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Analysis of a Discrete-Time Queueing System with a Markov-Modulated input Process and constant service Rate

Published online by Cambridge University Press:  27 July 2009

Woo-Yong Choi  and
Chi-Hyuck Jun
Woo-Yong Choi
Affiliation:
Department of Industrial Engineering, Pohang University of Science and Technology, San 31 Hyoja-dong, Pohang 790–784, Korea
Chi-Hyuck Jun
Affiliation:
Department of Industrial Engineering, Pohang University of Science and Technology, San 31 Hyoja-dong, Pohang 790–784, Korea
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Abstract

We propose a new approach to the analysis of a discrete-time queueing system whose input is generated by a Markov-modulated process and whose service rate is constant. Renewal cycles are identified and the system state on each renewal cycle is modeled as a one-dimensional Markov chain.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 10 , Issue 3 , July 1996 , pp. 429 - 441
Copyright
Copyright © Cambridge University Press 1996

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References

1.Brady, P.T. (1968). A statistical analysis of on-off patterns in 16 conversation. The Bell System Technical Journal 1: 73–91.CrossRefGoogle Scholar
2.Choi, W. & Jun, C. (1995). Exact loss performance analysis of an ATM multiplexer with homogeneous discrete-time ON-OFF sources. Proceedings GLOBECOM '95 1995: 824–827.Google Scholar
3.Choi, W. & Jun, C. (1995). Long-run behavior of an ATM multiplexer with homogeneous discrete-time ON-OFF sources. Technical Report IE-TR-95-06, Department of Industrial Engineering, Pohang University of Science and Technology, Korea.Google Scholar
4.Daigle, J.N. & Langford, J.D. (1986). Models for analysis of packet voice communication systems. IEEE Journal on Selected Areas in Communications 4: 847–855.CrossRefGoogle Scholar
5.Easton, R.L., Hutchinson, P.T., Moncello, R.W., & Muis, R.W. (1982). TASI-E communication system.IEEE Transactions on Communications 4: 803–807.CrossRefGoogle Scholar
6.Li, S.Q. (1987). A new performance measurement for voice transmission in bursty and packet switching. IEEE Transactions on Communications 35: 1083–1094.Google Scholar
7.Li, S.Q. (1989). Study of information loss in packet voice systems. IEEE Transactions on Communications 37: 1192–1202.CrossRefGoogle Scholar
8.Wang, S.S. & Silvester, J.A. (1993). A discrete-time performance model for integrated service ATM multiplexers. Proceedings of GLOBECOM '93 1993: 757–761.Google Scholar