Río de Janeiro, Río de Janeiro, Brasil
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Publicaciones

  • Strong Lower Bounds for the Capacitated Vehicle Routing Problem via Column and Cut Generation

    SBPO

    In the past decades, different exact approaches to solve the Capacitated Vehicle Routing
    Problem were presented in the literature. State-of-art algorithms combine several different techniques
    when searching for high quality lower bounds, which may turn the task a very difficult one
    to perform. This work presents a methodology which combines these techniques into a relatively
    simple framework and yet obtaining strong lower bounds, comparable to the best-known ones. The
    approach…

    In the past decades, different exact approaches to solve the Capacitated Vehicle Routing
    Problem were presented in the literature. State-of-art algorithms combine several different techniques
    when searching for high quality lower bounds, which may turn the task a very difficult one
    to perform. This work presents a methodology which combines these techniques into a relatively
    simple framework and yet obtaining strong lower bounds, comparable to the best-known ones. The
    approach uses the Set Partitioning formulation with columns associated to ng-routes. The linear
    relaxation is solved by column generation using Decremental State-Space Relaxation and Completion
    Bounds. To improve the bounds, Capacity Cuts and the recently presented Limited Memory
    Subset-Row Cuts are separated. Computational experiments for almost 70 classical instances are
    presented.

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