Download PDFOpen PDF in browserA Discrete Time Retrial Queueing System Starting Failures, Bernoulli Feedback with General Retrial Times and a VacationEasyChair Preprint 726319 pages•Date: December 27, 2021AbstractThis article is concerned with a discrete time Geo/G/1 retrial queue with general retrial times, Bernoulli feedback and the server subject to starting failures and a vacation. In this article we generalize the previous works in discrete time retrial queue with unreliable serverm due to starting failures in the sense that we consider general service with Bernoulli feed back and general rtrial times with single vacation. In this model arrival time follows geometrical distribution and vacation times are generally distributed. In this model the PGF is derived by using generaing function technique and also we obtain the analytical expression for mean queue length in performance measure. In numerical examples we analyzed the effectis of mean queue length in several possible ways. Keyphrases: Bernoulli feedback, Discrete-time retrial queue, Markov chain, Unreliable server, mean queue length
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