Emergency evacuation problem for a multi-source and multi-destination transportation network: mathematical model and case study
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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%.
KeywordsEmergency evacuation Disasters and accidents User equilibrium Shortest path
The first author’s work was partially supported by the National Natural Science Foundation of China (Grant Nos. 71201093, 71571111), the Innovation Method Fund of China (Grant No. 2018IM020200), and the Fundamental Research Funds of Shandong University (Grant No. 2018JC055). The corresponding and third author’s work was partially supported by the National Natural Science Foundation of China (Grant Nos. 71871063, 71371052). The authors also would like to thank the Qilu Young Scholars and Tang Scholars of Shandong University for financial and technical supports.
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