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- The waiting time distribution for a TDMA model with a finite buffer and state-dependent service
- Neuts, Marcel F.; Guo, Jun; Zukerman, Moshe; Vu, Hai Le
- 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=λW. We also demonstrate that our methodology provides a concise treatment of various special cases that have been studied over the past half century.
- Publication type
- Journal article
- IEEE Transactions on Communications, Vol. 53, no. 9 (Sep 2005), p. 1522-1533
- Publication year
- Algorithms; Finite buffer; Markov processes; Mathematical models; Matrix algebra; Probability distributions; Quality of service; Queueing model; State-dependent service; TDMA; Time division multiple access; Waiting time distribution
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