### A discrete-time Geo/G/1 retrial queue with general retrial time and M-additional options for service

Muthukrishnan Senthil Kumar (2011)

RAIRO - Operations Research

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This paper concerns a discrete time Geo/G/1 retrial queue with general retrial time in which all the arriving customers require first essential service with probability ${\alpha}_{0}$ while only some of them demand one of other optional services: − ( = 1, 2, 3,...) service with probability ${\alpha}_{r}$. The system state distribution, the orbit size and the system size distributions are obtained in terms of generating functions. The stochastic decomposition law holds for the proposed model. Performance...