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Probability Theory of Classical Euclidean Optimization Problems

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Product Code: 9783540636663
ISBN13: 9783540636663
Condition: New
$56.30

Probability Theory of Classical Euclidean Optimization Problems

$56.30
 
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.


Author: Joseph E. Yukich
Publisher: Springer
Publication Date: Mar 18, 1998
Number of Pages: 154 pages
Binding: Paperback or Softback
ISBN-10: 3540636668
ISBN-13: 9783540636663
 

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