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M.L. Chaudhry, “Some Queueing Problems with Phase Type Service, Operations Research”, Vol. 14, No. 3, 1966.

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Article

Transient and Numerical Solution of a Feedback Queueing System with Correlated Departures

1Department of Statistics, Punjabi University, Patiala, India


American Journal of Numerical Analysis. 2014, Vol. 2 No. 1, 20-28
DOI: 10.12691/ajna-2-1-5
Copyright © 2014 Science and Education Publishing

Cite this paper:
Neelam Singla, P.C. Garg. Transient and Numerical Solution of a Feedback Queueing System with Correlated Departures. American Journal of Numerical Analysis. 2014; 2(1):20-28. doi: 10.12691/ajna-2-1-5.

Correspondence to: Neelam  Singla, Department of Statistics, Punjabi University, Patiala, India. Email: neelgagan2k3@yahoo.co.in

Abstract

This paper studies a feedback queueing system with correlated departures. Departures take place only at transition marks. Inter-arrival times and inter-transition times follow exponential distributions. Transient-state queue length probabilities and laplace transform of the generating function of transient-state queue length probabilities are obtained. A few special cases of interest are also derived. Various probabilities relating the model are obtained numerically and are compared graphically.

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