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块图上的p-maxian问题
引用本文:程郁琨.块图上的p-maxian问题[J].芜湖职业技术学院学报,2009,11(1):8-11.
作者姓名:程郁琨
作者单位:浙江财经学院数学与统计学院,浙江,杭州,310018
基金项目:浙江财经学院校级科研项目 
摘    要:p-maxian问题是在拥有n个demand点的网络中安置P个设施,使得所有demand点到最远设施的赋权距离之和达到最大。在本篇论文中,我们主要讨论在拥有正的顶点权重和单位边长的块图上限制p-maxian问题,并给出一个O(n)时间的算法。

关 键 词:选址问题  限制p-maxian问题  厌恶型选址  块图

The p-maxian problem on block graphs
CHENG Yun-kun.The p-maxian problem on block graphs[J].Journal of Wuhu Vocational Institute of Technology,2009,11(1):8-11.
Authors:CHENG Yun-kun
Institution:CHENG Yun-kun
Abstract:The p-maxian problem is to locate p facilities in a network of n demand points so as to maximize the sum of weighted distance from all clients to the farthest facility. In this paper we study the vertex restricted p-maxian problem on block graphs with positive vertex weights and unit edge lengths. We present an O(n) time algorithm to solve the vertex restricted 2-maxian problem on weighted cycle.
Keywords:Location theory  Vertex-restricted p-maxian problem  Obnoxious facilities  block graph  
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