ON THE FLUCTUATIONS OF THE STOCHASTIC TRAVELING SALESPERSON PROBLEM

被引：6
|
作者：
RHEE, WT
机构：
来源：
MATHEMATICS OF OPERATIONS RESEARCH | 1991年 / 16卷 / 03期
关键词：
TRAVELING SALESMAN PROBLEM; STOCHASTIC; VARIANCE;
D O I：
10.1287/moor.16.3.482
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
Consider n points X1,..., X(n) independently and uniformly distributed on the unit square [0, 1]2. Denote by T(n) the length of the shortest tour through X1,..., X(n). We prove that for some universal constant K, we have P(\T(n)-E(T(n))\ greater-than-or-equal-to t) greater-than-or-equal-to K-1exp(-t2K) whenever t less-than-or-equal-to K-1n1/2.
引用
收藏
页码：482 / 489
页数：8
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