Abstract
This paper deals with theN-policyM/M/1 queueing system with working vacations. Once the system becomes empty, the server begins a working vacation and works at a lower service rate. The server resumes regular service when there areNor more customers in the system. By solving the balance equations, the stationary probability distribution and the mean queue length under observable and unobservable cases are obtained. Based on the reward-cost structure and the theory of Markov process, the social welfare function is constructed. Finally, the impact of several parameters and information levels on the mean queue length and social welfare is illustratedvianumerical examples, comparison work shows that queues with working vacations(WV) andN-policy have advantage in controlling the queue length and improving the social welfare.
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