In this paper, we study a Geom/Geom/1 queue with delayed vacation and vacation interruptions. Even if the server has completed all customers, it does not immediately enter working vacation. Only when there are no customers during the delayed vacation, the server begins a working vacation. We also introduce vacation interruption policy during the working vacation. Using quasi-birth-and-death process and matrix-geometric solution method, we give the steady-state distributions for queue length and the probability generating function. Then we gain the stochastic decomposition structure of queue length and sojourn time in the stationary state and obtain the distributions for additional queue length and additional delay time.
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师海燕,魏淳. 带休假延迟和休假可中止的Geom/Geom/1排队[J]. 科学技术与工程, 2011, (27): . shi haiyan, wei chun. The Geom/Geom/1 Queue with Delayed Vacation and Vacation Interruptions[J]. Science Technology and Engineering,2011,(27).