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Mono and Multi-objective Models for the Emergency Medical Service in the City of Belo Horizonte, Brazil
Mariana Mendes Guimarães, Flávio Vinícius Cruzeiro Martins, Rodr · 2020-11-24 · via math.CO updates on arXiv.org

This work presents the facility location problem for maximum coverage in an emergency medical service called SAMU-BH, located in Belo Horizonte, Minas Gerais, Brazil. The purpose of the proposed model is to find the best locations for its ambulances in order to provide faster in-site assistance whenever necessary. First, it develops a mono-objective model to maximize the coverage rate, defined as the number of calls attended before a target time. Based on the Facility Location and Equipment Emplacement Technique (FLEET) model, a novel mathematical model is proposed, called FLEET-IC, which can work with independent coverages. Secondly, it proposes a multi-objective model to increase total coverage while reducing the number of installed bases. The results show that the mono-objective model's application increases the coverage rate up to 48%, considering the busy fraction factor and up to 26% without it. It also analyzes the effect on the coverage rate of the inclusion of additional ambulances.

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