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

Authors:
Soohan Ahn;Gyemin Lee;Jongwoo Jeon
Affiliations:
Department of Statistics, Seoul National University, Seoul 151-742, South Korea;Department of Statistics, Gyeongsang National University, 660-701, South Korea;Department of Statistics, Seoul National University, Seoul 151-742, South Korea
Venue:
Operations Research Letters
Year:
2000

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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.