@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.}
}