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M/M/1 queue of working vacations with set-up time N-policy and negative customers |
Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China) |
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Abstract The M/M/1 queue of working vacations with setup time Npolicy negative customers was investigated for either ″positive″ or ″negative″ customers. The working vacation policy with Npolicy and setup time is exhaustive and multiple working vocation. The negative customers only remove positive customers who are being served at the head of the queue one by one. When there is no positive customer in the system, the arrived negative customers will disappear automatically without service. Based on quasi birth and death process and matrix geometric solution, the steady state distribution for queue length was obtained. The conditional stochastic decomposition structure of the queue length and the waiting time were proved.
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