TY - GEN
T1 - A numerical approach of the analysis of optical container filling
AU - El Mahjoub, Youssef Ait
AU - Fourneau, Jean Michel
AU - Castel-Taleb, Hind
N1 - Publisher Copyright:
© 2019 Association for Computing Machinery.
PY - 2019/3/12
Y1 - 2019/3/12
N2 - We study the performance of the optical network architecture NGreen which is based on an optical slotted ring. The random part of the end to end delay comes from the times needed to build an optical container from arriving Data Units and the insertion of the optical container on the ring. Here, to study the first problem, we build a Discrete Time Markov Chain to model the filling of the optical container with Data Units. We take into account a deadline (to have a small latency) and a constraint on a minimal filling of the container (to be energy efficient). We obtain through a numerical analysis using an ad-hoc algorithm we proved, the distribution of the container filling and the distribution of the time needed to build a container. We also compare the algorithm speed with two well known algorithms to compute the steady-state distribution of Markov chains.
AB - We study the performance of the optical network architecture NGreen which is based on an optical slotted ring. The random part of the end to end delay comes from the times needed to build an optical container from arriving Data Units and the insertion of the optical container on the ring. Here, to study the first problem, we build a Discrete Time Markov Chain to model the filling of the optical container with Data Units. We take into account a deadline (to have a small latency) and a constraint on a minimal filling of the container (to be energy efficient). We obtain through a numerical analysis using an ad-hoc algorithm we proved, the distribution of the container filling and the distribution of the time needed to build a container. We also compare the algorithm speed with two well known algorithms to compute the steady-state distribution of Markov chains.
KW - Markov Chains
KW - Numerical Analysis
KW - Optical networks
UR - https://www.scopus.com/pages/publications/85062846450
U2 - 10.1145/3306309.3306333
DO - 10.1145/3306309.3306333
M3 - Conference contribution
AN - SCOPUS:85062846450
T3 - ACM International Conference Proceeding Series
SP - 159
EP - 162
BT - Proceedings of the 12th EAI International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2019
PB - Association for Computing Machinery
T2 - 12th EAI International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2019
Y2 - 13 March 2019 through 15 March 2019
ER -