Abstract:This paper studies M/M/1 queuing system with Bernoulli feedback, startup, vacation interruption of multistage adaptive vacation, by combining with the equilibrium equation of the model, uses generating function to solve the probability generating function (PGF) of the expected number of customers in the system, average number of customers, the probability of system waiter in a busy period, the probability of a waiter in a holiday, the probability of an attendant at startup stage, and the probability of an attendant in the free period. In addition, by using the properties of strong Markov, the Laplace transform of the customers sojourn in the system is solved.