Abstract
A classical method, first suggested by Balinski and Quandt (1964), for solving the VRP with capacity and time-window constraints, is based on formulating the problem as a set-partitioning problem.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Balinski, M. L., & Quandt, R. E. (1964). On an integer program for a delivery problem. Operation Research, 12, 300–304.
Bramel, J., & Simchi-Levi, D. (1997). On the effectiveness of set covering formulations for the vehicle routing problem. Operation Research, 45, 295–301.
Christofides, N., Mingozzi, A., & Toth, P. (1981). Exact algorithms for the vehicle routing problem based on spanning tree and shortest path relaxations. Mathematical Programming, 20, 255–282.
Cullen, F., Jarvis, J., & Ratliff, D. (1981). Set partitioning based heuristics for interactive routing. Networks, 11, 125–144.
Desrochers, M., Desrosiers, J., & Solomon, M. (1992). A new optimization algorithm for the vehicle routing problem with time windows. Operation Research, 40, 342–354.
Hoffman, K. L., & Padberg, M. (1993). Solving airline crew scheduling problems by branch-and-cut. Management Science, 39, 657–682.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media New York
About this chapter
Cite this chapter
Simchi-Levi, D., Chen, X., Bramel, J. (2014). Solving the VRP Using a Column-Generation Approach. In: The Logic of Logistics. Springer Series in Operations Research and Financial Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9149-1_19
Download citation
DOI: https://doi.org/10.1007/978-1-4614-9149-1_19
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-9148-4
Online ISBN: 978-1-4614-9149-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)