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ISBN: 079236175X
[SR: 8509547], Hardcover, [EAN: 9780792361756], Springer, Springer, Book, [PU: Springer], Springer, 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., 2602, Theory, 2581, Economics, 3, Business & Money, 1000, Subjects, 283155, Books, 13922, Game Theory, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13946, Linear Programming, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13905, Calculus, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 14567, Mathematical Physics, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 14596, System Theory, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 491586, Economic Theory, 491584, Economics, 468220, Business & Finance, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491544, Calculus, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491732, Physics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books
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Vladimir Tsurkov:
Hierarchical Optimization and Mathematical Physics (APPLIED OPTIMIZATION Volume 37) - hardcoverISBN: 079236175X
[SR: 8509547], Hardcover, [EAN: 9780792361756], Springer, Springer, Book, [PU: Springer], Springer, 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., 2602, Theory, 2581, Economics, 3, Business & Money, 1000, Subjects, 283155, Books, 13922, Game Theory, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13946, Linear Programming, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13905, Calculus, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 14567, Mathematical Physics, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 14596, System Theory, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 491586, Economic Theory, 491584, Economics, 468220, Business & Finance, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491544, Calculus, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491732, Physics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books
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ISBN: 9780792361756
ID: 9780792361756
This book should be considered as an introduction to a special class o f hierarchical systems of optimal control, where subsystems are descri bed by partial differential equations of various types. Optimization i s carried out by means of a two-level scheme, where the center optimiz es coordination for the upper level and subsystems find the optimal so lutions for independent local problems. The main algorithm is a method of iterative aggregation. The coordinator solves the problem with mac This book should be considered as an introduction to a special class o f hierarchical systems of optimal control, where subsystems are descri bed by partial differential equations of various types. Optimization i s carried out by means of a two-level scheme, where the center optimiz es coordination for the upper level and subsystems find the optimal so lutions for independent local problems. The main algorithm is a method of iterative aggregation. The coordinator solves the problem with mac rovariables, whose number is less than the number of initial variables. On the lower level, we have the usual optimal control problems of ma thematical 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. Textbooks New, Books~~Mathematics~~Game Theory, Hierarchical-Optimization-and-Mathematical-Physics~~Vladimir-Tsurkov, , , , , , , , , , Springer US
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ISBN: 079236175X
[SR: 1275825], Gebundene Ausgabe, [EAN: 9780792361756], Springer US, Springer US, Book, [PU: Springer US], Springer US, 58217011, Theorie, 58202011, Wirtschaftswissenschaften, 58173011, Business, Karriere & Geld, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56181011, Spieltheorie, 56248011, Angewandte Mathematik, 56214011, Mathematik, 56047011, Fachbücher, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56253011, Lineare Programmierung, 56248011, Angewandte Mathematik, 56214011, Mathematik, 56047011, Fachbücher, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56246011, Infinitesimalrechnung, 56230011, Reine Mathematik, 56214011, Mathematik, 56047011, Fachbücher, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56272011, Mathematische Physik, 56375011, Physik, 56047011, Fachbücher, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56376011, Akustik & Schall, 56375011, Physik, 56047011, Fachbücher, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56395011, Systemtheorie, 56375011, Physik, 56047011, Fachbücher, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56270011, Chaos & Systeme, 56375011, Physik, 56047011, Fachbücher, 54071011, Genres, 52044011, Fremdsprachige Bücher, 208622031, Gebundene Ausgabe, 208621031, Format (binding_browse-bin), 366250011, Refinements, 52044011, Fremdsprachige Bücher
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2012, ISBN: 079236175X
ID: 3332398434
[EAN: 9780792361756], Neubuch, [PU: SPRINGER VERLAG GMBH 01/04/2012], New print on demand book. Shipped from US. This item is printed on demand.
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Title: | Hierarchical Optimization and Mathematical Physics |
ISBN: | 079236175X |
Details of the book - Hierarchical Optimization and Mathematical Physics
EAN (ISBN-13): 9780792361756
ISBN (ISBN-10): 079236175X
Hardcover
Publishing year: 2000
Publisher: SPRINGER VERLAG GMBH
320 Pages
Weight: 0,630 kg
Language: eng/Englisch
Book in our database since 20.10.2009 17:51:03
Book found last time on 19.07.2016 16:15:31
ISBN/EAN: 079236175X
ISBN - alternate spelling:
0-7923-6175-X, 978-0-7923-6175-6
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