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Probability Theory of Classical Euclidean Optimization Problems: 1675 (Lecture Notes in Mathematics, 1675) - Softcover

 
9783540636663: Probability Theory of Classical Euclidean Optimization Problems: 1675 (Lecture Notes in Mathematics, 1675)

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This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, two-factor, and k-median problems. Essentially self-contained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists.

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Synopsis

This monograph on the probability theory of classical Euclidean optimization problems includes sections on subadditivity and superadditivity, asymptotics for Euclidean functionals, rates of convergence, heuristics, isoperimetry and concentration inequalities.

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  • PublisherSpringer
  • Publication date1998
  • ISBN 10 3540636668
  • ISBN 13 9783540636663
  • BindingPaperback
  • LanguageEnglish
  • Number of pages164

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ISBN 10: 3540636668 ISBN 13: 9783540636663
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Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,350grams, ISBN:9783540636663. Seller Inventory # 4136422

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, two-factor, and k-median problems. Essentially self-contained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists. 164 pp. Englisch. Seller Inventory # 9783540636663

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, two-factor, and k-median problems. Essentially self-contained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists. Seller Inventory # 9783540636663

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods de. Seller Inventory # 4896451

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