Transient Analysis of Markovian Queueing System with Balking and Reneging Subject to Catastrophes and Server Failures

Authors

Mansour F. Yassen, Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Kingdom of Saudi Arabia.\\ Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt.Follow
A. M. K. Tarabia, Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt.Follow

Author Country (or Countries)

Egypt.

Abstract

In this paper, we present an analysis of the transient and steady states of the infinite Markovian queueing system where both reneging and balking are defined and the system may be entered under catastrophes and server failures repair. Moreover, some other special cases are shown as special case of our new result.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110410

Recommended Citation

F. Yassen, Mansour and M. K. Tarabia, A. (2017) "Transient Analysis of Markovian Queueing System with Balking and Reneging Subject to Catastrophes and Server Failures," Applied Mathematics & Information Sciences: Vol. 11: Iss. 4, Article 10.
DOI: http://dx.doi.org/10.18576/amis/110410
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss4/10