Article contents
NEGATIVE PROBABILITIES AT WORK IN THE M/D/1 QUEUE
Published online by Cambridge University Press: 15 December 2006
Abstract
This article derives amazingly accurate approximations to the state probabilities and waiting-time probabilities in the M/D/1 queue using a two-phase process with negative probabilities to approximate the deterministic service time. The approximations are in the form of explicit expressions involving geometric and exponential terms. The approximations extend to the finite-capacity M/D/1/N + 1 queue.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 21 , Issue 1 , January 2007 , pp. 67 - 76
- Copyright
- © 2007 Cambridge University Press
References
REFERENCES
- 7
- Cited by