Model of Markovian Queue with Catastrophe, Restoration and Balking

This paper presents an analysis of a finite size queueing model subject to catastrophe, restoration and balking. Whenever a catastrophe happens to a system, all the customers are removed from it instantly. So, the system needs some sort of time to regain its state to accept new customers. The time taken by the system is restoration time. Balking is nothing but when the customers are not willing to join the queue because of its length. The model has its performance measures after solved by matrix geometric method. Numerical illustrations and some graphical representations are presented.