Fluid level dependent Markov fluid models with continuous zero transition
| Autor: | Péter Kovács, Sándor Kolumbán, Gábor Horváth, Márton Balázs, Miklós Telek |
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| Rok vydání: | 2011 |
| Předmět: |
Polynomial
Markov chain Computer Networks and Communications Differential equation Mathematical analysis Function (mathematics) Physics::Fluid Dynamics Discontinuity (linguistics) Hardware and Architecture Modeling and Simulation Probability mass function sense organs Rate function Software Mathematics Sign (mathematics) |
| Zdroj: | Performance Evaluation. 68:1149-1161 |
| ISSN: | 0166-5316 |
| DOI: | 10.1016/j.peva.2011.07.006 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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