Probability Theory of Classical Euclidean Optimization Problems / Lecture Notes in Mathematics Bd.1675 (PDF)

Name: Probability Theory of Classical Euclidean Optimization Problems / Lecture Notes in Mathematics Bd.1675
Brand: Springer Berlin Heidelberg
SKU: 104038725
Price: 38.49 EUR
Availability: OnlineOnly

(Sprache: Englisch)

Autor: Joseph E. Yukich

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Probability Theory of Classical Euclidean Optimization Problems / Lecture Notes in Mathematics Bd.1675, Joseph E. Yukich

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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.