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

BEATRIZ MARRÓN; JOSÉ BAVIO

Praga

Congreso; 2nd International Conference on Mathematical Modeling in Physical Sciences 2013; 2013

International Conference on Mathematical Modeling in Physical Sciences

Quality of service (QoS) for internet traffic management requires good traffic models andgood estimation of sharing network resource.A link of a network processes all traffic and it is designed with certain capacity C and buffersize B.A Generalized Markov Fluid model (GMFM), introduced by Marr´on (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 theeffective 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 optimizationrelated with it, that allow us to do traffic engineering in links of data networks to calculateboth, minimum capacity required when QoS and buffer size are given or minimum buffer size required when QoS and capacity are given.