Abstract
We consider a single server queueing system G/G/1 having general interarrival times (not necessarily i.i.d), i.i.d. service times, and LIFO-P (preemptive last in first out, but not restricted to resumption) service disciplines. Furthermore a customer finding n other customers in system upon his arrival joins the system with probability p(n) and immediately leaves the system with probability 1 - p(n), where 0 ≤ p(n) ≤ 1. The relations among various ergodic probabilities of the number of customers in system are established via sample path arguments. Sufficient conditions are given for the customer average ergodic probability distribution to be geometric, thereby extending recent results of Fakinos (1981) and Yamazaki (1982, 1984). Key words: G/G/1 queues, preemptive last in first out service discipline, geometric distribution, stochastic ordering.
