• D.MOGANRAJ
• S.Syamala,
• S.Kalaiselvan
• R.Vijayaraj

This research article deals with single server retrial queue with setup time at the vacation policy. Arriving customers join the system when the server is idle with probability p or the server shows busy when the customer decide to join retrial group with probability 1-p. Head of the customer in the orbit get service and access to the system. If the system is free then the retrial customer gets service immediately, otherwise the customers again enter the orbit or leave the system because of impatience. If the system is totally free when no customer in the arrival and in the orbit then server fix the time to go to the vacation. In steady state, the probabilities of generating function and queue length have been obtained. Expected number of customer in the retrial group and expected waiting time of the customer in the orbit are also obtained. We have obtained expression for the performance measures of the system.

Setup time, Optional service, Vacation, Retrial queue. Supplementary variable, Queue length, multiple vacations Performance measures, Steady-state solutions

"A STUDY ON SINGLE SERVER RETRIAL QUEUE WITH SETUP TIME IN VACATION POLICY", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.410-418, June 2019, Available :http://www.jetir.org/papers/JETIR1908526.pdf

"A STUDY ON SINGLE SERVER RETRIAL QUEUE WITH SETUP TIME IN VACATION POLICY", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp410-418, June 2019, Available at : http://www.jetir.org/papers/JETIR1908526.pdf