Title :
The waiting time distribution for a TDMA model with a finite buffer
Author :
Neuts, Marcel F. ; Guo, Jun ; Zukerman, Moshe ; Le Vu, Hai
Author_Institution :
Dept. of Syst. & Ind. Eng., Arizona Univ., Tucson, AZ, USA
Abstract :
Detailed analytic formulas for the density and probability distribution of the waiting time in a TDMA model with a finite buffer is obtained. On successive intervals of length equal to the duration of a slot, the density is expressed as (infinite) linear combinations 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.
Keywords :
buffer storage; delay estimation; matrix algebra; probability; time division multiple access; TDMA model; beta densities; coefficient sequences; finite buffer; length intervals; linear combinations; matrix-analytic derivation; positive coefficients; probability distribution; recursive scheme; time division multiple access; waiting time; Computational modeling; Delay effects; Density functional theory; GSM; Industrial electronics; Probability distribution; Queueing analysis; Telecommunication computing; Time division multiple access;
Conference_Titel :
INFOCOM 2003. Twenty-Second Annual Joint Conference of the IEEE Computer and Communications. IEEE Societies
Print_ISBN :
0-7803-7752-4
DOI :
10.1109/INFCOM.2003.1208670
