Probability theory of classical Euclidean optimization problems / Joseph E. Yukich
- 作者： Yukich, Joseph E.
- 其他作者：
- 其他題名：
- Springer e-books
- 出版： Berlin ;New York : Springer c1998
- 叢書名： Lecture notes in mathematics ,1675
- 主題： Stochastic geometry. , Random graphs. , Mathematical optimization. , Combinatorial probabilities.
- ISBN： 9783540636663 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005167006 | 機讀編目格式
館藏資訊
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.