Title
Output analysis of multiclass fluid models with static priorities
Abstract
We consider a stochastic fluid flow model with a single server and K infinite capacity buffers. The input to the k-th buffer is a Markovian on-off process that transmits fluid at a constant rate p"k while it is on and at rate 0 while it is off. The fluid is emptied from the buffers by a single server at a constant rate @m according to a static priority service discipline in which class 1 fluid has the highest and class K fluid has the lowest priority. The output process of class k is defined to be on if fluid of class k is leaving the buffer at a positive rate and off otherwise. In this paper we derive an exact method for computing the mean on-time and the mean off-time of the output process of class k. We illustrate the method with a numerical example.
Year
DOI
Venue
2008
10.1016/j.peva.2007.03.002
Perform. Eval.
Keywords
Field
DocType
fluid model,stochastic model,fluid mechanics,stochastic process
Mathematical optimization,Markov process,Computer science,Fluid queue,Real-time computing,Fluid models
Journal
Volume
Issue
ISSN
65
1
Performance Evaluation
Citations 
PageRank 
References 
1
0.37
1
Authors
3
Name
Order
Citations
PageRank
Elena I. Tzenova110.37
Ivo J. B. F. Adan221136.95
Vidyadhar G. Kulkarni353960.15