GI/GI/1 queues with infinite means of service time and interarrival time
Słowa kluczowe:
Lévy process, stable distribution, GI/GI/1 queueing system, heavy traffic, stationary waiting time, tightnessAbstrakt
The main results deal with the GI/GI/1 queues with infinite means of the service times and interarrival times. Theorem 3.1 gives an asymptotic, in a heavy traffic situation, of the equence of waiting times of the consecutive customers. Theorem 4.1 gives an asymptotic of stationary waiting times in a heavy traffic situation. In a special case, the asymptotic stationary waiting times have an exponential distribution Corollary 4.1.
