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Enhancing emergency medical service location model for spatial accessibility and equity under random demand and travel time

Zhongqi Wu, Hui Jiang, Yangye Zhou and Haoyan Li

Transportation Research Part E: Logistics and Transportation Review, 2024, vol. 185, issue C

Abstract: This paper proposes a novel emergency medical service (EMS) location model that considers spatial accessibility (SA), equity, cost, random demand, and random travel time of EMS system. We first construct a utility function that incorporates overall SA and equity. Subsequently, under the constraint of a cost budget, we propose a distributionally robust optimization model with the objective of maximizing the utility. Building upon the Wasserstein ambiguity set, we reformulate the original model as a mixed integer p-order cone programming. To handle the computational challenges posed by norms and data size, we propose a utility cut and lift-polyhedron approximation cut generation algorithm. In the numerical experiments section, algorithm comparison, sensitivity analysis, and model comparison demonstrate the significant advantages of the proposed algorithm and model over different benchmarks and corresponding management insights are provided.

Keywords: Emergency medical service; Spatial accessibility; Wasserstein ambiguity set; Distributionally robust optimization; Utility cut; Lift-polyhedron approximation cut (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.tre.2024.103501

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