
Algorithms for Nonlinear Programming and Multiple Objective Decisions
Berc Rustem(Author)
Wiley (Publisher)
Published on 25. February 1998
Book
Hardback
320 pages
978-0-471-97850-3 (ISBN)
Description
Algorithms (solution methods) are used for optimal decision making with multiple objectives in operations research, management science, economics, finance and engineering design. An optimal decision needs to take into consideration possible future uncertainties which, as they become known, result in a necessary revision of the decision and the consideration of new future uncertainties. This volume is study of this topic. It is a distillation of research in developing methodologies and reflects research in this area. The question of multiple objective decision making with a nonlinear static problem framework is considered using quadratic programming, nonlinear programming, nonlinear constrained min-max, mean-variance optimization and noncooperative Nash games.
More details
Series
Language
English
Place of publication
Chichester
United Kingdom
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
10 illustrations
Dimensions
Height: 235 mm
Width: 155 mm
Weight
570 gr
ISBN-13
978-0-471-97850-3 (9780471978503)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
Optimization of a single objective; quadratic programming algorithms; interactive search for acceptable decisions - updating quadratic objective weights, updating bliss points and arbitrariness of shadow prices, convergence and complexity of decision processes; nonlinear optimization with convex constraints - the Goldstein-Levitin-Polyak algorithm; nonlinear optimization with equality and inequality constraints; convergence rates of SQP algorithms; algorithms for equilibria and games; uncertainty; mean versus variance optimization - the multi-currency portfolio; the nonlinear case; uncertainty with multiple scenarios - discrete min-max algorithm for equality constraints.