Abstract
A single server retrial queueing system with two types of service and Bernoulli vacation is analysed in this paper. It is assumed that the arriving job finds the server busy by providing either type of service is said to be in orbit with an FCFS discipline and repeat its request (demand) for service after some random time. The customer at the head of the orbit is allowed to access the server. For such queueing model, the system size probabilities are investigated in steady state by using supplementary variable technique. The effects of various parameters on the system performance are analysed numerically. Stochastic decomposition and some special cases of interest are also discussed.
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