Discrete-time GI/Geo/1 queue with multiple working vacations

@article{Li2007DiscretetimeGQ,
  title={Discrete-time GI/Geo/1 queue with multiple working vacations},
  author={Ji-Hong Li and Naishuo Tian and Wen-Yuan Liu},
  journal={Queueing Syst.},
  year={2007},
  volume={56},
  pages={53-63}
}
Consider the discrete time GI/Geo/1 queue with working vacations under EAS and LAS schemes. The server takes the original work at the lower rate rather than completely stopping during the vacation period. Using the matrix-geometric solution method, we obtain the steadystate distribution of the number of customers in the system and present the stochastic decomposition property of the queue length. Furthermore, we find and verify the closed property of conditional probability for negative… CONTINUE READING
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