2018
DOI: 10.11648/j.acm.20180702.12
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Feedback of a Non-Truncated Erlang Queuing System with Balking and Retention of Reneged Customers

Abstract: The aim of this paper is to derive the analytical solution of the non-truncated single-channel Erlangian queue: M/E k /1 at the steady-state with adding the concepts of balking, feedback strategy and retention of reneged customers. We obtain the probabilities that there are n customers in the system and the customers in the service occupces stage s, (s = 1, 2, …, k), the probability of empty system and some measures of effecting of queuing system are obtained using the iterative method. Some important queueing… Show more

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Cited by 2 publications
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“…The study on balking, reneging, and retrial queues is described in [15][16]. Retention of reneged customers and balking in a non-truncated Erlang queuing system were also examined in [17].…”
Section: Introductionmentioning
confidence: 99%
“…The study on balking, reneging, and retrial queues is described in [15][16]. Retention of reneged customers and balking in a non-truncated Erlang queuing system were also examined in [17].…”
Section: Introductionmentioning
confidence: 99%