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Probability Theory of Classical Euclidean Optimization Problems
Joseph E. Yukich
出版Springer, 2006-11-14
主題Mathematics / Geometry / GeneralMathematics / Probability & Statistics / General
ISBN354069627X9783540696278
URLhttp://books.google.com.hk/books?id=7u57CwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.