书目名称 | Probability Theory of Classical Euclidean Optimization Problems | 编辑 | Joseph E. Yukich | 视频video | | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | 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. | 出版日期 | Book 1998 | 关键词 | Euclidean optimization; Median; Operations Research; Probability theory; combinatorial optimization; limi | 版次 | 1 | doi | https://doi.org/10.1007/BFb0093472 | isbn_softcover | 978-3-540-63666-3 | isbn_ebook | 978-3-540-69627-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer-Verlag Berlin Heidelberg 1998 |
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