Fluid models for single buffer systems
Frontiers in queueing
Joint Distributions for Interacting Fluid Queues
Queueing Systems: Theory and Applications
Second-order stochastic fluid models with fluid-dependent flow rates
Performance Evaluation
EXACT RESULTS FOR A FLUID MODEL WITH STATE-DEPENDENT FLOW RATES
Probability in the Engineering and Informational Sciences
Fluid level dependent Markov fluid models with continuous zero transition
Performance Evaluation
The workload-dependent MAP/PH/1 queue with infinite/finite workload capacity
Performance Evaluation
| Hi-index | 0.00 |
In stochastic fluid models the drift at which the fluid level changes in the fluid buffer and the generator of the underlying process might depend on the discrete state of the system and on the fluid level itself. In this paper we analyse the stationary behaviour of finite buffer Markov fluid models in which the drift and the generator of the underlying continuous time Markov chain (CTMC) depends on both of these parameters. Especially, the case when the drift changes sign at a given fluid level is considered. This case requires a particular treatment, because at this fluid level probability mass might develop. When dealing with sign changes, new problems that were not addressed in previous works arises. The set of stationary equations is provided and a transformation of the unknowns is applied to obtain a solvable system description. Numerical examples introduce the behaviour of fluid systems with various discontinuities and sign changes of the drift.