BOUNDARY EFFECTS IN THE TRAVELING SALESPERSON PROBLEM

被引：4
|
作者：
RHEE, WT
机构：
[1] The Ohio State University, Department of Management Science, Columbus, OH 43210
来源：
OPERATIONS RESEARCH LETTERS | 1994年 / 16卷 / 01期
关键词：
POISSON POINT PROCESS; TRAVELING SALESPERSON PROBLEM; STOCHASTIC MODEL;
D O I：
10.1016/0167-6377(94)90017-5
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 a subset F of [0, 1]2 that is generated by a Poisson point process of constant intensity lambda. Denote by theta(lambda) the expected length of the shortest tour through F. We prove that for lambda large enough, we have c square-root lambda + 1/K less-than-or-equal-to theta(lambda) less-than-or-equal-to c square-root lambda + K, where c, K are universal constants. This settles a conjecture of Karp.
引用
收藏
页码：19 / 25
页数：7
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