Title
Balancing the arrival times of users in a two-stage location problem
Abstract
There has been a number of facility location problems dealing with the introduction of the equity issue in the travel distances distribution. In this paper we analyze a new aspect of equity concerning the distribution of the arrival times of customers. Given a depot and a set of demand points generating flow which also represent potential locations, we consider a discrete two-stage location problem whose aim is to locate a given number of facilities and to allocate the demand points to a facility. We assume as objective the maximization of the minimum difference between two consecutive arrival times of flows to the depot through the patronized facility. This particular equity measure is introduced in order to reduce risks of congestion in the dynamic of flow arrivals at the common destination. The problem is described through two Integer Programming formulations. Computational results for solution methods based on both formulations are then shown and analyzed.
Year
DOI
Venue
2016
https://doi.org/10.1007/s10479-015-1886-5
Annals of Operations Research
Keywords
Field
DocType
Discrete location,Equity,Integer programming,Two-stage
Mathematical optimization,Facility location problem,Integer programming,Equity (finance),1-center problem,Mathematics,Maximization
Journal
Volume
Issue
ISSN
246
1
0254-5330
Citations 
PageRank 
References 
1
0.36
23
Authors
3
Name
Order
Citations
PageRank
M. Barbati1533.49
Giuseppe Bruno2112.93
Alfredo Marín345332.98