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Branch-and-price algorithm for the location-routing problem with time windows

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  • Ponboon, Sattrawut
  • Qureshi, Ali Gul
  • Taniguchi, Eiichi

Abstract

This study proposes a branch-and-price algorithm to solve the Location-Routing Problem with Time Windows (LRPTW) which has never been attempted with the exact solutions before. The problem is solved by the simplex algorithm in the master problem and elementary shortest path problems with resource constraint corresponding to column generation in the subproblem until only the non-negative reduced cost columns remain. The proposed algorithm can solve many testing instances effectively. The computational results and the effect of time windows are also compared and discussed.

Suggested Citation

  • Ponboon, Sattrawut & Qureshi, Ali Gul & Taniguchi, Eiichi, 2016. "Branch-and-price algorithm for the location-routing problem with time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 86(C), pages 1-19.
    • Handle: RePEc:eee:transe:v:86:y:2016:i:c:p:1-19
    DOI: 10.1016/j.tre.2015.12.003
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    5. Song, Yujian & Zhang, Jiantong & Liang, Zhe & Ye, Chunming, 2017. "An exact algorithm for the container drayage problem under a separation mode," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 231-254.
    6. Arslan, Okan, 2021. "The location-or-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 147(C), pages 1-21.
    7. Ling Shen & Fengming Tao & Yuhe Shi & Ruiru Qin, 2019. "Optimization of Location-Routing Problem in Emergency Logistics Considering Carbon Emissions," IJERPH, MDPI, vol. 16(16), pages 1-18, August.
    8. Zhu, Stuart X. & Ursavas, Evrim, 2018. "Design and analysis of a satellite network with direct delivery in the pharmaceutical industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 116(C), pages 190-207.
    9. Feifeng Zheng & Zhiyu Sun & Ming Liu, 2021. "Location-Routing Optimization with Renting Social Vehicles in a Two-Stage E-Waste Recycling Network," Sustainability, MDPI, vol. 13(21), pages 1-18, October.
    10. Afsar, Hasan Murat & Afsar, Sezin & Palacios, Juan José, 2021. "Vehicle routing problem with zone-based pricing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).

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