Abstract
Catastrophic natural disasters cause devastating damage and leave a huge number of homeless people. Waiting for resettlement in a post-disaster environment brings human suffering, which is defined by waiting cost in this paper. Taking into account waiting cost and fairness consideration simultaneously, a mixed integer linear programming model is constructed for the multiperiod location-allocation process. Two fairness indicators are incorporated to guarantee both the whole-process equity and the periodic equity. The model is implemented in the General Algebraic Modeling System (GAMS) and solved by the CPLEX solver. An illustrative example is provided to explain the model characteristics. Furthermore, a case study of the Yushu earthquake is conducted to demonstrate the applicability of the model to practical problems.
Highlights
Natural disasters have a devastating impact on the human society
Our research focuses on two perspectives: (1) human suffering from the perspective of waiting cost; (2) fairness
Based on the above considerations, this study simultaneously addresses disaster human suffering and fairness principles in a dynamic multiperiod location-allocation (DMPLA) problem
Summary
Natural disasters have a devastating impact on the human society. According to the annual disaster statistical review by Below et al (2018) [1], in 2017, 335 reported natural disasters affected. Hu et al (2014) [4] introduce the idea into a post-disaster victim resettlement problem and present psychological cost functions to represent human suffering. We adopt a min–max method to minimize the maximum unit waiting cost gap between two different disaster areas This objective makes sure that victims in different areas have a fair priority of allocation and it is not preferred that victims in a particular area wait for a much longer time to be allocated and incur more human suffering. Based on the above considerations, this study simultaneously addresses disaster human suffering (which is expressed by waiting cost) and fairness principles in a dynamic multiperiod location-allocation (DMPLA) problem.
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