Multiobjective Linear Programming - An Introduction

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.

List of contents

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

Report

"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)

Product details

• Authors: Dinh The Luc
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 11.08.2015
• EAN: 9783319210902
• ISBN: 978-3-31-921090-2
• No. of pages: 325
• Dimensions: 157 mm x 24 mm x 241 mm
• Weight: 666 g
• Illustrations: XII, 325 p. 30 illus.
• Subjects: Social sciences, law, business > Business > General, dictionaries; Optimierung, Operations Research, B, Optimization, Management: Entscheidungstheorie, Business and Management, Operations Research/Decision Theory, Operations Research and Decision Theory, Management & management techniques, Operations Research, Management Science, Management decision making, Management science, Operational research, Decision Making, Mathematical optimization, Continuous Optimization