Name: probability theory of classical euclidean optimization problems
SKU: 3486400
Price: 41.55 EUR
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Author: yukich

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portada probability theory of classical euclidean optimization problems

probability theory of classical euclidean optimization problems

Type

Physical Book

Publisher

Springer

Author

yukich

Language

English

Pages

152

ISBN

3540636668

ISBN13

9783540636663

Synopsis "probability theory of classical euclidean optimization problems"

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.