Probability Theory of Classical Euclidean Optimization Problems by Joseph E Yukich

Probability Theory of Classical Euclidean Optimization Problems by Joseph E Yukich

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Résumé

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.

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Probability Theory of Classical Euclidean Optimization Problems by Joseph E Yukich

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.
SKU Non disponible
ISBN 13 9783540636663
ISBN 10 3540636668
Titre Probability Theory of Classical Euclidean Optimization Problems
Auteur Joseph E Yukich
Série Lecture Notes In Mathematics
État Non disponible
Type de reliure Paperback
Éditeur Springer
Année de publication 1998-03-18
Nombre de pages 154
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible