Quantitative Pareto Analysis by Cone Separation Technique

Ignacy Kaliszewski

ISBN 10: 0792394925 / ISBN 13: 9780792394921

Published by Springer US Sep 1994, 1994

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -This work results from my interest in the field of vector optimiza tion. I stumbled first upon this subject in 1982 during my six months visit to the Istituto di Elaborazione della Informazione in Pisa, Italy, supported by a fellowship of the (Italian) Consiglio Nationale delle Richerche. I was attracted then by a gap between vector optimiza tion used to serve as a formal model for multiple objective decision problems and the decision problems themselves, the gap nonexis tent in scalar optimization. Roughly speaking, vector optimization provides methods for ranking decisions according to a partial order whereas decision making requires a linear ordering of decisions. The book deals with vector optimization. However, vector opti mization is considered here not only as a topic of research in itself but also as a basic tool for decision making. In consequence, all results presented here are aimed at exploiting and understanding the structure of elements (decisions) framed by a vector optimiza tion problem with the underlying assumption that the results should be interpretable in terms and applicable in the context of decision making. Computational tractability of results is therefore of special concern throughout this book. A unified framework for presentation is offered by the Cone Sep aration Technique (CST) founded on the notion of cone separation. 180 pp. Englisch.

Seller Inventory # 9780792394921

Bibliographic Details

• Title: Quantitative Pareto Analysis by Cone Separation Technique
• Publisher: Springer US Sep 1994
• Publication Date: 1994
• Language: English
• ISBN 10: 0792394925
• ISBN 13: 9780792394921
• Binding: Buch
• Condition: Neu
• Dimensions: 235W x 157H x 15D millimeters 235 millimeters width by 157 millimeters height by 15 millimeters depth
• Weight: 422 grams

About this title

Synopsis

This work results from my interest in the field of vector optimiza­ tion. I stumbled first upon this subject in 1982 during my six months visit to the Istituto di Elaborazione della Informazione in Pisa, Italy, supported by a fellowship of the (Italian) Consiglio Nationale delle Richerche. I was attracted then by a gap between vector optimiza­ tion used to serve as a formal model for multiple objective decision problems and the decision problems themselves, the gap nonexis­ tent in scalar optimization. Roughly speaking, vector optimization provides methods for ranking decisions according to a partial order whereas decision making requires a linear ordering of decisions. The book deals with vector optimization. However, vector opti­ mization is considered here not only as a topic of research in itself but also as a basic tool for decision making. In consequence, all results presented here are aimed at exploiting and understanding the structure of elements (decisions) framed by a vector optimiza­ tion problem with the underlying assumption that the results should be interpretable in terms and applicable in the context of decision making. Computational tractability of results is therefore of special concern throughout this book. A unified framework for presentation is offered by the Cone Sep­ aration Technique (CST) founded on the notion of cone separation.