Multiobjective Linear Programming: An Introduction

✍ Scribed by Dinh The Luc

• Publisher: Springer
• Year: 2016
• Tongue: English
• Leaves: 328
• Edition: 1st ed.
• Category: Library

✦ Synopsis

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

Front Matter....Pages i-xii
Introduction....Pages 1-3
Front Matter....Pages 5-5
Convex Polyhedra....Pages 7-48
Linear Programming....Pages 49-82
Front Matter....Pages 83-83
Pareto Optimality....Pages 85-118
Duality....Pages 119-182
Sensitivity and Stability....Pages 183-237
Front Matter....Pages 239-239
Multiobjective Simplex Method....Pages 241-260
Normal Cone Method....Pages 261-287
Outcome Space Method....Pages 289-307
Back Matter....Pages 309-325

✦ Subjects

Linear programming;Multiple criteria decision making