%0 Journal Article %T Delay Analysis of an Priority Queueing System with Push-out Scheme %A Yutae Lee %A Bong Dae Choi %A Bara Kim %A Dan Keun Sung %J Mathematical Problems in Engineering %D 2007 %I Hindawi Publishing Corporation %R 10.1155/2007/14504 %X This paper considers an M/G/1/K queueing system with push-out scheme which is one of the loss priority controls at a multiplexer in communication networks. The loss probability for the model with push-out scheme has been analyzed, but the waiting times are not available for the model. Using a set of recursive equations, this paper derives the Laplace-Stieltjes transforms (LSTs) of the waiting time and the push-out time of low-priority messages. These results are then utilized to derive the loss probability of each traffic type and the mean waiting time of high-priority messages. Finally, some numerical examples are provided. %U http://www.hindawi.com/journals/mpe/2007/014504/abs/