Multiobjective Linear And Integer Programming

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Multiobjective Linear and Integer Programming

Author : Carlos Henggeler Antunes,Maria Joao Alves,Joao Climaco
Publisher : Springer
Page : 209 pages
File Size : 44,9 Mb
Release : 2016-04-08
Category : Business & Economics
ISBN : 9783319287461

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Multiobjective Linear and Integer Programming by Carlos Henggeler Antunes,Maria Joao Alves,Joao Climaco Pdf

This book opens the door to multiobjective optimization for students in fields such as engineering, management, economics and applied mathematics. It offers a comprehensive introduction to multiobjective optimization, with a primary emphasis on multiobjective linear programming and multiobjective integer/mixed integer programming. A didactic book, it is mainly intended for undergraduate and graduate students, but can also be useful for researchers and practitioners. Further, it is accompanied by an interactive software package - developed by the authors for Windows platforms - which can be used for teaching and decision-making support purposes in multiobjective linear programming problems. Thus, besides the textbook’s coverage of the essential concepts, theory and methods, complemented with illustrative examples and exercises, the computational tool enables students to experiment and enhance their technical skills, as well as to capture the essential characteristics of real-world problems.

Linear Multiobjective Programming

Author : M. Zeleny
Publisher : Springer Science & Business Media
Page : 233 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642808081

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Linear Multiobjective Programming by M. Zeleny Pdf

1.1. The origin of the multiobjective problem and a short historical review The continuing search for a discovery of theories, tools and c- cepts applicable to decision-making processes has increased the complexity of problems eligible for analytical treatment. One of the more pertinent criticisms of current decision-making theory and practice is directed against the traditional approximation of multiple goal behavior of men and organizations by single, technically-convenient criterion. Reins- tementof the role of human judgment in more realistic, multiple goal se,ttings has been one of the ma~or recent developments in the literature. Consider the following simplified problem. There is a large number of people to be transported daily between two industrial areas and their adjacent residential areas. Given some budgetary and technological c- straints we would like to determine optimal transportation modes as well as the number of units of each to be scheduled for service. What is the optimal solution? Are we interested in the cheapest transportation? Do we want the fastest, the safest, the cleanest, the most profitable, the most durable? There are many criteria which are to be considered: travel times, consumer's cost, construction cost, operating cost, expected fatalities and injuries, probability of delays, etc.

Linear and Integer Programming

Author : Gerard Sierksma
Publisher : CRC Press
Page : 664 pages
File Size : 51,5 Mb
Release : 2001-11-01
Category : Mathematics
ISBN : 0824706730

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Linear and Integer Programming by Gerard Sierksma Pdf

"Combines the theoretical and practical aspects of linear and integer programming. Provides practical case studies and techniques, including rounding-off, column-generation, game theory, multiobjective optimization, and goal programming, as well as real-world solutions to the transportation and transshipment problem, project scheduling, and decentralization."

Linear Integer Programming

Author : Elias Munapo,Santosh Kumar
Publisher : Walter de Gruyter GmbH & Co KG
Page : 204 pages
File Size : 55,6 Mb
Release : 2021-12-06
Category : Computers
ISBN : 9783110703115

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Linear Integer Programming by Elias Munapo,Santosh Kumar Pdf

This book presents the state-of-the-art methods in Linear Integer Programming, including some new algorithms and heuristic methods developed by the authors in recent years. Topics as Characteristic equation (CE), application of CE to bi-objective and multi-objective problems, Binary integer problems, Mixed-integer models, Knapsack models, Complexity reduction, Feasible-space reduction, Random search, Connected graph are also treated.

Multiobjective Linear Programming

Author : Dinh The Luc
Publisher : Springer
Page : 325 pages
File Size : 45,7 Mb
Release : 2015-07-31
Category : Business & Economics
ISBN : 9783319210919

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Multiobjective Linear Programming by Dinh The Luc Pdf

This book introduces the reader to the field of multiobjective optimization through problems with simple structures, namely those in which the objective function and constraints are linear. Fundamental notions as well as state-of-the-art advances are presented in a comprehensive way and illustrated with the help of numerous examples. Three of the most popular methods for solving multiobjective linear problems are explained, and exercises are provided at the end of each chapter, helping students to grasp and apply key concepts and methods to more complex problems. The book was motivated by the fact that the majority of the practical problems we encounter in management science, engineering or operations research involve conflicting criteria and therefore it is more convenient to formulate them as multicriteria optimization models, the solution concepts and methods of which cannot be treated using traditional mathematical programming approaches.

Modelling, Computation and Optimization in Information Systems and Management Sciences

Author : Le Thi Hoai An,Pascal Bouvry,Pham Dinh Tao
Publisher : Springer Science & Business Media
Page : 632 pages
File Size : 51,5 Mb
Release : 2008-10-25
Category : Computers
ISBN : 9783540874775

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Modelling, Computation and Optimization in Information Systems and Management Sciences by Le Thi Hoai An,Pascal Bouvry,Pham Dinh Tao Pdf

Constitutes the refereed proceedings of the Second International Conference MCO 2008, Metz, France, September 2008. This title organizes the papers in topical sections on optimization and decision making; data mining theory, systems and applications; computer vision and image processing; and computer communications and networks.

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

Author : Andre A. Keller
Publisher : Bentham Science Publishers
Page : 296 pages
File Size : 49,6 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.

Theory of Linear and Integer Programming

Author : Alexander Schrijver
Publisher : John Wiley & Sons
Page : 488 pages
File Size : 48,7 Mb
Release : 1998-06-11
Category : Mathematics
ISBN : 0471982326

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Theory of Linear and Integer Programming by Alexander Schrijver Pdf

Als Ergänzung zu den mehr praxisorientierten Büchern, die auf dem Gebiet der linearen und Integerprogrammierung bereits erschienen sind, beschreibt dieses Werk die zugrunde liegende Theorie und gibt einen Überblick über wichtige Algorithmen. Der Autor diskutiert auch Anwendungen auf die kombinatorische Optimierung; neben einer ausführlichen Bibliographie finden sich umfangreiche historische Anmerkungen.

Linear and Integer Programming

Author : Gerard Sierksma
Publisher : Unknown
Page : 639 pages
File Size : 52,5 Mb
Release : 2001
Category : Integer programming
ISBN : 0429153147

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Linear and Integer Programming by Gerard Sierksma Pdf

""Combines the theoretical and practical aspects of linear and integer programming. Provides practical case studies and techniques, including rounding-off, column-generation, game theory, multiobjective optimization, and goal programming, as well as real-world solutions to the transportation and transshipment problem, project scheduling, and decentralization.""

Recent Advances and Historical Development of Vector Optimization

Author : Johannes Jahn,Werner Krabs
Publisher : Springer Science & Business Media
Page : 409 pages
File Size : 53,6 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.

Genetic Algorithms and Fuzzy Multiobjective Optimization

Author : Masatoshi Sakawa
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461515197

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Genetic Algorithms and Fuzzy Multiobjective Optimization by Masatoshi Sakawa Pdf

Since the introduction of genetic algorithms in the 1970s, an enormous number of articles together with several significant monographs and books have been published on this methodology. As a result, genetic algorithms have made a major contribution to optimization, adaptation, and learning in a wide variety of unexpected fields. Over the years, many excellent books in genetic algorithm optimization have been published; however, they focus mainly on single-objective discrete or other hard optimization problems under certainty. There appears to be no book that is designed to present genetic algorithms for solving not only single-objective but also fuzzy and multiobjective optimization problems in a unified way. Genetic Algorithms And Fuzzy Multiobjective Optimization introduces the latest advances in the field of genetic algorithm optimization for 0-1 programming, integer programming, nonconvex programming, and job-shop scheduling problems under multiobjectiveness and fuzziness. In addition, the book treats a wide range of actual real world applications. The theoretical material and applications place special stress on interactive decision-making aspects of fuzzy multiobjective optimization for human-centered systems in most realistic situations when dealing with fuzziness. The intended readers of this book are senior undergraduate students, graduate students, researchers, and practitioners in the fields of operations research, computer science, industrial engineering, management science, systems engineering, and other engineering disciplines that deal with the subjects of multiobjective programming for discrete or other hard optimization problems under fuzziness. Real world research applications are used throughout the book to illustrate the presentation. These applications are drawn from complex problems. Examples include flexible scheduling in a machine center, operation planning of district heating and cooling plants, and coal purchase planning in an actual electric power plant.

Encyclopedia of Optimization

Author : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 4646 pages
File Size : 52,9 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780387747583

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Encyclopedia of Optimization by Christodoulos A. Floudas,Panos M. Pardalos Pdf

The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Linear and Integer Programming

Author : Abdul Bari,Mohammad Faisal Khan,Sanaullah Khan
Publisher : Cambridge Scholars Publishing
Page : 231 pages
File Size : 55,9 Mb
Release : 2019-10-25
Category : Mathematics
ISBN : 9781527542211

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Linear and Integer Programming by Abdul Bari,Mohammad Faisal Khan,Sanaullah Khan Pdf

This book is primarily intended for undergraduate and postgraduate students of statistics, mathematics, operations research, and engineering. It provides the basic concepts and methods of linear and integer linear programming. The text begins with an introduction containing the mathematical background to the subject matter, and goes on to discuss advancements the field. Formulations of various problems in diverse fields in linear and integer programming formats are also presented here. The book’s presentation of the solution of various numerical problems makes the subject matter and the methods detailed in the text more lucid and easier to comprehend.

Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment

Author : Abdullah Ali ,H. Ahmadini,Firoz Ahmad
Publisher : Infinite Study
Page : 25 pages
File Size : 54,6 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment by Abdullah Ali ,H. Ahmadini,Firoz Ahmad Pdf

The existence of neutral /indeterminacy degrees reflects the more practical aspects of decision-making scenarios. Thus, this paper has studied the intuitionistic fuzzy multiobjective linear programming problems (IFMOLPPs) under neutrosophic uncertainty. To highlight the degrees of neutrality in IFMOLPPs, we have investigated the neutrosophic optimization techniques with intuitionistic fuzzy parameters.

Linear and Integer Optimization

Author : Gerard Sierksma,Yori Zwols
Publisher : CRC Press
Page : 676 pages
File Size : 44,5 Mb
Release : 2015-05-01
Category : Business & Economics
ISBN : 9781498743129

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Linear and Integer Optimization by Gerard Sierksma,Yori Zwols Pdf

Presenting a strong and clear relationship between theory and practice, Linear and Integer Optimization: Theory and Practice is divided into two main parts. The first covers the theory of linear and integer optimization, including both basic and advanced topics. Dantzig's simplex algorithm, duality, sensitivity analysis, integer optimization models