This paper deals with a general variant of the reverse undesirable(obnoxious)center location problem on cycle graphs.Given a‘selective’subset of the vertices of the underlying cycle graph as location of the existin...This paper deals with a general variant of the reverse undesirable(obnoxious)center location problem on cycle graphs.Given a‘selective’subset of the vertices of the underlying cycle graph as location of the existing customers,the task is to modify the edge lengths within a given budget such that the minimum of distances between a predetermined undesirable facility location and the customer points is maximized under the perturbed edge lengths.We develop a combinatorial O(n log n)algorithm for the problem with continuous modifications.For the uniform-cost model,we solve this problem in linear time by an improved algorithm.Furthermore,exact solution methods are proposed for the problem with integer modifications.展开更多
基金the Sahand University of Technology under the Ph.D.program contract(No.30/15971).
文摘This paper deals with a general variant of the reverse undesirable(obnoxious)center location problem on cycle graphs.Given a‘selective’subset of the vertices of the underlying cycle graph as location of the existing customers,the task is to modify the edge lengths within a given budget such that the minimum of distances between a predetermined undesirable facility location and the customer points is maximized under the perturbed edge lengths.We develop a combinatorial O(n log n)algorithm for the problem with continuous modifications.For the uniform-cost model,we solve this problem in linear time by an improved algorithm.Furthermore,exact solution methods are proposed for the problem with integer modifications.
