A SIMPLE HEURISTIC FOR THE P-CENTER PROBLEM

被引:113
作者
DYER, ME
FRIEZE, AM
机构
[1] CARNEGIE MELLON UNIV,GRAD SCH IND ADM,PITTSBURGH,PA 15213
[2] UNIV LONDON QUEEN MARY COLL,DEPT COMP SCI & STAT,LONDON E1 4NS,ENGLAND
关键词
D O I
10.1016/0167-6377(85)90002-1
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
A description is given of a simple heuristic for determining the p-center of a finite set of weighted points in an arbitrary metric space. The computational effort is O(np) for an n-point set. The authors show that the ratio of the objective function value of the heuristic solution to that of the optimum is bounded by min(3, 1 plus alpha ), where alpha is the maximum weight divided by the minimum weight of points in the set.
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页码:285 / 288
页数:4
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