N) POLICY FOR REPAIRABLE BULK 4 ARRIVAL QUEUEINGMODELWITH SE TUP,SECOND MUL TI OPTIONAL SERVICE FACILITY UNDER RESTRICTED NUMBER OF (L) SERVER VACATIONS
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Date
2016
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Abstract
This paper analyses a repairable batch arrival queueing model with a second multi optional service(SOS)
channels under (m,N) policy in which the server takes restricted number of multiple vacations during his idle period.The
server leaves the system for vacation as soon as the system empties and after returning from each vacation if the server
finds ‘m’ or more customers in the system then he immediately starts the setup work. Othersvise he repeats his vacation
until he finally finds at least ‘m’ customers or, returns to the system after taking ‘L’ vacations.ie At the end of L"' vacation
if the serv'er finds less than ‘m’ customers, he joins the system and stays idle until the queue length reaches at Ipast ‘m’ ^o
start the setup work. At the end of the setup period, if the queue length is greater than or equal to N, then the setwer begins
to serve the customers one at a tinic.Othervvise, the server remains dormant in the system, waiting for the queue length to
reach atleast N, to start the service. The server may undergo unpredictable breakdowns during the service apd sent for
repair iinmcdiately.As soon as the repair is completed, the server returns to the customer whose service was interrupted.
The system size distribution at random epochs and mean system length are calculated and the corresponding^results for
the classical single and multiple vacation models are obtained as special cases.