Name
Abstract | ||
|---|---|---|
Markov fluid models with fluid level dependent behaviour are considered in this paper. One of the main difficulties of the analysis of these models is to handle the case when in a given state the fluid rate changes sign from positive to negative at a given fluid level. We refer to this case as zero transition. The case when this sign change is due to a discontinuity of the fluid rate function results in probability mass at the given fluid level. We show that the case when the sign change is due to a continuous finite polynomial function of the fluid rate results in a qualitatively different behaviour: no probability mass develops and different stationary equations apply. We consider this latter case of sign change, present its stationary description and propose a numerical procedure for its evaluation. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.peva.2011.07.006 | Perform. Eval. |
Keywords | Field | DocType |
fluid rate changes sign,dependent behaviour,latter case,sign change,continuous finite polynomial function,fluid rate result,fluid level,markov fluid model,zero transition,dependent markov fluid model,probability mass,fluid rate function result,differential equation,fluid model | Probability mass function,Differential equation,Polynomial,Mathematical analysis,Markov chain,Discontinuity (linguistics),Rate function,Mathematics,Fluid models | Journal |
Volume | Issue | ISSN |
68 | 11 | 0166-5316 |
Citations | PageRank | References |
0 | 0.34 | 6 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Márton Balázs | 1 | 0 | 0.68 |
| Gábor Horváth | 2 | 210 | 35.47 |
| Sándor Kolumbán | 3 | 2 | 1.79 |
| Peter Kovacs | 4 | 117 | 12.47 |
| Miklós Telek | 5 | 922 | 102.56 |