Abstract
This paper refers to some closed two-stage queueing systems with state-dependent vacation policy. By means of the markovian renewal process and the stochastic decomposition formulas of the quantities in equilibrium for M/G/1 vacation models, we derive both stationary distributions of the queue length and the cyclic time for the closed state-dependent vacation model. We try to solve the problems of closed systems by using the known results of the related opened Models, and for the purpose give an example in practice
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