Transient analysis of a Markovian Single Vacation Feedback Queue with an Interrupted Closedown Time and Control of Admission During Vacation

Authors

A. Azhagappan, Anna University, Panruti
T. Deepa, Pondicherry University

Abstract

This paper analyzes the transient behavior of an M/M/1 queueing model with single vacation, feedback, interrupted closedown time and control of admission during vacation. The time-dependent system size probabilities for the proposed model are obtained using generating function in the closed form. Further, the system performance measures like mean and variance of system size are also obtained for the time-dependent case. Finally, numerical illustrations are presented to understand the effect for various system parameters.

Recommended Citation

Azhagappan, A. and Deepa, T. (2019). Transient analysis of a Markovian Single Vacation Feedback Queue with an Interrupted Closedown Time and Control of Admission During Vacation, Applications and Applied Mathematics: An International Journal (AAM), Vol. 14, Iss. 1, Article 3.
Available at: https://digitalcommons.pvamu.edu/aam/vol14/iss1/3