Multi-server queueing systems with cooperation of the servers

Multi-server queueing systems with cooperation of the servers

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Article ID: iaor20091423
Country: Netherlands
Volume: 162
Issue: 1
Start Page Number: 57
End Page Number: 68
Publication Date: Sep 2008
Journal: Annals of Operations Research
Authors: , , ,
Keywords: M/M/c queues
Abstract:

In this paper, we consider an N-server queueing model with homogeneous servers in which customers arrive according to a stationary Poisson arrival process. The service times are exponentially distributed. Two new customer's service disciplines assuming simultaneous service of arriving customer by all currently idle servers are discussed. The steady state analysis of the queue length and sojourn time distribution is performed by means of the matrix analytic methods. Numerical examples, which illustrate advantage of introduced disciplines comparing to the classical one, are presented.

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