Lower and upper bounds for the two-echelon capacitated location-routing problem

Claudio Contardo, Vera Hemmelmayr, Teodor Gabriel Crainic

Publication: Scientific journalJournal articleResearchpeer-review

110 Citations (Scopus)


In this paper, we introduce two algorithms to address the two-echelon capacitated location-routing problem (2E-CLRP). We introduce a branch-and-cut algorithm based on the solution of a new two-index vehicle-flow formulation, which is strengthened with several families of valid inequalities. We also propose an adaptive large-neighbourhood search (ALNS) meta-heuristic with the objective of finding good-quality solutions quickly. The computational results on a large set of instances from the literature show that the ALNS outperforms existing heuristics. Furthermore, the branch-and-cut method provides tight lower bounds and is able to solve small- and medium-size instances to optimality within reasonable computing times.
Original languageEnglish
Pages (from-to)3185 - 3199
JournalComputers and Operations Research
Publication statusPublished - 2012

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