Abstract
In this paper, we study a new class of the discrete time Geom/Geom/1 repairable queuing system with pseudo-fault and multiple vacations. We assume that the system may become disabled only when it is in operation. Service interruption is caused by two kinds of factors of pseudo-fault and breakdown. And they will result in difierent efiects on the system. Using the quasi birth and death chain and matrixgeometric solution method, we may gain the distribution of the stationary queue length. Furthermore, the distribution of systems reliability and the number of customers and the waiting time of a customer in the system in steady state are researched. Finally, some numerical examples are given for analyzing the efiect of parameters on the performance of the system.
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