Analysis of an M/M/1 Queueing System with Impatient Customers and a Variant of Multiple Vacation Policy
نویسندگان
چکیده
In this paper, we consider an M/M/1 queueing system with impatient customers and a variant of multiple vacation policy, where we examine the case that customer impatience is due to the servers’ vacation. Whenever a system becomes empty, the server takes a vacation. However, the server is allowed to take a maximum number of vacations, denoted by K vacations, if the system remains empty after the end of a vacation. We derive the probability generating functions of the steady-state probabilities and obtain the closed-form expressions of the system sizes when the server is in different states. In addition, we obtain the closed-form expressions for other important performance measures. Finally, we present some numerical results.
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