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Chinese Journal of Management Science ›› 2015, Vol. 23 ›› Issue (1): 82-88.doi: 10.16381/j.cnki.issn1003-207x.2015.01.011

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The LocationModels and Algorithms for Emergency Shelter with Traffic Capacity Constraint

NI Guan-qun1, XU Yin-feng2, XU Jiu-ping2   

  1. 1. School of Management, Fujian Agriculture and Forestry University, Fujian 350002, China;
    2. School of Business, Sichuan University, Chengdu 610065, China
  • Received:2013-01-19 Revised:2013-06-20 Online:2015-01-20 Published:2015-01-21

Abstract: Taking into account the capacity constraint of road, the k-shelter problem is proposed based on the k-center problem. The problem for the case of k=1 on the general tree graph is analyzed and one strategy searching the optimal location for the shelter is designed. On the line graph, the strategy for the case of k=1 is firstly improved and then the properties for the cases of k=2 and k>2 are analyzed, respectively. According to these properties, a kind of binary search algorithms whose time complexity equals O(nlogkn) is proposed for the general case of k on the line graph. The proposed model extends the classical k-center problem, and the designed algorithms are contributed to the practice of emergency management.

Key words: emergency management, k-shelter, k-center, traffic capacity constraint

CLC Number: