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Hierarchical Optimization and Mathematical Physics

Name: Hierarchical Optimization and Mathematical Physics
Brand: Springer
SKU: 01396318
Price: 118.29 EUR
Availability: InStock
Author: Vladimir Tsurkov
ISBN: 9780792361756

Vladimir Tsurkov

Language

English

Book Hardback

Libristo code: 01396318

Publishers Springer, January 2000

This book should be considered as an introduction to a special class of hierarchical systems of opti... Full description

Libristo code: 01396318

290 b

118.29 € VAT included

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This book should be considered as an introduction to a special class of hierarchical systems of optimal control, where subsystems are described by partial differential equations of various types. Optimization is carried out by means of a two-level scheme, where the center optimizes coordination for the upper level and subsystems find the optimal solutions for independent local problems. The main algorithm is a method of iterative aggregation. The coordinator solves the problem with macrovariables, whose number is less than the number of initial variables. On the lower level, we have the usual optimal control problems of mathematical physics, which are far simpler than the initial statements. Thus, we bridge the gap between two disciplines: optimization theory of large-scale systems and mathematical physics. The first motivation was a special model of branch planning, where the final product obeys a precept assortment relation. §Audience: The monograph is addressed to specialists in operations research, optimization, optimal control, and mathematical physics.