An M/G/1 Feedback retrial queue with working vacation and a waiting server
Keywords:
Retrial queue, Working vacation, Supplementary variable technique, Waiting server, Feedback.Abstract
An M/G/1 feedback retrial queue with working vacation and a waiting server is taken into consideration in this study. Both retrial times and service times are assumed to follow general distribution and the waiting server follows an exponential distribution. During the working vacation period customers are served at a lesser rate of service. Before going for a vacation the server waits for some
arbitrary amount of time and so is called a waiting server. We obtain the probability generating function (PGF) for the number of customers and the mean number of customers in the invisible waiting area by utilizing the supplementary variable technique. We compute the mean waiting time. Out of interest a few special cases are conferred. Numerical outcomes are exhibited.
