Feedback of a Non-Truncated Erlang Queuing System with Balking and Retention of Reneged Customers
Applied and Computational Mathematics
Volume 7, Issue 2, April 2018, Pages: 40-49
Received: Jan. 17, 2018;
Accepted: Jan. 31, 2018;
Published: Feb. 27, 2018
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Kotb Abdel Hamid Kotb, Department of Mathematics and Statistics, Faculty of Science, Tanta University, Tanta, Egypt
Moamer Akhdar, Department of Mathematics and Statistics, Faculty of Science, Tanta University, Tanta, Egypt
The aim of this paper is to derive the analytical solution of the non-truncated single-channel Erlangian queue: M/Ek/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 models are derived as special cases of this system. Some numerical values are given showily the effect of correlation between the probabilities and the additional concepts.
Kotb Abdel Hamid Kotb,
Feedback of a Non-Truncated Erlang Queuing System with Balking and Retention of Reneged Customers, Applied and Computational Mathematics.
Vol. 7, No. 2,
2018, pp. 40-49.
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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