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Measures of self-blocking queueing system
Poisson arrival process
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In this thesis, we study a queueing system with self-blocking phenomenon. Poisson arrivals and exponential service times are assumed. We develop the structured generator matrix to compute steady-state probabilities of the self-blocking system with infinite space by matrix-geometric method. The stability condition of the system is obtained in closed-form. We also present some performance measures including mean number of customers in the system, mean waiting time in the system, blocking probability and mean throughput of the system, etc. The characteristics of the system with different service orders are discussed as well.
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