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

In this paper, we propose a queueing model based on an integer-valued rst-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. c © 2000 Elsevier Science B.V. All rights reserved.