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Chinese Journal of Management Science ›› 2006, Vol. ›› Issue (2): 45-51.

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Time-Satisfaction-Based Maximal Covering Location Problem

MA Yun-feng1, YANG Chao2, ZHANG Min2, HAO Chun-yan2   

  1. 1. School of Management, Wuhan University of Science & Technology, Wuhan 430081, China;
    2. School of Management, Huazhong University of Science & Technology, Wuhan 430074, China
  • Received:2005-09-10 Revised:2006-03-20 Online:2006-04-28 Published:2012-03-07

Abstract: The classical facility location problems think little of time,which is a critical issue for a company to gain its competitive advantage nowadays.In the light of this situation,this paper defined the time satisfaction function and presented the Time-Satisfaction-Based Maximal Covering Location Problem(TSBMCLP).Given a discrete network G(V,A),we formulated TSBMCLP as an integer programming under the goal of maximizing the total satisfaction of customers to the service facility's response time.After investigating the characteristics of TSBMCLP,we provided a heuristic algorithm based on Lagrangian relaxation and coded the algorithm in MATLAB to solve the range of problems considered,the computational result was analyzed after experiment.

Key words: covering location problems, satisfaction, service facility, time

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