A sample path analysis for M/M/1 double ended queue with time dependent rates

A sample path analysis for M/M/1 double ended queue with time dependent rates

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Article ID: iaor1996348
Country: India
Volume: 11
Issue: 1
Start Page Number: 125
End Page Number: 130
Publication Date: Jan 1995
Journal: International Journal of Management and Systems
Authors:
Abstract:

In this paper, a novel approach based on random sample path behaviour for the study of the transient distribution of the queue length and busy period of the M/M/1 double ended queueing model is given. The arrival rates of the customers and servers are assumed to be time dependent. The exact solution has been obtained in terms of modified Bessel functions. The suggested technique eliminates the use of generating functions.

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