FINITE DOMINATING SETS FOR NETWORK LOCATION-PROBLEMS

• 成果类型: Article
• 署名作者: HOOKER, JN; GARFINKEL, RS; CHEN, CK
• 署名单位: University of Connecticut
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.39.1.100
• 发表日期: 1991
• 页码: 100-118
• 关键词: NETWORKS GRAPHS; LOCATION ON NETWORKS

摘要

A research theme involving location on networks, since its inception, has been the identification of a finite dominating set (FDS), or a finite set of points to which an optimal solution must belong. We attempt to unify and generalize results of this sort. We survey the literature and then prove some theorems that subsume most previous results and that are, at the same time, more genral than previous results. The paper is aimed primarily at investigators who wish to know whether an FDS exists for a specific problem.