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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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 Unavailable
ISBN 13 9783540636663
ISBN 10 3540636668
Title Probability Theory of Classical Euclidean Optimization Problems
Author Joseph E Yukich
Series Lecture Notes In Mathematics
Condition Unavailable
Binding Type Paperback
Publisher Springer
Year published 1998-03-18
Number of pages 154
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable