Modified vacation policy for M/G/1 retrial queue with balking and feedback

This paper studies a general retrial queue with balking and Bernoulli feedback, where the server operates a modified vacation policy. If he server is busy or on vacation, an arriving customer either enters an orbit with probability b, or balks (does not enter) with probability 1 - b. Otherwise the service of the arriving customer commences immediately. At any service completion epoch, the test customer may either enter the orbit for another service with probability p or leave the system with probability 1 - p. If the orbit is empty, the server takes at most J vacations until at least one customer is recorded in the orbit when the server returns from a vacation. This retrial system has potential applications in e-mail system and WWW server. By applying the supplementary variable technique, some important performance measures are derived. The effect of various retrial/vacation time distributions and different values of J on the system performance measures is also investigated. The analyses and results presented in this paper may be useful for network system designers and software system engineers. (C) 2009 Elsevier Ltd. All rights reserved.