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An MX/G/1 retrial g-queue with single vacation subject to the server breakdown and repair
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Journal Article
An MX/G/1 retrial g-queue with single vacation subject to the server breakdown and repair
2013
Overview
An M[X]/G/1 retrial G-queue with single vacation and unreliable server is investigated in this paper. Arrivals of positive customers form a compound Poisson process, and positive customers receive service immediately if the server is free upon their arrivals; Otherwise, they may enter a retrial orbit and try their luck after a random time interval. The arrivals of negative customers form a Poisson process. Negative customers not only remove the customer being in service, but also make the server under repair. The server leaves for a single vacation as soon as the system empties. In this paper, we analyze the ergodical condition of this model. By applying the supplementary variables method, we obtain the steady-state solutions for both queueing measures and reliability quantities.
Publisher
Springer Nature B.V
Subject
