A column generation approach for the location-routing problem with time windows

Date

2018-02-01

Author

Farham, Mohammad Saleh
Süral, Haldun
İyigün, Cem

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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The location-routing problem with time windows consists of opening a subset of depots, assigning customers to depots, and determining routes within allowable times such that the sum of depot opening, vehicle usage, and traveling costs is minimized. Customers have to be visited only once during their time windows and depot capacities and load limits of vehicles cannot be violated. In order to find the exact solution to the problem, we propose a branch-and-price algorithm based on set-partitioning approach. The pricing problem is solved using dynamic programming. We introduce several strategies to improve the lower and upper bounds as well as acceleration techniques to generate improving columns more rapidly. Computational results show the higher performance of the proposed method on a set of small and medium size instances in the literature and demonstrate its efficiency in solving generated large size instances.

Subject Keywords

Location-routing problem, Time windows, Column generation, Branch-and-price

URI

https://hdl.handle.net/11511/49267

Journal

COMPUTERS & OPERATIONS RESEARCH

DOI

https://doi.org/10.1016/j.cor.2017.09.010

Collections

Department of Industrial Engineering, Article

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Citation Formats

M. S. Farham, H. Süral, and C. İyigün, “A column generation approach for the location-routing problem with time windows,” COMPUTERS & OPERATIONS RESEARCH, pp. 249–263, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49267.