Multiobjective Linear Programming: An Introduction by Dinh The Luc (English) Pap

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Multiobjective Linear Programming by Dinh The Luc

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.

FORMAT
Paperback LANGUAGE
English CONDITION
Brand New Publisher Description

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.

Back Cover

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.

Table of Contents

Part I: Background.- Part II: Theory.- Part III: Methods.

Review

"The purpose of this book is to introduce readers to the field of multiobjective optimization using problems with fairly simple structures, namely those in which the objective and constraint functions are linear. … The book is pleasant to read, and contains numerical examples for illustration. The book can be used in the first part of a course on multiobjective optimization for undergraduates or first-year graduate students in applied mathematics, engineering, computer science, operations research, and economics." (I. M. Stancu-Minasian, Mathematical Reviews, April, 2016)

Review Quote

"The purpose of this book is to introduce readers to the field of multiobjective optimization using problems with fairly simple structures, namely those in which the objective and constraint functions are linear. ... The book is pleasant to read, and contains numerical examples for illustration. The book can be used in the first part of a course on multiobjective optimization for undergraduates or first-year graduate students in applied mathematics, engineering, computer science, operations research, and economics." (I. M. Stancu-Minasian, Mathematical Reviews, April, 2016)

Feature

Provides an accessible introduction to the field of multiobjective optimization Begins with an elementary and concise review of the mathematical backgrounds Presents basic notions and advanced developments in the field, amply illustrated with computational examples Includes three popular methods for solving multiobjective linear programs: the multiobjective simplex method, normal direction method and outcome space method

Details ISBN3319369776 Author Dinh The Luc Language English Year 2016 ISBN-10 3319369776 ISBN-13 9783319369778 Format Paperback Media Book DEWEY 519.6 Subtitle An Introduction Imprint Springer International Publishing AG Place of Publication Cham Country of Publication Switzerland Publication Date 2016-10-22 Short Title Multiobjective Linear Programming UK Release Date 2016-10-22 Pages 325 Publisher Springer International Publishing AG Edition Description Softcover reprint of the original 1st ed. 2016 Alternative 9783319210902 Country of Origin NL Product Class Description Management & Business: General Illustrations 30 Illustrations, black and white Audience Secondary
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