Characterization for the queueing system M/G/∞
Published online by Cambridge University Press: 24 October 2008
Extract
Consider a queueing system M/G/s with the arrival intensity λ, the service time distribution function B(t) (B(0) < 1) having a finite mean and the waiting room size N ≤ ∞. If s < ∞ and N = ∞, we shall also assume that its relative traffic intensity is less than 1. Since the arrival process of this system is Poisson, it is immediate that in this case the distribution of the number of arrivals during an interval is infinitely divisible.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 1 , July 1973 , pp. 141 - 143
- Copyright
- Copyright © Cambridge Philosophical Society 1973
References
REFERENCES
- 9
- Cited by