Discrete-time multiserver queues with geometric service times

Discrete-time multiserver queues with geometric service times

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Article ID: iaor20043366
Country: United Kingdom
Volume: 31
Issue: 1
Start Page Number: 81
End Page Number: 99
Publication Date: Jan 2004
Journal: Computers and Operations Research
Authors: , ,
Abstract:

In this paper, a discrete-time multiserver queueing system with infinite buffer size and general independent arrivals is considered. The service time of packets are assumed to be independent and identically distributed according to a geometric distribution. Each packet gets service from only one server. In the paper, the behavior of the queueing system is studied analytically by means of a generating-functions approach. This results in closed-form expressions for the mean values, the variances and the tail distributions of the system contents and the packet delay. Some numerical examples are given to illustrate the analysis.

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