Probability Theory of Classical Euclidean Optimization Problems

Joseph E. Yukich

ISBN 10: 3540636668 / ISBN 13: 9783540636663

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 1998, 1998

About this Item

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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 164 pp. Englisch. Seller Inventory # 9783540636663

Bibliographic Details

Title: Probability Theory of Classical Euclidean ...

Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 1998

Publication Date: 1998

Binding: Taschenbuch

Condition: Neu

About this title

Synopsis:

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.

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.