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Emergency evacuation problem for a multi-source and multi-destination transportation network: mathematical model and case study

Author

Listed:
  • Jianghua Zhang

    (Shandong University)

  • Yang Liu

    (Shandong University)

  • Yingxue Zhao

    (University of International Business and Economics)

  • Tianhu Deng

    (Tsinghua University)

Abstract

Disasters such as earthquake or tsunami can easily take the lives of thousands of people and millions worth of property in a fleeting moment. A successful emergency evacuation plan is critical in response to disasters. In this paper, we seek to investigate the multi-source, multi-destination evacuation problem. First, we construct a mixed integer linear programming model. Second, based on K shortest paths and user equilibrium, we propose a novel algorithm (hereafter KPUE), whose complexity is polynomial in the numbers of nodes and evacuees. Finally, we demonstrate the effectiveness of algorithm KPUE by a real evacuation network in Shanghai, China. The numerical examples show that the average computation time of the proposed algorithm is 95% less than that of IBM ILOG CPLEX solver and the optimality gap is no more than 5%.

Suggested Citation

  • Jianghua Zhang & Yang Liu & Yingxue Zhao & Tianhu Deng, 2020. "Emergency evacuation problem for a multi-source and multi-destination transportation network: mathematical model and case study," Annals of Operations Research, Springer, vol. 291(1), pages 1153-1181, August.
    • Handle: RePEc:spr:annopr:v:291:y:2020:i:1:d:10.1007_s10479-018-3102-x
    DOI: 10.1007/s10479-018-3102-x
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