The Prominence of Stabilization Techniques in Column Generation: the case of Freight Transportation

Abstract : Routing and logistics applications are often viewed as intractable for exact optimization tools. Al- though such problems are naturally suited for a decomposition approach, branch-and-price-and-cut algorithms of the literature typically do not scale to the size of real-life instances. Some recent progress in stabilization techniques amongst other advances (such as diving heuristics, strong branching, and the combination with cutting plane approaches) generate new ambitions for column generation ap- proach in solving approximately very large scale instances. Let us for instance point to the new benchmarks for the Capacitated Vehicle Routing Problem (CVRP) in [2]. This paper illustrates this trend, showing exact results for freight transportation instances of a scale never considered before. Our column generation algorithm yields dual bounds and serves as the core procedure for a primal heuristic. The overal procedure is quite competitive in great part due to the convergence speed-ups resulting from efficient stabilization schemes. It typically provides optimal solutions as primal and dual bounds tend to be equal. The very large scale freight transportation instances (with up to 1,025 stations, 5,300 demands, and 12,651 rail cars) were submitted to us by our Russian partner Freight-One.
Type de document :
Communication dans un congrès
6th International Workshop on Freight Transportation and Logistics Odysseus'2015, Jun 2015, Ajaccio, France. 2015, Proceedings of the 6th International Workshop on Freight Transportation and Logistics Odysseus'2015
Liste complète des métadonnées

Littérature citée [4 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-01248323
Contributeur : Ruslan Sadykov <>
Soumis le : jeudi 24 décembre 2015 - 18:21:13
Dernière modification le : jeudi 11 janvier 2018 - 06:22:12

Fichier

Sadykov_etall_Odysseus15.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01248323, version 1

Collections

Citation

R Sadykov, Alexander A. Lazarev, A Pessoa, E Uchoa, F Vanderbeck. The Prominence of Stabilization Techniques in Column Generation: the case of Freight Transportation. 6th International Workshop on Freight Transportation and Logistics Odysseus'2015, Jun 2015, Ajaccio, France. 2015, Proceedings of the 6th International Workshop on Freight Transportation and Logistics Odysseus'2015. 〈hal-01248323〉

Partager

Métriques

Consultations de la notice

185

Téléchargements de fichiers

91