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On a non-Markovian time-dependent queueing system

Published online by Cambridge University Press:  14 July 2016

S. D. Sharma
S. D. Sharma*
Affiliation:
Kurukshetra University
*
∗Postal address: Department of Statistics and Operational Research, Kurukshetra University, Kurukshetra – 132 119, India.
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Abstract

This paper studies the transient and steady-state behaviour of a continuous and discrete-time queueing system with non-Markovian type of departure mechanism. The Laplace transforms of the probability generating function of the time-dependent queue length distribution in the transient state are obtained and the probability generating function of the queue length distribution in the steady state is derived therefrom. Finally, some particular cases are discussed.

Keywords

STATISTICALLY INDEPENDENT ARRIVALSNON-MARKOVIAN DEPARTURES
Type
Research Papers
Information
Journal of Applied Probability , Volume 26 , Issue 1 , March 1989 , pp. 142 - 151
Copyright
Copyright © Applied Probability Trust 1989 

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References

Chaudhry, M. L. (1965) Correlated queueing. CORS 3, 142–151.Google Scholar
Murari, K. (1972) A queueing problem with correlated arrivals and correlated phase type service. Metrika 18, 110–119.CrossRefGoogle Scholar
Sharma, S. D. (1975) On a continuous/discrete time queueing system with arrivals in batches of variable size and correlated departures. J. Appl. Prob. 12, 115–129.Google Scholar