TY - JOUR U1 - Wissenschaftlicher Artikel A1 - Cavaliere, Francesco A1 - Bendotti, Emilio A1 - Fischetti, Matteo T1 - An integrated local-search/set-partitioning refinement heuristic for the Capacitated Vehicle Routing Problem JF - Mathematical Programming Computation N2 - In this paper, an effective heuristic algorithm for large-scale instances of the Capacitated Vehicle Routing Problem is proposed. The technique consists in a local search method entangled with a restricted Set Partitioning problem optimization. Helsgaun’s LKH-3 algorithm has been used for the local search phase, with a number of implementation improvements. The restricted Set Partitioning formulation is solved by means of an exact commercial Integer Liner Programming solver. The resulting algorithm is able to consistently improve the solutions obtained by a state-of-the-art heuristic from the literature, as well as some of the best-know solutions maintained by the CVRPLIB website. AB - In this paper, an effective heuristic algorithm for large-scale instances of the Capacitated Vehicle Routing Problem is proposed. The technique consists in a local search method entangled with a restricted Set Partitioning problem optimization. Helsgaun’s LKH-3 algorithm has been used for the local search phase, with a number of implementation improvements. The restricted Set Partitioning formulation is solved by means of an exact commercial Integer Liner Programming solver. The resulting algorithm is able to consistently improve the solutions obtained by a state-of-the-art heuristic from the literature, as well as some of the best-know solutions maintained by the CVRPLIB website. Y1 - 2022 SN - 1867-2949 SS - 1867-2949 U6 - https://doi.org/10.1007/s12532-022-00224-2 DO - https://doi.org/10.1007/s12532-022-00224-2 VL - 14 IS - 4 SP - 749 EP - 779 S1 - 31 PB - Springer Science and Business Media LLC ER -