Incorporating Conditional Beta-Mean based Equity Metric in Coverage based Facility Location Problems

Abstract

A classical maximum coverage facility location problem (MCLP) tries to maximize the coverage by serving all possible demands within the specified coverage radius. Depending on the applications, several families of MCLP variants have been developed - each with its unique set of additional constraints. One specific application is locating Emergency medical service (EMS) units. EMS units such as ambulances or drones with emergency supplies are located using models such as the maximum expected survival location problem (MEXSLP). However, a classical MEXSLP model tends to locate EMS units near densely populated regions, resulting in increased response times for lowly populated regions. If equity is to be taken into consideration, the EMS units would be placed more uniformly across the region which might result in reduced overall coverage.