Abstract
In this article, we analyze an M/G/1 retrial queue with recurrent customers, general retrial times and working vacation. In this model, we use two types of customers. They are recurrent customers who rejoin the retrial queue after completion of their service and transit customers who leaves the system once their service complete. All the service times and retrial times for transit customers follows general distribution, retrial time for recurrent customers and working vacation time of the server are assumed to have an exponential distribution and also service time of the recurrent customers follows general distribution. We have used working vacation which means that server serves customer at low service rate. The supplementary variable technique is used to obtain the probability generating function for the number of customers in the orbit. Here, we compute the average number of customers and waiting time in the orbit. Some of the special cases are discussed. Some numerical examples are illustrated.
Recommended Citation
Bala Murugan, S. Pazhani and Pauline Veronica, A. Jeba
(2023).
(R2060) An M/G/1 Retrial Queue with Recurrent Customers, General Retrial Times and Working Vacation,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
1, Article 1.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss1/1