Single server queueing model with Multiple Working Vacation, Feedback and Catastrophe

In our model, we discussedabout the queueing model where the server with Multiple Working Vacation, Feedback and Catastrophe. Customer get into the organization with parameter λ comes offPoisson process. Service time during multiple working vacation epoch, normal service epoch and vacation epochare all exponentially distribution with parameters µ1, µ2 and γ respectively. If queue length increases during a working vacation epoch, the server goes to normal working epoch. If there is no arrival the server takes another vacation is called Multiple Working Vacation. In this paper also dispute about catastrophe and feedback. The catastrophe occurswith parameter ζ comes off Poisson process. After the completion of service, each client may reenter the system as unsatisfied client or leave the system. This type of model is analyzed by using Matrix Geometric Approach to derive probability vectors. From that, we also obtain some performance measurements.