Kmf. Elsayed et Hg. Perros, The superposition of discrete-time Markov renewal processes with an application to statistical multiplexing of bursty traffic sources, APPL MATH C, 115(1), 2000, pp. 43-62
The main contribution in this paper is the introduction of a methodology fo
r approximately characterizing the superposition process of N greater than
or equal to 2 arbitrary land possibly heterogeneous) discrete-time Markov R
enewal processes (MRP). In this model, the superposition process is charact
erized by a MRP with a state space that grows exponentially with N. We cons
ider atl on/off traffic source model, where the distribution of the on and
on periods is arbitrary, as a special case of the general MRP. Subsequently
, a queueing model for a FIFO finite-buffer multiplexer with arbitrary on/o
ff input sources is analyzed. We provide numerical results for testing the
algorithms introduced in the paper. We also study the effect of some of the
statistical properties of on/off input sources on the multiplexer's perfor
mance. (C) 2000 Elsevier Science Inc. All rights reserved.