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An Analytical Solution for Queue: M/D/1 with Balking
Applied and Computational Mathematics
Volume 7, Issue 2, April 2018, Pages: 31-39
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
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In this paper we examine the how to of deriving analytical solution in steady-state for non-truncated single-server queueing and service time are fixed (deterministic) with addition the concept balking, using iterative method and the probability generating function. Some measures of effecting of queuing system are obtained using a smooth and logical manner also some special cases of this system. Finality, some numerical values are given showily the effect of correlation between the (p0, pn, L, Wq) and the additional concepts.
Deterministic, Queueing System, Measures of Effectiveness, Generating Function
To cite this article
Kotb Abdel Hamid Kotb, Moamer Akhdar, An Analytical Solution for Queue: M/D/1 with Balking, Applied and Computational Mathematics. Vol. 7, No. 2, 2018, pp. 31-39. doi: 10.11648/j.acm.20180702.11
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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