Title :
Modelling the output process of an ATM multiplexer with Markov modulated arrivals
Author :
Fonseca, Nelson L S ; Silvester, John A.
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
In ATM networks supporting B-ISDN, the traffic is highly correlated and neglecting its correlation leads to dramatic underestimation of the end-to-end delay and end-to-end loss probability. Being able to accurately estimate end-to-end performance is of paramount importance for traffic control. The purpose of this paper is to introduce a procedure for modelling the output process of a finite buffer discrete-time queue loaded with a Markovian arrival process (D-BMAP/D/1/K). The procedure matches the output process long-term index of dispersion for counts and correlation of the number of arrivals in consecutive slots with the same statistics of a two-state Markov modulated Bernoulli process. We also introduce a framework for the analysis of queueing networks with Markov modulated type of flow
Keywords :
B-ISDN; Markov processes; asynchronous transfer mode; modulation; multiplexing equipment; queueing theory; telecommunication control; telecommunication traffic; ATM multiplexer; ATM networks; B-ISDN; Markov modulated arrivals; Markovian arrival process; correlation; end-to-end delay; end-to-end loss probability; end-to-end performance; finite buffer discrete-time queue loaded; long-term dispersion index; output process modelling; queueing networks; statistics; traffic control; two-state Markov modulated Bernoulli process; Asynchronous transfer mode; B-ISDN; Dispersion; Impedance matching; Multiplexing; Queueing analysis; Speech analysis; Statistics; Telecommunication traffic; Traffic control;
Conference_Titel :
Communications, 1994. ICC '94, SUPERCOMM/ICC '94, Conference Record, 'Serving Humanity Through Communications.' IEEE International Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-1825-0
DOI :
10.1109/ICC.1994.368825
