Hierarchical Optimization and Mathematical Physics - Applied Optimization 37 (Hardback)
  • Hierarchical Optimization and Mathematical Physics - Applied Optimization 37 (Hardback)
zoom

Hierarchical Optimization and Mathematical Physics - Applied Optimization 37 (Hardback)

(author)
£145.00
Hardback 310 Pages / Published: 31/01/2000
  • We can order this

Usually dispatched within 2 weeks

  • This item has been added to your basket
This book should be considered as an introduction to a special dass 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 problern with macrovariables, whose number is less than the number of initial variables. This problern is often very simple. On the lower level, we have the usual optimal control problems of math- ematical physics, which are far simpler than the initial statements. Thus, the decomposition (or reduction to problems ofless dimensions) is obtained. The algorithm constructs a sequence of so-called disaggregated solutions that are feasible for the main problern and converge to its optimal solutionunder certain assumptions ( e.g., under strict convexity of the input functions). 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 preset assortment relation. The ratio coefficient is maximized. Constraints are given in the form of linear inequalities with block diagonal structure of the part of a matrix that corresponds to subsystems. The central coordinator assem- bles the final production from the components produced by the subsystems.

Publisher: Springer
ISBN: 9780792361756
Number of pages: 310
Weight: 1390 g
Dimensions: 235 x 155 x 19 mm
Edition: 2000 ed.

You may also be interested in...

What Is Mathematics?
Added to basket
Probability
Added to basket
£26.49
Paperback
Data Analysis
Added to basket
£31.99
Paperback
Probability Theory
Added to basket
£83.99
Hardback
Advanced Engineering Mathematics
Added to basket
Mathematical Techniques
Added to basket
Maths: A Student's Survival Guide
Added to basket
Engineering Mathematics
Added to basket
Mathematics for Engineers (with CD)
Added to basket
Mathematics for Physics
Added to basket
1089 and All That
Added to basket
£8.99
Paperback

Reviews

Please sign in to write a review

Your review has been submitted successfully.