A New Analysis of a Fluid Queue Driven By M/M/1 Queue

Authors

Abdelaziz Darwiesh, Department of Mathematics, Faculty of Science, Damietta University, New Damietta, EgyptFollow
Ahmed Tarabia
Ali El-Baz

Author Country (or Countries)

Egypt

Abstract

In this paper, we consider a fluid queue with an infinite buffer capacity which is both filled and depleted by a fluid at constant rates. These rates are uniquely determined by the number of customers in an M/M/1 queue with constant arrival and service rates. A simple series form is obtained for the joint stationary distribution of the buffer occupancy. This method is explicit where the coefficients of the series are obtained in closed form.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/100322

Recommended Citation

Darwiesh, Abdelaziz; Tarabia, Ahmed; and El-Baz, Ali (2021) "A New Analysis of a Fluid Queue Driven By M/M/1 Queue," Journal of Statistics Applications & Probability: Vol. 10: Iss. 2, Article 22.
DOI: http://dx.doi.org/10.18576/jsap/100322
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol10/iss2/22