Traffic characteristics and queueing behavior of discrete-time on-off sources

Abstract

In this paper, some results are presented from an attempt to study -in a discrete-time setting -the phenomenon of long-range dependence. For a well-known source model, traffic characteristics such as the power spectral density and the index of dispersion for counts are analyzed. Based on these characteristics, the distinction between short-range and long-range dependence is touched upon. The traffic generated by a superposition of sources is also studied, whereby the case of an infinite number of sources gets special attention. In this, the discrete-time version of the M/G/oo queue model is called upon. Finally, some results pertaining to the queueing behavior of such traffic are discussed.

Asymptotic behavior of a discrete-time queue with long range dependent input

“…INTRODUCTION ber of customers in a train has a heavy tail, in order to ensure the LRD property. Back-to-back customers mean that the customers In the past five years, traffic measurement studies on real packet ofa sequence mive in consecutive time mis M / G /~ protime and its input process belonBng to a Of the members Of this networks, Ethernet LAN traffic (see [11)7 cess naturally arises when considering an infinite superposition able Bit Rate video Over the Asynchronous Transfer Mode (see ofidentical on/offsources [3], [4], [5]. Furthermore, the M/(-Jw e.g.…”