Some applications of the theory of infinite capacity service systems to a single server system with linearly state dependent service
- 1 March 1971
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 8 (1) , 202-207
- https://doi.org/10.2307/3211850
Abstract
A certain single server queueing system with negative exponential service with mean rate nμ, when the system contains n customers, and Poisson arrivals, is formally equivalent to the infinite capacity system M/M/∞. This equivalence is exploited to yield in a very simple manner results for the single server system which were previously obtained by difficult analysis (see Hadidi (1969)).Keywords
This publication has 1 reference indexed in Scilit:
- On the service time distribution and the waiting time process of a potentially infinite capacity queueing systemJournal of Applied Probability, 1969