Return a stationary sequence of traffic matrices.
The sequence is generated by first generating a single matrix assigning traffic volumes drawn from a lognormal distribution and assigned to specific origin-destination pairs using the Ranking Metrics Heuristic method proposed by Nucci et al. [R27]. Then, all matrices of the sequence are generated by adding zero-mean normal fluctuation in the traffic volumes. This process was originally proposed by [R27]
Stationary sequences of traffic matrices are generally suitable for modeling network traffic over short periods (up to 1.5 hours). Over longer periods, real traffic exhibits diurnal patterns and they are better modelled by cyclostationary sequences
Parameters : | topology : topology
mean : float
stddev : float
gamma : float
log_psi : float
n : int
max_u : float, optional
origin_nodes : list, optional
destination_nodes : list, optional
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Returns : | tms : TrafficMatrixSequence |
References
[R27] | (1, 2, 3) Nucci et al., The problem of synthetically generating IP traffic matrices: initial recommendations, ACM SIGCOMM Computer Communication Review, 35(3), 2005 |