Threshold N-Policy for MX/H2/1 Queueing System with Un-reliable Server and Vacations

Abstract

In this paper, we consider a MX/H2/1 queueing system under N-policy with vacation and un-reliable server. Whenever the system
becomes empty, the server may take vacation. After returning from vacation, if the server finds at least N customers waiting in the queue, it immediately provides service to all the customers who are waiting in the queue. If the number of the customers waiting in the queue is less than N, then the server may take another vacation and this process is continued. Some performance measures of the system are derived, which are further evaluated by using Adaptive Network-based Fuzzy Interference Systems (ANFIS). Numerical results and sensitivity analysis are carried out by taking an illustration.