Optimal capacity and buffer size estimation under Generalized Markov Fluids Models and QoS parameters

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Bavio, José^1 ; Marrón, Beatriz^1

Universdidad Nacional Del sur, Av. Alem 1253, Bahía Blanca, Buenos Aires, Argentina^1

关键词: Buffer overflows;    Effective bandwidth;    Internet traffic;    Markov fluid models;    Network process;    Optimal capacity;    Optimization problems;    Traffic Engineering;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012110/pdf
DOI  :  10.1088/1742-6596/490/1/012110

来源: IOP

【 摘 要 】

Quality of service (QoS) for internet traffic management requires good traffic models and good estimation of sharing network resource. A link of a network processes all traffic and it is designed with certain capacity C and buffer size B. A Generalized Markov Fluid model (GMFM), introduced by Marro´n (2011), is assumed for the sources because describes in a versatile way the traffic, allows estimation based on traffic traces, and also consistent effective bandwidth estimation can be done. QoS, interpreted as buffer overflow probability, can be estimated for GMFM through the effective bandwidth estimation and solving the optimization problem presented in Courcoubetis (2002), the so call inf-sup formulas. In this work we implement a code to solve the inf-sup problem and other optimization related with it, that allow us to do traffic engineering in links of data networks to calculate both, minimum capacity required when QoS and buffer size are given or minimum buffer size required when QoS and capacity are given.