Steady State Analysis of an M/G/1 Queue with Repeated Attempts and Two-Phase Service
نویسنده
چکیده
Abstract: This paper examines the steady state behavior of an M/G/1 queue with repeated attempts in which the server may provide an additional second phase of service. This model generalizes both the classical M/G/1 retrial queue and the M/G/1 queue with classical waiting line and second optional service. We carry out an extensive stationary analysis of the system, including existence of stationary regime, embedded Markov chain, steady state distribution of the server state and the number of customers in the retrial group, stochastic decomposition and calculation of the first moments.
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