@article{Neuts2005waiting,
author = {M. F. Neuts and J. Guo and M. Zukerman and H. L. Vu},
title = {The waiting time distribution for a {TDMA} model with
a finite buffer and state-dependent service},
journal = {IEEE Transactions on Communications},
volume = {53},
number = {9},
pages = {1522-1533},
month = {Sep.},
year = {2005},
abstract = {We obtain detailed analytic formulas for the
density and probability distribution of the waiting time in a time-division
multiple-access (TDMA) model with a finite buffer and state-dependent service.
On successive intervals of length equal to the duration of a slot, the density
is expressed as a linear combination of beta densities with positive
coefficients. A recursive scheme, obtained by a matrix-analytic derivation,
allows for the highly efficient computations of the coefficient sequences. An
expression for the mean waiting time is derived using the classical queueing
formula L=¦ËW. We also demonstrate that our methodology provides a concise
treatment of various special cases that have been studied over the past half
century.}
}