Modern fixed telecommunication networks are based on fiber-optic technology. In the context of access networks, planners speak of FTTx (fiber-to-the-x) networks, where x indicates the device/location/customer to which the fibers are laid out. The planning of an FTTx network is a highly complex task for which mathematical optimization offers powerful modeling and solution tools. Existing models in this area often lack a satisfactory treatment of several important issues arising in practice. Many of these can be appropriately addressed by employing multi-objective optimization.

Based on existing models for FTTx network planning, we develop suitable multi-objective optimization models for the network design problems arising in this context. Finding “efficient” solutions of multi-objective optimization problems is, however, much more difficult than the treatment of the single-objective case. Hence, we also design appropriate methods for the proposed models that allow to solve realistic scenarios to “multi-objective optimality”. For this we devise exact methods and at the same time develop heuristics that approximate the Pareto set and provide, if possible, quality guarantees.

Publications

2015
A Two-Phase Method for the Biobjective k-Architecture Connected Facility Location Problem and Hypervolume Computation ZIB-Report 15-08 Svenja Uslu, Axel Werner PDF
BibTeX
URN
Multicriteria Optimization of FTTx Networks
Two algorithms for solving 3-objective k-ArchConFL and IPs in general ZIB-Report 15-48 Markus Leitner, Ivana Ljubic, Markus Sinnl, Axel Werner PDF
BibTeX
URN
Multicriteria Optimization of FTTx Networks
2013
On the Two-Architecture Connected Facility Location Problem Electronic Notes in Discrete Mathematics, Vol.41, pp. 359-366, 2013 (preprint available as ) Markus Leitner, Ivana Ljubić, Markus Sinnl, Axel Werner BibTeX
DOI
Multicriteria Optimization of FTTx Networks
Towards optimizing the deployment of optical access networks EURO Journal on Computational Optimization, Vol.2, pp. 17-53, 2013 (preprint available as ) Martin Grötschel, Christian Raack, Axel Werner BibTeX
DOI
Multicriteria Optimization of FTTx Networks