JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (10): 77-82.doi: 10.6040/j.issn.1671-9352.0.2019.914

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On the facility systems reliability based on network location

WEI Zong-tian1, FANG Hui1, LI Yin-kui2   

  1. 1. Department of Mathematics, Xian University of Architecture and Technology, Xian 710055, Shaanxi, China;
    2. School of Mathematics and Statistics, Qinghai Nationalities University, Xining 810000, Qinghai, China
  • Online:2020-10-20 Published:2020-10-07

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Abstract: The structure of the facility system is represented by a network, where vertices represent service facilities or customers, and the edges represent the transmission channel of goods or information. The reliability of such a facility system is to a large degree adversely affected by the edge failures in the network. In order to measure the reliability of a network in this situation, a feasible reliability concept is proposed. Based on the three classical facility location problems, set covering location problem, p-median problem and uncapacitated fixed charge location problem, a comprehensive location model is established. A heuristic algorithm is designed for solving the discrete optimal problem. It is shown by an instance that the system reliability can be improved obviously with a little cost increase.

Key words: facility location, network, feasible reliability, edge failure, neighbor search algorithm

CLC Number: 

  • O157.5
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