This paper discusses the inverse center location problem restricted on a tree with different costs and bound constraints. The authors first show that the problem can be formulated as a series of combinatorial linear p...This paper discusses the inverse center location problem restricted on a tree with different costs and bound constraints. The authors first show that the problem can be formulated as a series of combinatorial linear programs, then an O(|V|^2 log |V|) time algorithm to solve the problem is presented. For the equal cost case, the authors further give an O(|V|) time algorithm.展开更多
基金The research is supported by the National Natural Science Foundation of China under Grant Nos.70425004,70221001the National Key Research and Development Program of China under Grant No.2002CB312004
文摘This paper discusses the inverse center location problem restricted on a tree with different costs and bound constraints. The authors first show that the problem can be formulated as a series of combinatorial linear programs, then an O(|V|^2 log |V|) time algorithm to solve the problem is presented. For the equal cost case, the authors further give an O(|V|) time algorithm.