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设施数目不确定情况下的截流选址问题

Flow Interception Problem with Uncertainty of Total Number of Facilities

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【作者】 胡丹丹杨超杨珺

【Author】 HU Dan-dan,YANG Chao,YANG Jun(Department of Management Science,Huazhong University of Science and Technology,Wuhan 430074,China)

【机构】 华中科技大学管理学院

【摘要】 由于选址决策的长期性,相关参数会随着时间而变化,所以选址问题存在很多不确定因素。针对在最终设施数目不确定,但已知相应概率的情形下,研究了如何选择初始设施的位置,使得期望值最大的截流选址问题,并建立了整数规划模型。在此基础上给出了未来至多新建一个设施时的启发式算法,并通过算例,与分支定界法进行比较。结果表明,该算法能得到较好的结果。

【Abstract】 Since facility location decisions are frequently long-term in nature,there may be considerable uncertainty regarding the way in which relevant parameters in the location decision will change over time.How to find the initial set of facility locations to intercept the maximum expected flows is studied,under the situation where the total number of facilities to be located is uncertain but the relevant probabilities are known.An integral programming is modeled,and heuristic algorithms are proposed when the additional facility is at most one in future.Cmparing with the branch and bound algorithm through a computational example,the heuristic algorithm is proved to obtain good results.

【关键词】 截流选址不确定启发式算法后悔值
【Key words】 flow interceptionlocationuncertaintyheuristicregret
【基金】 国家自然科学基金资助项目(70601011);教育部新世纪优秀人才支持计划项目(NCET-06-0653)
  • 【文献出处】 工业工程与管理 ,Industrial Engineering and Management , 编辑部邮箱 ,2009年01期
  • 【分类号】N945
  • 【被引频次】11
  • 【下载频次】394
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