This paper considers the transient behaviour of a queueing problem wherein (i) the arivals at the two consecutive transition marks are correlated, (ii), the queue discipline is first-come-firstserved, (iii) service time distribution is exponential, and (iv) the capacity of the service channel is a random variable. TheLaplace transforms of the probability generating functions are obtained for two models. Finally, some particular cases are derived.
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Mohan, C., Murari, K. Time dependent solution of a correlated queueing problem with variable capacity. Metrika 19, 209–215 (1972). https://doi.org/10.1007/BF01893297
- Generate Function
- Stochastic Process
- Probability Theory
- Economic Theory
- Service Time