A Queueing System with Feedback, Catastrophe, State Dependent Input Parameter and Randomly Changing states

In this paper, we have studied a finite capacity queueing system with state dependent input parameter operating in different randomly changing states with feedback and catastrophes. The input parameter is a function of n, the number of customers present in the system. The input rate increases (decreases) according as n, the number of units in the system, is less (greater) than N, a pre- assigned number. We undertake the transient analysis of a limited capacity queueing system with two randomly changing states in the presence of feedback and catastrophes. Transient solution is obtained by using the technique of probability generating function. The steady state results of the model is obtained by using the property of Laplace transform. Finally, some particular cases of the queueing model are also derived and discussed