Multiobjective Linear Programming

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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).

Zusammenfassung

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

Includes supplementary material: [...]

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2015
Fachbereich:	Allgemeines
Genre:	Recht , Sozialwissenschaften , Wirtschaft
Rubrik:	Recht & Wirtschaft
Medium:	Buch
Inhalt:	xii 325 S. 30 s/w Illustr. 325 p. 30 illus.
ISBN-13:	9783319210902
ISBN-10:	3319210904
Sprache:	Englisch
Herstellernummer:	978-3-319-21090-2
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Luc, Dinh The
Auflage:	1st ed. 2016
Hersteller:	Springer Nature Switzerland Springer International Publishing Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 24 mm
Von/Mit:	Dinh The Luc
Erscheinungsdatum:	11.08.2015
Gewicht:	0,676 kg

Artikel-ID: 104637137