation, prediction and optimization of complex technical systems operation along with their practical applications to real industrial systems. The various areas traversed by the book includes multistate systems with ageing components, changes to their structure, their components reliability and safety parameters during the operation processes, cost analysis for complex technical systems, variables in different operation states, reliability and safety structures, reliability and safety parameters of components etc. The book will benefit researchers, industry practitioners as well as technicians.


    12. Simulation and Optimisation

    1. “Optimisation: Theory and Applications” by S S Rao

    Book Review: This book helps the readers to master as well as apply the optimization techniques that are used in most of the industries. The book contains both latest as well as classical optimization methods along with advanced principles and applications. The book covers many techniques related to nonlinear, linear, geometric, dynamic, stochastic programming techniques as well as contains chapters on genetic algorithms, annealing, neural networks, colony optimization and many more. The book contains problems and review questions at the end of every chapter. This book is useful for graduate and undergraduate students in the field of civil, mechanical, chemical and aerospace engineering.

    2. “Optimization Method for Engineering Design” by R L Fox

    “Optimization Method for Engineering Design” Book Review: The book covers the mathematical concepts employed in operations research. Senior and lower graduate students can refer to this book. Emphasis is laid on linear programming. Important aspects of operations research are dealt with in detail. The focus of the book is on quantitative methods in management.

    3. “Introduction to Operations Research” by JM Kupfer Schmind and J G Ecker
    4. “Data Analysis, Optimization and Simulation Modeling” by Albright

    “Data Analysis, Optimization and Simulation Modeling” Book Review: Concepts of Microsoft excel are elucidated in this text. It can be accessed by students and data analysts. Different variables and their relations are explained in the book. Concepts of data import and export involving excel are presented. Statistical functions, pivot tables are amongst the concepts of tables in excel discussed. Readers can also find several conceptual questions at the end of each chapter in the text.

    5. “Financial Models Using Simulation and Optimization: A Step-By-Step Guide With Excel and Palisade’s Decisiontools Software” by Wayne L Winston
    6. “Financial Models Using Simulation and Optimization II” by Wayne L Winston

    “Financial Models Using Simulation and Optimization II” Book Review: Application of simulation and optimization techniques in financial aspects is covered. It can be of use to undergraduates, MBAs and financial professionals. RISK, EVOLVER, excel are highlighted as instruments for financial modeling. Topics covered include modeling future stock prices, portfolio optimization, pricing analysis and marketing models, All the concepts are strengthened by various real life examples.

    7. “Simulation and Optimization: Proceedings of the International Workshop on Computationally Intensive Methods in Simulation” by Georg Pflug and Ulrich Dieter

    “Simulation and Optimization: Proceedings of the International Workshop on Computationally Intensive Methods in Simulation” Book Review: The book is a corroboration of various research papers presented at the International Workshop on Computationally Intensive Methods in Simulation and Optimization. It can be referred to by higher level students, researchers as well as scientists. Recent advances in the field of optimization in uncertain environments was discussed. The impact and results of the concepts were extended to be employed in the field of finance. Optimal decision making when only partial information of the future is provided is dealt with.

    8. “Simulation and Optimization (Institute of Mathematics and its Applications Conference Series (New Series))” by Andrzej J Osiadacz

    “Simulation and Optimization (Institute of Mathematics and its Applications Conference Series (New Series))” Book Review: A wide range of theory related to simulation and optimization techniques is covered in this text. Engineers and researchers can find this book to be of interest. This book is a collection of various research papers presented by scientists of the field. Several specialized techniques used in solving particular large systems are highlighted. Applications of the elucidated concepts in the fields of gas networks, power systems, telecommunication networks, chemical plants, the aerospace industry, and meteorology are also discussed.

    9. “Applied Simulation and Optimization: In Logistics, Industrial and Aeronautical Practice” by Miguel Mujica Mota and Idalia Flores De La Mota

    “Applied Simulation and Optimization: In Logistics, Industrial and Aeronautical Practice” Book Review: Applications of simulation and optimization strategies in various fields are covered in this text. It can be accessed by various industrialists, working professionals, students and researchers. Several problems and their minimization employing simulation and optimization in fields such as manufacturing, logistics, and aeronautical are discussed. These problems are tackled with hybrid techniques using simulation-optimization. Topics covered include service industry, production processes and supply chains such as scheduling, routing problems and resource allocations.

    10. “Handbook of Simulation Optimization” by Michael C Fu

    “Handbook of Simulation Optimization” Book Review: A plethora of topics of simulation optimization are covered in this book. It targets students, practitioners and researchers involved in the fields of business or engineering. Both classical and modern approaches for optimizing stochastic simulation models along with the recent technological advances are discussed. Topics covered include: random search methods, response surface methodology, stochastic gradient estimation, stochastic approximation, sample average approximation, stochastic constraints, variance reduction techniques, model-based stochastic search methods and Markov decision processes.


    13. Advanced Topics in Discrete Optimization

    1. “Geometric Algorithms and Combinatorial Optimization” by M. Gr ̈tschel

    Book Review: This book demonstrates the theory of linear and integer programming and also demonstrates the algorithms thereby focusing on the complexity analysis. The book also covers recent developments in the field of linear and integer programming. This book is suitable for graduate students and researchers in the field of operations research, mathematics and computer science. The book contains chapters on linear algebra and its complexity, lattice theory and Diophantine equations and their algorithms, polyhedral structure, polarity, blocking and many more.

    2. “Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games” by Tomas Prieto-Rumeau

    “Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games” Book Review: The book covers continuous-time controlled Markov chains and Markov games. The applications of both control and game models in economics, operations research, engineering, and computer science are mentioned in this book. Many features of the control and game models namely, the continuous time variable, the denumerable state space, the control sets, and Borel spaces are described in this book. Characterizing the optimal reward functions and determining optimal policies for each of the optimality criteria for controlled Markov chains and Markov games are thoroughly explained. Many advanced optimality criteria such as bias, variance, sensitive discount, and Blackwell optimality are covered in this text. The book features various exercises, problems, and their solutions.

    3. “Geometry of Numbers” by C Lekkerkerker and P Gruber

    Book Review: This book includes the geometry of numbers along with the relations to other branches of mathematics like analytic number theory, Diophantine approximation, coding and numerical analysis. The book also deals with the convex and non-convex bodies and lattices that are present in Euclidean space. The book also contains newer chapters on the recent developments made in the field of geometry of numbers. The book also demonstrates the progress made in the areas of geometry of numbers and the expected results.

    4. “Optimization Over Integers” by D Bertsimas and R Weismantel

    Book Review: This book provides a unified treatment in the field of theory of integer optimization. The book is divided into four parts and they are formulations and relaxations, algebra and geometry of integer optimization, integer optimization algorithms and extensions of integer optimizations. The book illustrates the development of integer optimization theory via integral generating sets. The book also focuses on strong formulations, duality and relaxations. The book also discusses applications of lattices and algebraic geometry to integer optimization. The book also covers many enumerative and heuristic methods along with large number of examples and exercises.

    5. “Algebraic and Geometric Ideas in the Theory of Discrete Optimization” by J De Loera and M K ̈ppe

    Book Review: The book covers all the latest advancements in the field of mathematical theory of discrete optimization especially the methods from algebraic geometry, commutative algebra, convex and discrete geometry, generating functions and many other optimization tools. The book also provides many research technologies and offers many techniques for learning these methods and also provides a transition from linear discrete optimization to nonlinear discrete optimization. The book is suitable for advanced graduate students in the field of mathematics, computer science and operations research.

    6. “Discrete Optimization: The State of the Art” by Boros Endre

    “Discrete Optimization: The State of the Art” Book Review: The book is a comprehensive piece of writing featuring theoretical, computational and applied aspects of discrete optimization. It covers the tremendous progress in the preceding field in the last twenty years. The topics like neighborhood search techniques, lift and project for mixed 0-1 programming, pseudo-Boolean optimization, scheduling and assignment problems, production planning, location, bin packing, cutting planes, vehicle routing, applications to graph theory, mechanics, and chip design are discussed in this book. It also features some modern surveys written by the most prominent researchers in the field of discrete optimization.

    7. “Discrete Optimization” by G L Nemhauser

    “Discrete Optimization” Book Review: The book describes the latest methodological operations developments in transportation. The chapters of this book are well structured and cover topics like transport, its relationship with operations and management science, main transportation modes-air travel, automobile, public transit, and maritime transport. The recent research developments and theoretical and algorithmic developments in transportation are highlighted in this book. It contains an article based on the early history of discrete optimization. This book will be useful for the researchers, students, and practitioners related to the field of transportation.

    8. “Progress in Combinatorial Optimization” by A Ridha Mahjoub

    “Progress in Combinatorial Optimization” Book Review: The book is updated and revised text presenting the latest developments and new trends in combinatorial optimization. The applications of combinatorial optimization in fields like communications, network design, VLSI, scheduling, production, and computational biology are highlighted in this book. The latest theory, concepts, results, and advances in areas such as computational complexity, approximation algorithms, cutting-plane based methods, and submodularity function minimization are described in this book. The book introduces more efficient and powerful methods for solving real-world problems.

    9. “Ordinal Optimization” by Jia Zhao Ho

    “Ordinal Optimization” Book Review: The book introduces simulation models and computation-intensive models for addressing the difficulties of the optimization of complex systems. It gives stochastic effects and discrete choices for problem solving. The advantages of the “softer” ordinal approach for search-based type problems are mentioned in this book. The general properties of ordinal approach and orders of magnitude improvement in computational efficiency are included. The book is basically for engineers and designers dealing with complex problems of optimization.

    10. “Combinatorial Optimization : Theory And Algorithms” by Jens Vygen and Bernhard Korte

    “Combinatorial Optimization: Theory And Algorithms” Book Review: The book covers all the important topics related to Combinatorial Optimization. It consists of detailed theory, major techniques, algorithms, concise proofs, and many deep results of the featured topics. A chapter based on facility location problems is added in the book. Latest exercises and some new topics like linear programming, network simplex algorithm, and the max-cut problem are included in this book. The book will be a great reference for the researchers, practitioners, and students interested in combinatorial optimization.

    People who are searching for Free downloads of books and free pdf copies of these books on Optimization – we would like to mention that we don’t have free downloadable pdf copies of these good books and one should look for free pdf copies from these Authors only if they have explicitly made it free to download and read them.

    We have created a collection of best reference books on “Optimization” so that one can readily see the list of top books on “Optimization” and buy the books either online or offline.

    If any more book needs to be added to the list of best books on Optimization subject, please let us know.

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    Manish Bhojasia - Founder & CTO at Sanfoundry
    Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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