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On a continuous/discrete time queueing system with arrivals in batches of variable size and correlated departures

Published online by Cambridge University Press:  14 July 2016

S. D. Sharma
S. D. Sharma*
Affiliation:
Government College, Kurukshetra, India
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Abstract

This paper studies the behaviour of a first-come-first-served queueing network with arrivals in batches of variable size and a certain service time distribution. The arrivals and departures of customers can take place only at the transition time marks and the intertransition time obeys a general distribution. The Laplace transforms of the probability generating functions for the queue length are obtained in the two cases; (i) when departures are correlated; (ii) when departures are uncorrelated; and the steady state results are derived therefrom. It has also been shown that the steady state continuous time solution is the same as the steady state discrete time solution.

Keywords

CONTINUOUS AND DISCRETE TIME QUEUEING SYSTEMBATCH ARRIVALS OF VARIABLE SIZECORRELATED DEPARTURESTIME DEPENDENT AND STEADY STATE SOLUTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 12 , Issue 1 , March 1975 , pp. 115 - 129
Copyright
Copyright © Applied Probability Trust 1975 

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References

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