The Pseudo-fault Geo/Geo/1 Queue with Setup Time and Multiple Working Vacation
In this paper, we consider a discrete time Geo/Geo/1 repairable queueing system with pseudo-fault, setup time, N-policy and multiple working vacations. We assume that the service interruption is caused by pseudo-fault and breakdown, and occurs only when the server is busy. Using quasi birth-and-death chain, we establish a two-dimensional Markov chain. We obtain the distribution of the steady-state queue length by using matrix-geometric solution method. Moreover, We provide several performance indices of the system in steady-state. Finally, we present numerical results to illustrate the effect of several parameters on the systems.
KeywordsPseudo-fault Setup time Multiple working vacation Matrix-geometric solution
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