Abstract
This paper presents a transient analysis of a finite capacity queueing system with catastrophes and state-dependent environmental change parameter. The tendency of the Poisson rate at which the system moves from environmental state F to E increases or decreases as the number of customers in the queue. Also, at some random times, the number of customers is immediately reset to zero whenever a catastrophe occurs at the system. Transient solution is obtained by using the technique of probability generating function. The Steady state solution of the model is obtained by using the property of Laplace transform. Furthermore, we derive and discuss several particular cases of the queueing model, both with and without catastrophes.
Published Version
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