Abstract
In this article, we analyze a single server queueing model with feedback, a single vacation under Bernoulli schedule, breakdown and repair. The arriving customers follow the Markovian Arrival Process (MAP) and service follow the phase-type distribution. When the server returns from vacation, if there is no one present in the system, the server will wait until the customer’s arrival. When the service completion epoch if the customer is not satisfied then that customer will get the service immediately. Under the steady-state probability vector that the total number of customers are present in the system is probed by the Matrix-analytic method. In our model, the stability condition, some system performance measures are discussed and we have examined the analysis of the busy period. Numerical results and some graphical representation are discussed for the proposed model.
Recommended Citation
Ayyappan, G. and Thilagavathy, K.
(2020).
Analysis of MAP/PH/1 Queueing Model with Breakdown, Instantaneous Feedback and Server Vacation,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 15,
Iss.
2, Article 1.
Available at:
https://digitalcommons.pvamu.edu/aam/vol15/iss2/1
Included in
Computer Sciences Commons, Numerical Analysis and Computation Commons, Statistics and Probability Commons