Location–allocation of multiple-server service centers with constrained queues or waiting times

Location–allocation of multiple-server service centers with constrained queues or waiting times

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Article ID: iaor20031384
Country: Netherlands
Volume: 111
Issue: 1
Start Page Number: 35
End Page Number: 50
Publication Date: Mar 2002
Journal: Annals of Operations Research
Authors: ,
Keywords: location, health services
Abstract:

Recently, the authors have formulated new models for the location of congested facilities, so to maximize population covered by service with short queues or waiting time. In this paper, we present an extension of these models, which seeks to cover all population and includes server allocation to the facilities. This new model is intended for the design of service networks, including health and Emergency Medical System services, banking or distributed ticket-selling services. As opposed to the previous Maximal Covering model, the model presented here is a Set Covering formulation, which locates the least number of facilities and allocates the minimum number of servers (clerks, tellers, machines) to them, so to minimize queueing effects. For a better understanding, a first model is presented, in which the number of servers allocated to each facility is fixed. We then formulate a Location Set Covering model with a variable (optimal) number of servers per service center (or facility). A new heuristic, with good performance on a 55-node network, is developed and tested.

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