OICC Press International Journal of Mathematical Modelling & Computations 2228-6233 2 4 2016 09 22 A SINGLE SERVER BERNOULLI VACATION QUEUE WITH TWO TYPE OF SERVICES AND WITH RESTRICTED ADMISSIBILITY 261 276 EN R. Kalyanaraman Professor of Mathematics, Annamalai University India Professor of Mathematics 3rd V. Suvitha Annamalai University India Research Student,Annamalaiuniversity Journal Article 2016 09 22 A single server queue with Bernoulli vacation has been considered. In addition the admission to queue is based on a Bernoulli process and the server gives two type of services. For this model the probability generating function for the number of customers in the queue at different server's state are obtained using supplementary variable technique. Some performance measures are calculated. Some particular cases are obtained and numerical examples are also presented.