Name: hierarchical optimization and mathematical physics
SKU: 3410079
Price: 97.78 EUR
Availability: InStock
Author: tsurkov
ISBN: 9780792361756

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portada hierarchical optimization and mathematical physics

hierarchical optimization and mathematical physics

Type

Physical Book

Publisher

Springer

Author

tsurkov

Language

English

Pages

320

ISBN

079236175X

ISBN13

9780792361756

Synopsis "hierarchical optimization and mathematical physics"

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.