Author

A. A. El-Sherbiny

2 articles in our journals

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Research ArticleOpen accessTransient Solution to an infinite Server Queue with Varying Arrival and Departure RateA. A. El-SherbinyProblem statement: In many potential application of queueing theory, the transient solution of queueing system is important. Approach: This study presented the transient solution for infinite server queues with Poisson arrivals and exponential service times when the parameters of both distributions are allowed to vary with time. Based on generating functions technique which results in a simple differential equation. Using … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,977 accessesView PDF Cite

Research ArticleOpen accessTransient Solution of the M/M/C1 Queue with Additional C2 Servers for Longer Queues and BalkingR. O. Al-Seedy, A. A. El-Sherbiny, S. A. EL-Shehawy, S. I. AmmarThe goal of this research is to discuss the M/M/C1 queue with additional C2 servers for longer queues and balking. By using generating function technique the transient probabilities are derived in terms of the modified Bessel function. …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 7,416 accessesView PDF Cite