TY - GEN

T1 - On the self-similarity property of the output process from a network server with self-similar input traffic

AU - Song, S.

AU - NG, Joseph K Y

AU - Tang, Bihai

N1 - Publisher Copyright:
© 1999 IEEE.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.

PY - 1999

Y1 - 1999

N2 - Real-Time communication requires a performance guarantee from the underlying network. In order to analyse the network performance, we must find the traffic characterization in every server of the network. Due to the strong experimental evidence that network traffic is self-similar in nature, it is important to study the problem to see whether the service of a server changes the self-similarity property of the input traffic. We establish a model of a single server with an infinite buffer and prove that if the queue length has finite second-order moment then the input process being strong asymptotically second-order self-similar (sas-s) is equivalent to the output process also bearing the sas-s property. Given the method for determinating the worst case cell delay for an ATM switch with self-similar input traffic, with this proof we can determine the end-To-end delay for much real-Time communications in an ATM network by summing the cell delay experienced by each of the ATM switches in the connection.

AB - Real-Time communication requires a performance guarantee from the underlying network. In order to analyse the network performance, we must find the traffic characterization in every server of the network. Due to the strong experimental evidence that network traffic is self-similar in nature, it is important to study the problem to see whether the service of a server changes the self-similarity property of the input traffic. We establish a model of a single server with an infinite buffer and prove that if the queue length has finite second-order moment then the input process being strong asymptotically second-order self-similar (sas-s) is equivalent to the output process also bearing the sas-s property. Given the method for determinating the worst case cell delay for an ATM switch with self-similar input traffic, with this proof we can determine the end-To-end delay for much real-Time communications in an ATM network by summing the cell delay experienced by each of the ATM switches in the connection.

UR - http://www.scopus.com/inward/record.url?scp=39349094682&partnerID=8YFLogxK

U2 - 10.1109/RTCSA.1999.811202

DO - 10.1109/RTCSA.1999.811202

M3 - Conference contribution

AN - SCOPUS:39349094682

T3 - Proceedings - 6th International Conference on Real-Time Computing Systems and Applications, RTCSA 1999

SP - 128

EP - 132

BT - Proceedings - 6th International Conference on Real-Time Computing Systems and Applications, RTCSA 1999

PB - IEEE

T2 - 6th International Conference on Real-Time Computing Systems and Applications, RTCSA 1999

Y2 - 13 December 1999 through 15 December 1999

ER -