| Abstrakt: |
This paper deals with an infinite buffer M/M/1 model with working vacations, vacation interruption under Bernoulli schedule and customer's impatience. The server serves the customers at a reduced rate during the working vacation period rather than stopping the service entirely. Customers arriving during the working vacation become impatient. The model is analyzed for two different working vacation termination policies, a multiple working vacation policy and a single working vacation policy. The server commences a working vacation at the instant when it finds the system empty and if there are customers waiting in the system at a service completion instant during working vacation, the server interrupts the vacation and returns to the regular service period with probability 1 − p (i.e., the vacation is interrupted) or carries on with the vacation with probability p. The closed form expressions of the steady-state probabilities and the performance measures of the model are obtained using generating functions. Various numerical results are presented to demonstrate how the different parameters of the model influence the behavior of the stationary characteristics of the system. The stochastic decomposition properties are verified for both multiple and single working vacation cases. [ABSTRACT FROM AUTHOR] |
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