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- Title
Correlations in Output and Overflow Traffic Processes in Simple Queues.
- Authors
McNickle, Don
- Abstract
We consider some simple Markov and Erlang queues with limited storage space. Although the departure processes from some such systems are known to be Poisson, they actually consist of the superposition of two complex correlated processes, the overflow process and the output process. We measure the cross-correlation between the counting processes for these two processes. It turns out that this can be positive, negative, or even zero (without implying independence). The models suggest some general principles on how big these correlations are, and when they are important. This may suggest when renewal or moment approximations to similar processes will be successful, and when they will not.
- Subjects
MARKOV processes; STOCHASTIC processes; ERLANG (Computer program language); POISSON processes; POINT processes
- Publication
Journal of Applied Mathematics & Decision Sciences, 2007, Vol 2007, Issue 1, p1
- ISSN
1173-9126
- Publication type
Article
- DOI
10.1155/2007/51801