• D. PAVUNKUMARI
• D.DEVI

In this paper, we using probability generating function method, impatient customers in an M/M/1 working vacation queue with a waiting server and set-up time are discussed in this paper. This paper is organized as follows in section we adopt some usual terminology, notations and conventions which will be used later in the section we establish Customers impatience is due to the server’s vacation. We obtain the probability generating functions of the stationary state probabilities, performance measures, sojourn time of a customer and stochastic decomposition of the queue length and waiting time have also been presented.

M/M/1 queue; impatient customers; Working vacation; Setup time; Probability generating function

"IMPATIENT CUSTOMERS IN AN M/M/1 WORKING VACATION QUEUE WITH A WAITING SERVER AND SETUP TIME", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.37-43, June 2019, Available :http://www.jetir.org/papers/JETIR1907603.pdf

"IMPATIENT CUSTOMERS IN AN M/M/1 WORKING VACATION QUEUE WITH A WAITING SERVER AND SETUP TIME", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp37-43, June 2019, Available at : http://www.jetir.org/papers/JETIR1907603.pdf