extended formulation

A Robust Branch-Cut-and-Price Algorithm for the Heterogeneous Fleet Vehicle Routing Problem

  • Artur Alves Pessoa
  • Marcus Poggi de Aragão
  • Eduardo Uchoa
    • Categories Combinatorial Optimization, Linear, Cone and Semidefinite Programming, Transportation Tags , ,

    This paper presents a robust branch-cut-and-price algorithm for the Heterogeneous Fleet Vehicle Routing Problem (HFVRP), vehicles may have various capacities and fixed costs. The columns in the formulation are associated to $q$-routes, a relaxation of capacitated elementary routes that makes the pricing problem solvable in pseudo-polynomial time. Powerful new families of cuts are also proposed, … Read more

    Robust Branch-Cut-and-Price for the Capacitated Minimum Spanning Tree Problem over a Large Extended Formulation

  • Diogo V. Andrade
  • Ricardo Fukasawa
  • Artur Alves Pessoa
  • Marcus Poggi de Aragão
  • Eduardo Uchoa
  • Jens Lysgaard
    • Categories Cutting Plane Approaches Tags , ,

    This paper presents a robust branch-cut-and-price algorithm for the Capacitated Minimum Spanning Tree Problem (CMST). The variables are associated to $q$-arbs, a structure that arises from a relaxation of the capacitated prize-collecting arborescence probem in order to make it solvable in pseudo-polynomial time. Traditional inequalities over the arc formulation, like Capacity Cuts, are also used. … Read more