SCRS Proceedings of International Conference of Undergraduate Students 2023
M[X]/G(1,K)/1queue with Unreliable Server and with Compulsory Vacation
Authors: Nagarajan. P and Kalyanaraman. R
Publishing Date: 19-12-2023
ISBN: 978-81-955020-4-2
Abstract
A batch arrival and batch service queue have been considered. The arrival pattern is Poisson. After completion of each service, the server takes a compulsory vacation, and the server may also break down at random time epochs during service. For this queuing model, using the supplementary variable technique, the probability-generating function of the number of customers in the queue at different server states has been obtained. The mean queue size and the probability of the server being idle have been derived. Some particular models have been derived. Some numerical models have been derived.
Keywords
queuing, vacation, unreliable server, probability generating function, and operating characteristics
Cite as
Nagarajan. P and Kalyanaraman. R, "M[X]/G(1,K)/1queue with Unreliable Server and with Compulsory Vacation", In: Deepak Bhatia and Himanshu Arora (eds), SCRS Proceedings of International Conference of Undergraduate Students 2023, SCRS, India, 2023, pp. 107-117. a. https://doi.org/10.56155/978-81-955020-4-2-11