Matching marginal moments and lag autocorrelations with MAPs

Gabor Horvath

7th International Conference on Performance Evaluation Methodologies and Tools

Research Article

Matching marginal moments and lag autocorrelations with MAPs

Cite: BibTeX Plain Text

@INPROCEEDINGS{10.4108/icst.valuetools.2013.254368,
    author={Gabor Horvath},
    title={Matching marginal moments and lag autocorrelations with MAPs},
    proceedings={7th International Conference on Performance Evaluation Methodologies and Tools},
    publisher={ICST},
    proceedings_a={VALUETOOLS},
    year={2014},
    month={1},
    keywords={traffic modeling map fitting moment matching autocorrelation matching},
    doi={10.4108/icst.valuetools.2013.254368}
}

Gabor Horvath
Year: 2014
Matching marginal moments and lag autocorrelations with MAPs
VALUETOOLS
ACM
DOI: 10.4108/icst.valuetools.2013.254368

Gabor Horvath¹^,*

1: Budapest University of Technology and Economics

*Contact email: ghorvath@hit.bme.hu

Abstract

This paper presents a procedure that constructs a Markovian Arrival Process (MAP) based on the mean, the squared coefficient of variation and the lag-1 autocorrelation of the inter-arrival times. This method always provides a valid MAP without posing any restrictions on the three input parameters. Besides matching these three parameters, it is possible to match the third moment of the inter-arrival times and the decay of the autocorrelation function as well, if they fall into the given (very wide) bounds.

Keywords: traffic modeling map fitting moment matching autocorrelation matching

Published: 2014-01-09
Publisher: ICST

: http://dx.doi.org/10.4108/icst.valuetools.2013.254368