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Multiobjective Linear Programming

An Introduction

Dinh The Luc (Autor)

Buch | Hardcover

XII, 325 Seiten

2015 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-21090-2 (ISBN)

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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.

Dinh The Luc is Distinguished Professor, Director of the Laboratory of Mathematics at Avignon University. He is also Research Fellow of the Vietnam Academy of Science and Technology. He was graduated from Lomonosov Moscow State University in 1974 and received his PhD from the Hungarian Academy of Sciences in 1983. His research interests center on vector optimization, nonsmooth analysis, set-valued analysis and multi-criteria transportation network. His monograph "Theory of Vector Optimization" published by Springer in 1989 is one of the most cited books in this area. He is also co-author with V. Jeyakumar of "Nonsmooth Vector Functions and Continuous Optimization" (Springer 2008).

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

"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)

Erscheint lt. Verlag	11.8.2015
Zusatzinfo	XII, 325 p. 30 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Wirtschaft ► Allgemeines / Lexika
	Wirtschaft ► Betriebswirtschaft / Management ► Unternehmensführung / Management
Schlagworte	convex polyhedra • Duality and stability • Linear Programming • multi-criteria decision making • Multiobjective Optimization • Multiobjective simplex method • Multiple Criteria Decision Making • Normal cone method • Numerical Algorithms • Outcome space method • pareto optimality • Scalar linear programs
ISBN-10	3-319-21090-4 / 3319210904
ISBN-13	978-3-319-21090-2 / 9783319210902
Zustand	Neuware