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- Title
Analysis of an $$M/M/1+G$$ queue operated under the FCFS policy with exact admission control.
- Authors
Das, Sudipta; Jenkins, Lawrence; Sengupta, Debasis
- Abstract
In this article, we present an exact theoretical analysis of an $$M/M/1$$ system, with arbitrary distribution of relative deadline for the end of service, operated under the first come first served scheduling policy with exact admission control. We provide an explicit solution to the functional equation that must be satisfied by the workload distribution, when the system reaches steady state. We use this solution to derive explicit expressions for the loss ratio and the sojourn time distribution. Finally, we compare this loss ratio with that of a similar system operating without admission control, in the cases of some common distributions of the relative deadline.
- Subjects
QUEUING theory; LOCAL times (Stochastic processes); PRODUCTION scheduling; DISTRIBUTION (Probability theory); MANAGEMENT science; PRODUCTION control
- Publication
Queueing Systems, 2013, Vol 75, Issue 2-4, p169
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-013-9366-6