Optimal location of multi-server congestible facilities operating as M/Er/m/N queues

Optimal location of multi-server congestible facilities operating as M/Er/m/N queues

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Article ID: iaor200969212
Country: United Kingdom
Volume: 60
Issue: 5
Start Page Number: 674
End Page Number: 684
Publication Date: May 2009
Journal: Journal of the Operational Research Society
Authors: , ,
Keywords: location
Abstract:

Most models for location of immobile congested facilities assume exponentially distributed service time at the facilities. Although the resulting formulations are tractable, they do not adequately represent service time distributions with small variances, as often occur in practice. In a recent paper, the authors utilized an order r Erlang distribution for the service time, applied to the simple case of single-server facilities. We generalize this approach to multiple-server facilities, which need a different mathematical treatment. The constraint on service availability is cast as a linear constraint on the proportion of time the servers are busy, and its right-hand side parameter is provided for different situations. Extensive analysis is offered on the influence of the parameters of the service time and the capacity of the facilities on the performance of the system. Numerical results are given for a data set relating to the municipality of Rio de Janeiro.

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