• M. Krishna Kumari
• S. Savitha
• K. Kirupa

This paper investigates on batch arrival queueing system with feedback and vacation. If the server is idle upon the arrival, then one of the customers in the arriving batch receives service immediately and the rest joins the queue. On the other hand, if the server is found to be busy or on vacation, then all the customers in the batch joins the queue and waits for service until the busy server becomes free. If the customer is satisfied with the service provided, then he may depart the system otherwise he is allowed to join the tail of the queue as a feedback customer. After completion of service, the server takes a compulsory vacation of random length. The Steady state distributions of the server state are deduced and the mean number of customers in the system and mean number of customers in the queue are obtained.

Batch Arrival, State Dependent, Feedback and Compulsory Vacation.

"Analysis Of M^X/G/1 Queue With State Dependent Arrival, Feedback And Vacation", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 8, page no.924-929, August-2018, Available :http://www.jetir.org/papers/JETIR1808888.pdf

"Analysis Of M^X/G/1 Queue With State Dependent Arrival, Feedback And Vacation", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 8, page no. pp924-929, August-2018, Available at : http://www.jetir.org/papers/JETIR1808888.pdf