Subset-Row Inequalities Applied to the Vehicle-Routing Problem with Time Windows

@article{Jepsen2008SubsetRowIA,
  title={Subset-Row Inequalities Applied to the Vehicle-Routing Problem with Time Windows},
  author={Mads Jepsen and Bj\orn Petersen and Simon Spoorendonk and David Pisinger},
  journal={Operations Research},
  year={2008},
  volume={56},
  pages={497-511}
}
This paper presents a branch-and-cut-and-price algorithm for the vehicle-routing problem with time windows. The standard Dantzig-Wolfe decomposition of the arc flow formulation leads to a set-partitioning problem as the master problem and an elementary shortest-path problem with resource constraints as the pricing problem. We introduce the subset-row inequalities, which are Chvatal-Gomory rank-1 cuts based on a subset of the constraints in the master problem. Applying a subsetrow inequality in… CONTINUE READING
Highly Influential
This paper has highly influenced 18 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 83 extracted citations

Machine Scheduling for Multi-product Disassembly

OR • 2016
View 20 Excerpts
Highly Influenced

References

Publications referenced by this paper.
Showing 1-10 of 36 references

COIN—COmputational INfrastructure for Operations Research

COIN.
www.coin-or.org. • 2005
View 3 Excerpts
Highly Influenced

Resource extension functions: Properties, inversion, and generalization to segments

S. Irnich
Technical Report 2006-01, Deutsche Post Endowed Chair of Optimization of Distribution Networks, RWTH Aachen University, Aachen, Germany. www.dpor.rwth-aachen.de. • 2006
View 4 Excerpts
Highly Influenced

CVRPSEP: A package of separation routines for the capacitated vehicle routing problem

J. Lysgaard
www.asb.dk/∼lys. • 2003
View 3 Excerpts
Highly Influenced

Edmonds polytopes and a hierarchy of combinatorial problems

Discrete Mathematics • 1973
View 3 Excerpts
Highly Influenced

Mixed Integer Programming

Wiley Encyclopedia of Computer Science and Engineering • 2008
View 1 Excerpt

Similar Papers

Loading similar papers…