Multi Objective Combinatorial Optimization Problems And Solution Methods

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Multi-Objective Combinatorial Optimization Problems and Solution Methods

Mehdi Toloo,Siamak Talatahari,Iman Rahimi
Multi Objective Combinatorial Optimization Problems and Solution Methods Book PDF

Author : Mehdi Toloo,Siamak Talatahari,Iman Rahimi
Publisher : Academic Press
Page : 316 pages
File Size : 40,9 Mb
Release : 2022-02-09
Category : Science
ISBN : 9780128238004

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Multi-Objective Combinatorial Optimization Problems and Solution Methods by Mehdi Toloo,Siamak Talatahari,Iman Rahimi Pdf

Multi-Objective Combinatorial Optimization Problems and Solution Methods discusses the results of a recent multi-objective combinatorial optimization achievement that considered metaheuristic, mathematical programming, heuristic, hyper heuristic and hybrid approaches. In other words, the book presents various multi-objective combinatorial optimization issues that may benefit from different methods in theory and practice. Combinatorial optimization problems appear in a wide range of applications in operations research, engineering, biological sciences and computer science, hence many optimization approaches have been developed that link the discrete universe to the continuous universe through geometric, analytic and algebraic techniques. This book covers this important topic as computational optimization has become increasingly popular as design optimization and its applications in engineering and industry have become ever more important due to more stringent design requirements in modern engineering practice. Presents a collection of the most up-to-date research, providing a complete overview of multi-objective combinatorial optimization problems and applications Introduces new approaches to handle different engineering and science problems, providing the field with a collection of related research not already covered in the primary literature Demonstrates the efficiency and power of the various algorithms, problems and solutions, including numerous examples that illustrate concepts and algorithms

Dynamic Programming Multi-Objective Combinatorial Optimization

Michal Mankowski,Mikhail Moshkov
Dynamic Programming Multi Objective Combinatorial Optimization Book PDF

Author : Michal Mankowski,Mikhail Moshkov
Publisher : Springer Nature
Page : 213 pages
File Size : 49,5 Mb
Release : 2021-02-08
Category : Technology & Engineering
ISBN : 9783030639204

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Dynamic Programming Multi-Objective Combinatorial Optimization by Michal Mankowski,Mikhail Moshkov Pdf

This book introduces a fairly universal approach to the design and analysis of exact optimization algorithms for multi-objective combinatorial optimization problems. It proposes the circuits without repetitions representing the sets of feasible solutions along with the increasing and strictly increasing cost functions as a model for such problems. The book designs the algorithms for multi-stage and bi-criteria optimization and for counting the solutions in the framework of this model. As applications, this book studies eleven known combinatorial optimization problems: matrix chain multiplication, global sequence alignment, optimal paths in directed graphs, binary search trees, convex polygon triangulation, line breaking (text justification), one-dimensional clustering, optimal bitonic tour, segmented least squares, optimization of matchings in trees, and 0/1 knapsack problem. The results presented are useful for researchers in combinatorial optimization. This book is also useful as the basis for graduate courses.

Multi-Objective Optimization in Theory and Practice I: Classical Methods

Andre A. Keller
Multi Objective Optimization in Theory and Practice I Classical Methods Book PDF

Author : Andre A. Keller
Publisher : Bentham Science Publishers
Page : 296 pages
File Size : 47,5 Mb
Release : 2017-12-13
Category : Technology & Engineering
ISBN : 9781681085685

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Multi-Objective Optimization in Theory and Practice I: Classical Methods by Andre A. Keller Pdf

Multi-Objective Optimization in Theory and Practice is a traditional two-part approach to solving multi-objective optimization (MOO) problems namely the use of classical methods and evolutionary algorithms. This first book is devoted to classical methods including the extended simplex method by Zeleny and preference-based techniques. This part covers three main topics through nine chapters. The first topic focuses on the design of such MOO problems, their complexities including nonlinearities and uncertainties, and optimality theory. The second topic introduces the founding solving methods including the extended simplex method to linear MOO problems and weighting objective methods. The third topic deals with particular structures of MOO problems, such as mixed-integer programming, hierarchical programming, fuzzy logic programming, and bimatrix games. Multi-Objective Optimization in Theory and Practice is a user-friendly book with detailed, illustrated calculations, examples, test functions, and small-size applications in Mathematica® (among other mathematical packages) and from scholarly literature. It is an essential handbook for students and teachers involved in advanced optimization courses in engineering, information science, and mathematics degree programs.

Non-Convex Multi-Objective Optimization

Panos M. Pardalos,Antanas Žilinskas,Julius Žilinskas
Non Convex Multi Objective Optimization Book PDF

Author : Panos M. Pardalos,Antanas Žilinskas,Julius Žilinskas
Publisher : Springer
Page : 196 pages
File Size : 44,9 Mb
Release : 2017-07-27
Category : Mathematics
ISBN : 9783319610078

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Non-Convex Multi-Objective Optimization by Panos M. Pardalos,Antanas Žilinskas,Julius Žilinskas Pdf

Recent results on non-convex multi-objective optimization problems and methods are presented in this book, with particular attention to expensive black-box objective functions. Multi-objective optimization methods facilitate designers, engineers, and researchers to make decisions on appropriate trade-offs between various conflicting goals. A variety of deterministic and stochastic multi-objective optimization methods are developed in this book. Beginning with basic concepts and a review of non-convex single-objective optimization problems; this book moves on to cover multi-objective branch and bound algorithms, worst-case optimal algorithms (for Lipschitz functions and bi-objective problems), statistical models based algorithms, and probabilistic branch and bound approach. Detailed descriptions of new algorithms for non-convex multi-objective optimization, their theoretical substantiation, and examples for practical applications to the cell formation problem in manufacturing engineering, the process design in chemical engineering, and business process management are included to aide researchers and graduate students in mathematics, computer science, engineering, economics, and business management.

Multi-Objective Optimization in Theory and Practice II: Metaheuristic Algorithms

André A. Keller
Multi Objective Optimization in Theory and Practice II Metaheuristic Algorithms Book PDF

Author : André A. Keller
Publisher : Bentham Science Publishers
Page : 310 pages
File Size : 48,5 Mb
Release : 2019-03-28
Category : Mathematics
ISBN : 9781681087061

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Multi-Objective Optimization in Theory and Practice II: Metaheuristic Algorithms by André A. Keller Pdf

Multi-Objective Optimization in Theory and Practice is a simplified two-part approach to multi-objective optimization (MOO) problems. This second part focuses on the use of metaheuristic algorithms in more challenging practical cases. The book includes ten chapters that cover several advanced MOO techniques. These include the determination of Pareto-optimal sets of solutions, metaheuristic algorithms, genetic search algorithms and evolution strategies, decomposition algorithms, hybridization of different metaheuristics, and many-objective (more than three objectives) optimization and parallel computation. The final section of the book presents information about the design and types of fifty test problems for which the Pareto-optimal front is approximated. For each of them, the package NSGA-II is used to approximate the Pareto-optimal front. It is an essential handbook for students and teachers involved in advanced optimization courses in engineering, information science and mathematics degree programs.

Multiobjective Optimization

Yann Collette,Patrick Siarry
Multiobjective Optimization Book PDF

Author : Yann Collette,Patrick Siarry
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 45,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662088838

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Multiobjective Optimization by Yann Collette,Patrick Siarry Pdf

This text offers many multiobjective optimization methods accompanied by analytical examples, and it treats problems not only in engineering but also operations research and management. It explains how to choose the best method to solve a problem and uses three primary application examples: optimization of the numerical simulation of an industrial process; sizing of a telecommunication network; and decision-aid tools for the sorting of bids.

Recent Advances and Historical Development of Vector Optimization

Johannes Jahn,Werner Krabs
Recent Advances and Historical Development of Vector Optimization Book PDF

Author : Johannes Jahn,Werner Krabs
Publisher : Springer Science & Business Media
Page : 409 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642466182

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Recent Advances and Historical Development of Vector Optimization by Johannes Jahn,Werner Krabs Pdf

In vector optimization one investigates optimization problems in an abstract setting which have a not necessarily real-valued objective function. This scientific discipline is closely related to multi-objective optimization and multi-criteria decision making. This book contains refereed contributions to the "International Conference on Vector Optimization" held at the Technical University of Darmstadt from August 4-7, 1986. This meeting was an interdisciplinary forum devoted to new results in the theory, to applications as well as to the solution of vector optimization problems which are relevant in practice. Because of the great variety of topics covered by the contributions, the 25 articles of this volume are organized in different sections: Historical retrospect, mathematical theory, goal setting and decision making, engineering applications, and related topics. The papers of the invited State-of-the-Art Tutorials given by Professors J.M. Borwein, H. Eschenauer, W. Stadler and P.L. Yu are also included.

Evolutionary Algorithms for Solving Multi-Objective Problems

Carlos Coello Coello,Gary B. Lamont,David A. van Veldhuizen
Evolutionary Algorithms for Solving Multi Objective Problems Book PDF

Author : Carlos Coello Coello,Gary B. Lamont,David A. van Veldhuizen
Publisher : Springer Science & Business Media
Page : 810 pages
File Size : 49,5 Mb
Release : 2007-08-26
Category : Computers
ISBN : 9780387367972

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Evolutionary Algorithms for Solving Multi-Objective Problems by Carlos Coello Coello,Gary B. Lamont,David A. van Veldhuizen Pdf

This textbook is a second edition of Evolutionary Algorithms for Solving Multi-Objective Problems, significantly expanded and adapted for the classroom. The various features of multi-objective evolutionary algorithms are presented here in an innovative and student-friendly fashion, incorporating state-of-the-art research. The book disseminates the application of evolutionary algorithm techniques to a variety of practical problems. It contains exhaustive appendices, index and bibliography and links to a complete set of teaching tutorials, exercises and solutions.

Multi-Objective Optimization Problems

Fran Sérgio Lobato,Valder Steffen Jr.
Multi Objective Optimization Problems Book PDF

Author : Fran Sérgio Lobato,Valder Steffen Jr.
Publisher : Springer
Page : 160 pages
File Size : 46,5 Mb
Release : 2017-07-03
Category : Mathematics
ISBN : 9783319585659

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Multi-Objective Optimization Problems by Fran Sérgio Lobato,Valder Steffen Jr. Pdf

This book is aimed at undergraduate and graduate students in applied mathematics or computer science, as a tool for solving real-world design problems. The present work covers fundamentals in multi-objective optimization and applications in mathematical and engineering system design using a new optimization strategy, namely the Self-Adaptive Multi-objective Optimization Differential Evolution (SA-MODE) algorithm. This strategy is proposed in order to reduce the number of evaluations of the objective function through dynamic update of canonical Differential Evolution parameters (population size, crossover probability and perturbation rate). The methodology is applied to solve mathematical functions considering test cases from the literature and various engineering systems design, such as cantilevered beam design, biochemical reactor, crystallization process, machine tool spindle design, rotary dryer design, among others.

Combinatorial Optimization Under Uncertainty

Ritu Arora,Shalini Arora,Anand J Kulkarni,Patrick Siarry
Combinatorial Optimization Under Uncertainty Book PDF

Author : Ritu Arora,Shalini Arora,Anand J Kulkarni,Patrick Siarry
Publisher : CRC Press
Page : 184 pages
File Size : 48,5 Mb
Release : 2023-05-12
Category : Business & Economics
ISBN : 9781000859850

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Combinatorial Optimization Under Uncertainty by Ritu Arora,Shalini Arora,Anand J Kulkarni,Patrick Siarry Pdf

This book discusses the basic ideas, underlying principles, mathematical formulations, analysis and applications of the different combinatorial problems under uncertainty and attempts to provide solutions for the same. Uncertainty influences the behaviour of the market to a great extent. Global pandemics and calamities are other factors which affect and augment unpredictability in the market. The intent of this book is to develop mathematical structures for different aspects of allocation problems depicting real life scenarios. The novel methods which are incorporated in practical scenarios under uncertain circumstances include the STAR heuristic approach, Matrix geometric method, Ranking function and Pythagorean fuzzy numbers, to name a few. Distinct problems which are considered in this book under uncertainty include scheduling, cyclic bottleneck assignment problem, bilevel transportation problem, multi-index transportation problem, retrial queuing, uncertain matrix games, optimal production evaluation of cotton in different soil and water conditions, the healthcare sector, intuitionistic fuzzy quadratic programming problem, and multi-objective optimization problem. This book may serve as a valuable reference for researchers working in the domain of optimization for solving combinatorial problems under uncertainty. The contributions of this book may further help to explore new avenues leading toward multidisciplinary research discussions.

Multicriteria Optimization

Matthias Ehrgott
Multicriteria Optimization Book PDF

Author : Matthias Ehrgott
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 46,5 Mb
Release : 2006-01-16
Category : Business & Economics
ISBN : 9783540276593

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Multicriteria Optimization by Matthias Ehrgott Pdf

- Collection of results of multicriteria optimization, including nonlinear, linear and combinatorial optimization problems - Includes numerous illustrations, examples and problems

Metaheuristics for Multiobjective Optimisation

Xavier Gandibleux,Marc Sevaux,Kenneth Sörensen,Vincent T'Kindt
Metaheuristics for Multiobjective Optimisation Book PDF

Author : Xavier Gandibleux,Marc Sevaux,Kenneth Sörensen,Vincent T'Kindt
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 49,9 Mb
Release : 2012-08-27
Category : Mathematics
ISBN : 9783642171444

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Metaheuristics for Multiobjective Optimisation by Xavier Gandibleux,Marc Sevaux,Kenneth Sörensen,Vincent T'Kindt Pdf

The success of metaheuristics on hard single-objective optimization problems is well recognized today. However, many real-life problems require taking into account several conflicting points of view corresponding to multiple objectives. The use of metaheuristic optimization techniques for multi-objective problems is the subject of this volume. The book includes selected surveys, tutorials and state-of-the-art research papers in this field, which were first presented at a free workshop jointly organized by the French working group on Multi-objective Mathematical Programming (PM2O) and the EURO working group on Metaheuristics in December 2002. It is the first book which considers both various metaheuristics and various kind of problems (e.g. combinatorial problems, real situations, non-linear problems) applied to multiple objective optimization. Metaheuristics used include: genetic algorithms, ant colony optimization, simulated annealing, scatter search, etc. Problems concern timetabling, vehicle routing, and more. Methodological aspects, such as quality evaluation, are also covered.

Handbook of combinatorial optimization. 1

Dingzhu Du,Panos M. Pardalos
Handbook of combinatorial optimization 1 Book PDF

Author : Dingzhu Du,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 808 pages
File Size : 42,7 Mb
Release : 1998
Category : Mathematics
ISBN : 0792350189

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Handbook of combinatorial optimization. 1 by Dingzhu Du,Panos M. Pardalos Pdf

The first of a multi-volume set, which deals with several algorithmic approaches for discrete problems as well as many combinatorial problems. It is addressed to researchers in discrete optimization, and to all scientists who use combinatorial optimization methods to model and solve problems.

Advances in Multi-Objective Nature Inspired Computing

Carlos Coello Coello,Clarisse Dhaenens,Laetitia Jourdan
Advances in Multi Objective Nature Inspired Computing Book PDF

Author : Carlos Coello Coello,Clarisse Dhaenens,Laetitia Jourdan
Publisher : Unknown
Page : 128 pages
File Size : 49,6 Mb
Release : 2010
Category : Electronic
ISBN : 3642112331

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Advances in Multi-Objective Nature Inspired Computing by Carlos Coello Coello,Clarisse Dhaenens,Laetitia Jourdan Pdf

The purpose of this book is to collect contributions that deal with the use of nature inspired metaheuristics for solving multi-objective combinatorial optimization problems. Such a collection intends to provide an overview of the state-of-the-art developments in this field, with the aim of motivating more researchers in operations research, engineering, and computer science, to do research in this area. As such, this book is expected to become a valuable reference for those wishing to do research on the use of nature inspired metaheuristics for solving multi-objective combinatorial optimization problems.

Advances in Multi-Objective Nature Inspired Computing

Carlos Coello Coello,Clarisse Dhaenens,Laetitia Jourdan
Advances in Multi Objective Nature Inspired Computing Book PDF

Author : Carlos Coello Coello,Clarisse Dhaenens,Laetitia Jourdan
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 42,6 Mb
Release : 2010-02-04
Category : Mathematics
ISBN : 9783642112171

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Advances in Multi-Objective Nature Inspired Computing by Carlos Coello Coello,Clarisse Dhaenens,Laetitia Jourdan Pdf

The purpose of this book is to collect contributions that deal with the use of nature inspired metaheuristics for solving multi-objective combinatorial optimization problems. Such a collection intends to provide an overview of the state-of-the-art developments in this field, with the aim of motivating more researchers in operations research, engineering, and computer science, to do research in this area. As such, this book is expected to become a valuable reference for those wishing to do research on the use of nature inspired metaheuristics for solving multi-objective combinatorial optimization problems.