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Emergency medical center location problem with people evacuation solved by extended TODIM and objective programming

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Abstract

This study aims to decide the location of emergency medical centers and the evacuation of survivors after a disaster happened. An extended interactive multi-criteria decision making method (TODIM) with interval 2-tuple linguistic variables is proposed to evaluate the potential locations of the emergency medical centers. A bi-objective mixed-integer programming is then established to determine the final locations and the evacuation plan based on previous evaluations. A real case of an earthquake in Wenchuan, China in 2008 is analyzed to demonstrate the effectiveness of our method.

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Notes

  1. https://www.baidu.com/sf_bk/item/5.12 /11042644?fr=kg_general&ms=1&rid=11341392210854333362.

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Correspondence to Jiafu Zhang.

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Research supported by NSFC (11201333).

Appendix

Appendix

See Tables 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32.

Table 9 Dominance matrix of each alternative over others with respect to criterion \(C_1\) by \(DM_1\)
Table 10 Dominance matrix of each alternative over others with respect to criterion \(C_1\) by \(DM_2\)
Table 11 Dominance matrix of each alternative over others with respect to criterion \(C_1\) by \(DM_3\)
Table 12 Dominance matrix of each alternative over others with respect to criterion \(C_2\) by \(DM_1\)
Table 13 Dominance matrix of each alternative over others with respect to criterion \(C_2\) by \(DM_2\)
Table 14 Dominance matrix of each alternative over others with respect to criterion \(C_2\) by \(DM_3\)
Table 15 Dominance matrix of each alternative over others with respect to criterion \(C_3\) by \(DM_1\)
Table 16 Dominance matrix of each alternative over others with respect to criterion \(C_3\) by \(DM_2\)
Table 17 Dominance matrix of each alternative over others with respect to criterion \(C_3\) by \(DM_3\)
Table 18 Dominance matrix of each alternative over others with respect to criterion \(C_4\) by \(DM_1\)
Table 19 Dominance matrix of each alternative over others with respect to criterion \(C_4\) by \(DM_2\)
Table 20 Dominance matrix of each alternative over others with respect to criterion \(C_4\) by \(DM_3\)
Table 21 Dominance matrix of each alternative over others with respect to criterion \(C_5\) by \(DM_1\)
Table 22 Dominance matrix of each alternative over others with respect to criterion \(C_5\) by \(DM_2\)
Table 23 Dominance matrix of each alternative over others with respect to criterion \(C_5\) by \(DM_3\)
Table 24 Dominance matrix of each alternative over others with respect to criterion \(C_6\) by \(DM_1\)
Table 25 Dominance matrix of each alternative over others with respect to criterion \(C_6\) by \(DM_2\)
Table 26 Dominance matrix of each alternative over others with respect to criterion \(C_6\) by \(DM_3\)
Table 27 Global dominance matrix of each alternative over others with respect to criteria by \(DM_1\)
Table 28 Global dominance matrix of each alternative over others with respect to criteria by \(DM_2\)
Table 29 Global dominance matrix of each alternative over others with respect to criteria by \(DM_3\)
Table 30 Dominance matrix of each alternative over others with respect to criterion \(C_1\) by \(DM_3\)
Table 31 Results of alternatives
Table 32 Interval 2-tuple linguistic decision matrix

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Gai, L., Peng, Z., Zhang, J. et al. Emergency medical center location problem with people evacuation solved by extended TODIM and objective programming. J Comb Optim 42, 1004–1029 (2021). https://doi.org/10.1007/s10878-019-00502-1

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