科研之友
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摘要
This paper relates to a repairable Geo/G/1 retrial queue with general retrial times, Bernoulli feedback, the server subjected to starting failures and two types of customers: transit and a fixed number of recurrent customers. After service completion, recurrent customers always return to the orbit and transit customers either immediately return to the orbit for another service with probability theta(0 <= theta < 1) or leave the system forever with probability 1 - theta. We construct the mathematical model and present some performance measures of the model in steady-state. We provide a stochastic decomposition law and analyze the relationship between our discrete-time system and its continuous-time counterpart. Finally, some numerical examples show the influence of the parameters on the performance characteristics of the system.
