Stationary analysis of a constrained Markov fluid model with two buffers

Abstract.

We consider Markov fluid models with two infinite buffers, whose fluid rates ensure that the fluid level of buffer 1 is never larger than the one of buffer 2. For the model, we derive the system of PDEs describing the transient behavior and expressions for the stationary analysis in the Laplace domain. Examples for the application of the model in the context of network access control are presented. Numerical results are compared with detailed simulation results to show that the numerical approach computes the required measures with sufficient accuracy.

Keywords:

• Laplace transform
• Markov fluid model
• partial differential equations
• stationary analysis
• two infinite fluid buffers

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is partially supported by the OTKA K-138208 project and the Artificial Intelligence National Laboratory Programme.