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

Volume

1

fYear

2003

Firstpage

177

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;

fLanguage

English

Publisher

ieee

Conference_Titel

INFOCOM 2003. Twenty-Second Annual Joint Conference of the IEEE Computer and Communications. IEEE Societies

ISSN

0743-166X

Print_ISBN

0-7803-7752-4

Type

conf

DOI

10.1109/INFCOM.2003.1208670

Filename

1208670