Queueing phenomenon is prevalent in all areas of society and a reasonable queueing design can improve service efficiency and customer satisfaction. In order to adapt to the new requirements of web service system, this paper studies a Geo/Geo/1 retrial queue with working vacation interruption and nonpersistent customers. Firstly, a series of assumptions about the queueing system are put forward and the corresponding transition probability matrix is obtained. Then the stationary condition of the queueing system is derived. After that, the stationary distribution and the performance measures are obtained by using the matrix-analytic method. Finally, numerical analysis is conducted to discuss the effect of parameters on performance measures, furthermore, the performance of the queueing model is optimized to obtain the best parameters and the minimum cost.
Web service Discrete-time queueing system Retrial Working vacation interruption Nonpersistent customers
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