The analysis of a multiserver queue fed by a discrete autoregressive process of order 1

Authors:
Bong Dae Choi;Bara Kim;Gang Uk Hwang;Jae-Kyoon Kim
Affiliations:
Department of Mathematics and Telecommunication Mathematics Research Center, Korea University, 1, Anam-dong, Sungbuk-ku, Seoul 136-701, South Korea;Department of Mathematics and Telecommunication Mathematics Research Center, Korea University, 1, Anam-dong, Sungbuk-ku, Seoul 136-701, South Korea;Division of Applied Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-Dong, Yusong-Gu, Taejon 305-701, South Korea;Department of Electrical Engineering, Korea Advanced Institute of Science and Technology, 373-1 Kusong-Dong, Yusong-Gu, Taejon 305-701, South Korea
Venue:
Operations Research Letters
Year:
2004

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Abstract

Based on matrix analytic methods and the theory of Markov regenerative processes, we obtain the stationary distributions of the system size and the waiting time in a multiserver queue into which packets arrive according to a discrete autoregressive process of order 1.