Abstract
This research work considers a single server queueing model with differentiated vacations. In addition there is a possibility of two types of failures when the server is in a busy period; namely hard failure and soft failure. In the time of soft failure server may work with a slow service rate. We analyzed as a Quasi-Birth-and-Death (QBD) process, using the matrix geometric method, the steady state probability vector of the number of customers in the queue and the stability conditions are produced. Busy period analysis of the proposed model in given. The effects of various parameters on the system performance measures are illustrated numerically.
Recommended Citation
Karthick, V. and Suvitha, V.
(2025).
(R2115) Analysis of Single Server Queueing System with Differentiated Vacations and Differentiated Breakdowns,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
2, Article 1.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss2/1