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A multi-period emergency medical service location problem based on Wasserstein-metric approach using generalised benders decomposition method

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  • Yuefei Yuan
  • Qiankun Song
  • Bo Zhou

Abstract

This paper considers a multi-period location and sizing problem for an emergency medical service (EMS) system based on a distributionally robust optimisation (DRO) chance-constrained programming approach. The dynamic uncertain emergency medical requests are described in the ambiguity set, which is constructed based on Wasserstein-metric. The model of this problem focuses on minimising long-term operation costs. The chance constraints ensure the reliability of EMS system for the entire geographic areas. A reformulation of chance constraints is provided in Mixed Integer Linear Program form. For problem solution, a generalised Benders decomposition (GBD) implementation is proposed. A numerical simulation is conducted to illustrate the performance of two solution approaches in terms of computational convergence speed and optimality of the problem.

Suggested Citation

  • Yuefei Yuan & Qiankun Song & Bo Zhou, 2023. "A multi-period emergency medical service location problem based on Wasserstein-metric approach using generalised benders decomposition method," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(6), pages 1173-1185, April.
    • Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1173-1185
    DOI: 10.1080/00207721.2023.2168144
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