An alternative approach in finding the stationary queue length distribution of a queueing system with negative customers

A single-server queueing system with negative customers is considered in this paper. One positive customer will be removed from the head of queue if any present. The distribution interarrival time for assumed to have a rate that tends constant as t infinity. An alternative approach proposed derive set equations find stationary probabilities. probabilities then used length distribution. Numerical examples presented and compared results found using analytical method simulation procedure. advantage discussed