Title :
On the implications of the off periods distribution in two-state traffic models
Author :
Garroppo, Rosario G. ; Giordano, Stefano ; Isopi, Marco ; Pagano, Michele
Author_Institution :
Pisa Univ., Italy
fDate :
7/1/1999 12:00:00 AM
Abstract :
The paper highlights the impact of the inactive period distribution of an on-off source on the autocorrelation structure of the model. In particular, two discrete-time on-off models, both with geometric distribution of the active period, are considered: the GeoGeo model (GGM) and the ParetoGeo model (PGM), characterized by a geometric and Pareto-like distribution of the off periods length, respectively. The two models are compared in terms of their main statistical features as well as the queueing impact. The asymptotic behavior of the autocorrelation function for the proposed PGM has been analytically evaluated. It is shown it has a hyperbolic decay related to the tail behavior of the off periods distribution.
Keywords :
Markov processes; Pareto distribution; binary sequences; correlation methods; queueing theory; telecommunication traffic; GeoGeo model; Pareto-like distribution; ParetoGeo model; asymptotic behavior; autocorrelation function; autocorrelation structure; binary sequence; discrete-time on-off models; geometric distribution; hyperbolic decay; inactive period distribution; off periods distribution; off periods length; on-off source; queueing impact; statistical features; tail behavior; two-state discrete-time Markov chain; two-state traffic models; Autocorrelation; Binary sequences; Ethernet networks; LAN interconnection; Length measurement; Local area networks; Probability distribution; Solid modeling; Traffic control;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/4234.775260
