Performance Analysis of an M/M/1 Queue with N-policy Interrupted Closedown Preventive Maintenance Balking and Feedback

Authors

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

Abstract

This paper investigates the transient and stationary behavior of a M/M/1 queueing model with N-policy, interrupted closedown, balking, feedback and preventive maintenance. The server stays dormant (off state) until N customers accumulate in the queue and then starts an exhaustive service (on state). After the service, each customer may either leave the system or get immediate feedback. When the system becomes empty, the server resumes closedown. If any arrival occurs before the completion of closedown time, the closedown work of the server is interrupted and starts the busy period in an exhaustive manner. If no arrival occurs during the closedown time, the server commences preventive maintenance work. When this period ends, the server moves to the idle state and waits N accumulate for service. When the N^th one enters the queue, the server starts the service. The customers may either join the queue or balk when the size of the system is less than N and the server is in off state. The transient and stationary system size probabilities of the proposed model are derived by the method of generating function. Some system performance indices are computed and the numerical simulations are also presented.

Recommended Citation

Azhagappan, A. and Deepa, T. (2020). Performance Analysis of an M/M/1 Queue with N-policy Interrupted Closedown Preventive Maintenance Balking and Feedback, Applications and Applied Mathematics: An International Journal (AAM), Vol. 15, Iss. 1, Article 1.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss1/1