Fair facility allocation in emergency service system

Journal of Business Economics and Management

Miroslav Plevný¹  Jaroslav Janáček²  Lýdia Gábrišová² 

[1] Department of Economics and Quantitative Methods, Faculty of Economics, University of West Bohemia in Pilsen, Univerzitni 22, 306 14 Plzeň, Czech Republic;Department of Mathematical Methods and Operations Research, Faculty of Management Science and Informatics, University of Žilina, Žilina, Slovakia;

关键词: emergency system design;    collective fairness;    equal accessibility;    allocation problem;    dynamic programming;    polynomial approach;   

DOI  :  10.3846/jbem.2020.12823

来源: DOAJ

【 摘 要 】

The request of equal accessibility must be respected to some extent when dealing with problems of designing or rebuilding of emergency service systems. Not only the disutility of the average user but also the disutility of the worst situated user must be taken into consideration. Respecting this principle is called fairness of system design. Unfairness can be mitigated to a certain extent by an appropriate fair allocation of additional facilities among the centres. In this article, two criteria of collective fairness are defined in the connection with the facility allocation problem. To solve the problems, we suggest a series of fast algorithms for solving of the allocation problem. This article extends the family of the original solving techniques based on branch-and-bound principle by newly suggested techniques, which exploit either dynamic programming principle or convexity and monotony of decreasing nonlinearities in objective functions. The resulting algorithms were tested and compared performing numerical experiments with real-sized problem instances. The new proposed algorithms outperform the original approach. The suggested methods are able to solve general min-sum and min-max problems, in which a limited number of facilities should be assigned to individual members from a finite set of providers.

【 授权许可】

Unknown