The generating function of ergodic distribution in the M/G/1 system with vacation at the beginning of the busy period

Abstract. Many queueing systems are investigated by means of the embedded Markov chain technique deriving on such way the generating function for the probability distribution. There exists another approach, namely the stationary probabilities are obtained on the basis of regenerative processes considering the regenerative cycles and the mean values of time spent in different states during them. In the paper we get the generating function of ergodic distribution starting with these probabilities for a system with adjustment at the beginning of busy period.