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