-

 

 

 




Optimization Online





 

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

Artur Pessoa (artur***at***producao.uff.br)
Marcus Poggi de Arag„o (poggi***at***inf.puc-rio.br)
Eduardo Uchoa (uchoa***at***producao.uff.br)

Abstract: 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, which are expressed over a very large set of variables. Those cuts do not increase the complexity of the pricing subproblem. Experiments are reported where instances up to 75 vertices were solved to optimality, a major improvement with respect to previous algorithms.

Keywords: vehicle routing, extended formulations, cutting planes

Category 1: Combinatorial Optimization

Category 2: Applications -- OR and Management Sciences (Transportation )

Category 3: Linear, Cone and Semidefinite Programming

Citation: To appear in WEA07 - LNCS, 2007

Download:

Entry Submitted: 04/21/2007
Entry Accepted: 04/22/2007
Entry Last Modified: 06/13/2008

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Programming Society