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Volume 7, Issue 2, April 2018, Page: 31-39
An Analytical Solution for Queue: M/D/1 with Balking
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
Received: Jan. 17, 2018;       Accepted: Jan. 31, 2018;       Published: Feb. 27, 2018
Abstract
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.
Keywords
Deterministic, Queueing System, Measures of Effectiveness, Generating Function
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
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