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Article

A hierarchical mathematical model of the earthquake shelter location-allocation problem solved using an interleaved MPSO–GA

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Pages 1712-1737 | Received 05 Nov 2018, Accepted 09 Apr 2019, Published online: 01 Jul 2019

Figures & data

Figure 1. Location of Jinzhan, Chaoyang, Beijing, China.

Figure 1. Location of Jinzhan, Chaoyang, Beijing, China.

Figure 2. Evacuation paths, communities, shelters and distribution of population in Jinzhan.

Figure 2. Evacuation paths, communities, shelters and distribution of population in Jinzhan.

Figure 3. Damage level of Jinzhan.

Figure 3. Damage level of Jinzhan.

Figure 4. The EMS and LTS location-allocation problem.

Figure 4. The EMS and LTS location-allocation problem.

Figure 5. Damage level areas and indices of an earthquake affected case study area.

Figure 5. Damage level areas and indices of an earthquake affected case study area.

Figure 6. Interleaved MPSO–GA.

Figure 6. Interleaved MPSO–GA.

Figure 7. Particle selection.

Figure 7. Particle selection.

Figure 8. Pareto optimal solutions obtained by different algorithms.

Figure 8. Pareto optimal solutions obtained by different algorithms.

Figure 9. Pareto optimal set of EMS stage.

Figure 9. Pareto optimal set of EMS stage.

Figure 10. EMS stage result corresponding to Pareto solution (a) A, (b) B and (c) C.

Figure 10. EMS stage result corresponding to Pareto solution (a) A, (b) B and (c) C.

Figure 11. Pareto optimal set of LTSs.

Figure 11. Pareto optimal set of LTSs.

Table 1. EMS location-allocation and the EG of each EMS.

Figure 12. EMS and LTS location-allocation of Pareto solution A, B and C.

Figure 12. EMS and LTS location-allocation of Pareto solution A, B and C.

Table 2. EMS and corresponding LTS and evacuation time of Pareto solution A, B and C.

Supplemental material