2022
DOI: 10.48550/arxiv.2204.06446
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Fairness in Maximal Covering Location Problems

Abstract: This paper provides a general mathematical programming based framework to incorporate fairness measures from the facilities' perspective to Discrete and Continuous Maximal Covering Location Problems. The main ingredients to construct a function measuring fairness in this problem are the use of: (1) ordered weighted averaging operators, a family of aggregation criteria very popular to solve multiobjective combinatorial optimization problems, and (2) α-fairness operators which allow to generalize most of the equ… Show more

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“…Similarly, there are also increasing concerns about fairness on facility location problems (FLPs) that aim to find optimal locations of facilities to satisfy the demand of customers. In [166], the notion of fairness is to ensure that the maximization of the covered demand of one facility does not negatively impact the demand coverage of others. In ambulance location problem [160], [167], the fairness is denoted by the maximization of Bernoulli-Nash social welfare [168], i.e., maximizing the joint probability that everyone receives ambulance on time.…”
Section: Fairness In Multi-objective Optimizationmentioning
confidence: 99%
“…Similarly, there are also increasing concerns about fairness on facility location problems (FLPs) that aim to find optimal locations of facilities to satisfy the demand of customers. In [166], the notion of fairness is to ensure that the maximization of the covered demand of one facility does not negatively impact the demand coverage of others. In ambulance location problem [160], [167], the fairness is denoted by the maximization of Bernoulli-Nash social welfare [168], i.e., maximizing the joint probability that everyone receives ambulance on time.…”
Section: Fairness In Multi-objective Optimizationmentioning
confidence: 99%