A fast hybrid primal heuristic for multiband robust capacitated network design with multiple time periods
- We investigate the Robust Multiperiod Network Design Problem, a generalization of the Capacitated Network Design Problem (CNDP) that, besides establishing flow routing and network capacity installation as in a canonical CNDP, also considers a planning horizon made up of multiple time periods and protection against fluctuations in traffic volumes. As a remedy against traffic volume uncertainty, we propose a Robust Optimization model based on Multiband Robustness (Büsing and D'Andreagiovanni, 2012), a refinement of classical Gamma-Robustness by Bertsimas and Sim (2004) that uses a system of multiple deviation bands. Since the resulting optimization problem may prove very challenging even for instances of moderate size solved by a state-of-the-art optimization solver, we propose a hybrid primal heuristic that combines a randomized fixing strategy inspired by ant colony optimization and an exact large neighbourhood search. Computational experiments on a set of realistic instances from the SNDlib (2010) show that our original heuristic can run fast and produce solutions of extremely high quality associated with low optimality gaps.
Author: | Fabio D'Andreagiovanni, Jonatan Krolikowski, Jonad Pulaj |
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Document Type: | Article |
Parent Title (English): | Applied Soft Computing |
Volume: | 26 |
First Page: | 497 |
Last Page: | 507 |
Year of first publication: | 2014 |
Preprint: | urn:nbn:de:0297-zib-52862 |
DOI: | https://doi.org/10.1016/j.asoc.2014.10.016 |