Analysis of the M/D/1-type queue based on an integer-valued first-order autoregressive process

Analysis of the M/D/1-type queue based on an integer-valued first-order autoregressive process

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Article ID: iaor20021449
Country: Netherlands
Volume: 27
Issue: 5
Start Page Number: 235
End Page Number: 241
Publication Date: Dec 2000
Journal: Operations Research Letters
Authors: , ,
Keywords: M/D/1 queues
Abstract:

In this paper, we propose a queueing model based on an integer-valued first-order autoregressive (INAR(1)) process. We derive the queue length distribution and its asymptotic decay rate of the proposed model. Also, our numerical study shows that the new model can be considered as an alternative approach to the well-known MMPP/D/1 queue in terms of performance and amount of computational work.

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