 |
HAL-LIRMM - Open Archive |  |
Journal articles
Minimizing Blocking Probability for the Multicast Routing and Wavelength Assignment Problem in WDM Networks: Exact Solutions and Heuristic Algorithms
Abstract : Given a sparse splitting wavelength division multiplexing (WDM) network and a set of available wavelengths, we investigate the problem of provisioning a set of multicast requests simultaneously with the objective of minimizing the blocking probability. Two blocking models are taken into account: full blocking probability and partial blocking probability. As the problem is NP-hard, we propose an integer linear programming (ILP) formulation with two variants (each for a blocking model) to search for the optimal solution and several efficient adaptive heuristic algorithms to compute approximated solutions. In particular, instead of using light-trees, both ILP and heuristics use light-hierarchy, a recently proposed optimal route under sparse splitting configurations. Extensive simulations reveal that our adaptive algorithms are able to compute near-optimal solutions, and they outperform static approaches under both blocking probability models. The results also show that it is more advantageous to provision multiple multicast communications with light-hierarchies, since they are able to accommodate more requests and destinations compared to the light-tree solutions.
https://hal-lirmm.ccsd.cnrs.fr/lirmm-01349065
Contributor : Isabelle Gouat Connect in order to contact the contributor
Submitted on : Friday, April 16, 2021 - 2:38:42 PM
Last modification on : Friday, October 22, 2021 - 3:07:30 PM
Long-term archiving on: : Saturday, July 17, 2021 - 6:46:43 PM
Contributor : Isabelle Gouat Connect in order to contact the contributor
Submitted on : Friday, April 16, 2021 - 2:38:42 PM
Last modification on : Friday, October 22, 2021 - 3:07:30 PM
Long-term archiving on: : Saturday, July 17, 2021 - 6:46:43 PM
File
JOCN_01349065.pdf
Files produced by the author(s)