The MX/G/1 queue with queue length dependent service times

The MX/G/1 queue with queue length dependent service times

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Article ID: iaor2003404
Country: United States
Volume: 14
Issue: 4
Start Page Number: 399
End Page Number: 419
Publication Date: Oct 2001
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors: , , ,
Keywords: management, service, probability, programming: mathematical, stochastic processes
Abstract:

We deal with the MX/G/1 queue where service times depend on the queue length at the service initiation. By using Markov renewal theory, we derive the queue length distribution at departure epochs. We also obtain the transient queue length distribution at time t and its limiting distribution and the virtual waiting time distribution. The numerical results for transient mean queue length and queue length distributions are given.

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