(max, +) Dynamics Systems for Modeling Traffic with Long-Range Dependence

François Chapeau-Blondeau
1998 Fractals  
A simple first-order recurrence in a (max, +) dynamic system is numerically investigated and shown to exhibit statistical long-range dependence, characterized by slowly decaying aggregated variances and power-law evolutions of the autocorrelation and spectrum. We propose this model as a basis for a very parsimonious modeling of some long-range dependent processes such as data traffic.
doi:10.1142/s0218348x98000365 fatcat:ny4463k2mbg57hlhekd2aoz6fm