Which Lp norm is the fairest? Approximations for fair facility location across all "p"

Which Lp norm is the fairest? Approximations for fair facility location across all "p"
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DOI:
10.1145/3580507.3597664
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发表时间:
2022-11
期刊:
Proceedings of the 24th ACM Conference on Economics and Computation
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给定一组设施和客户端以及开放设施的成本,经典设施位置问题寻求开放一组设施并将每个客户端分配到一个开放设施,以最小化开放所选设施的成本以及客户端到其分配的开放设施的总距离。这样的目标可能会导致某些社会经济客户群体的不平等成本(即该群体中的客户所行驶的总距离)。在规划急诊室等社会相关设施的位置时,这一点非常重要。
Given a set of facilities and clients, and costs to open facilities, the classic facility location problem seeks to open a set of facilities and assign each client to one open facility to minimize the cost of opening the chosen facilities and the total distance of the clients to their assigned open facilities. Such an objective may induce an unequal cost over certain socioeconomic groups of clients (i.e., total distance traveled by clients in such a group). This is important when planning the location of socially relevant facilities such as emergency rooms.