A note on the allocation of queuing facilities using a minisum criterion

A note on the allocation of queuing facilities using a minisum criterion

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Article ID: iaor199843
Country: United Kingdom
Volume: 48
Issue: 2
Start Page Number: 195
End Page Number: 201
Publication Date: Feb 1997
Journal: Journal of the Operational Research Society
Authors: ,
Keywords: facilities, service
Abstract:

This paper suggests a formulation and a solution procedure for resource allocation problems which consider a central planner, m static queuing facilities providing a homogeneous service at their locations, and a known set of demand points or customers. It is assumed that upon a request for service the customer is routed to a facility by a probabilistic assignment. The objective is to determine how to allocate a limited number of servers to the facilities, and to specify demand rates from customers to facilities in order to minimize a weighted sum of response times. This sum measures the total time lost in the system due to two sources: travel time from customer to facility locations and waiting time for service at the facilities. The setting does not allow for cooperation between the facilities.

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