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An exact mathematical formulation for the optimal log transportation

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  • Bordón, Maximiliano R.
  • Montagna, Jorge M.
  • Corsano, Gabriela

Abstract

In this work, a Mixed-Integer Linear Programming (MILP) model for daily routing of trucks in forest industry is presented. The aim is to generate truck routes at minimum cost, while logs supply is guaranteed. Models usually found in the literature assume that the trips that must be made are known in advance or are generated in a previous stage. Unlike those approaches, in this work the configuration of each trip is generated along with the routing decisions. An exact formulation is developed; neither decomposition algorithm nor heuristics are used. The proposed model is evaluated on several cases, showing in all of them that the proposed approach efficiently solves the addressed problem in a short computational time.

Suggested Citation

  • Bordón, Maximiliano R. & Montagna, Jorge M. & Corsano, Gabriela, 2018. "An exact mathematical formulation for the optimal log transportation," Forest Policy and Economics, Elsevier, vol. 95(C), pages 115-122.
    • Handle: RePEc:eee:forpol:v:95:y:2018:i:c:p:115-122
    DOI: 10.1016/j.forpol.2018.07.017
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    References listed on IDEAS

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    1. Gilbert Laporte, 2009. "Fifty Years of Vehicle Routing," Transportation Science, INFORMS, vol. 43(4), pages 408-416, November.
    2. Nizar El Hachemi & Michel Gendreau & Louis-Martin Rousseau, 2011. "A hybrid constraint programming approach to the log-truck scheduling problem," Annals of Operations Research, Springer, vol. 184(1), pages 163-178, April.
    3. Troncoso, Juan J. & Garrido, Rodrigo A., 2005. "Forestry production and logistics planning: an analysis using mixed-integer programming," Forest Policy and Economics, Elsevier, vol. 7(4), pages 625-633, May.
    4. Carlsson, Dick & Ronnqvist, Mikael, 2005. "Supply chain management in forestry--case studies at Sodra Cell AB," European Journal of Operational Research, Elsevier, vol. 163(3), pages 589-616, June.
    5. Mikael Rönnqvist & Sophie D’Amours & Andres Weintraub & Alejandro Jofre & Eldon Gunn & Robert Haight & David Martell & Alan Murray & Carlos Romero, 2015. "Operations Research challenges in forestry: 33 open problems," Annals of Operations Research, Springer, vol. 232(1), pages 11-40, September.
    6. Olsson, Leif & Lohmander, Peter, 2005. "Optimal forest transportation with respect to road investments," Forest Policy and Economics, Elsevier, vol. 7(3), pages 369-379, March.
    7. Olsson, Leif, 2005. "Road investment scenarios in Northern Sweden," Forest Policy and Economics, Elsevier, vol. 7(4), pages 615-623, May.
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    Cited by:

    1. Venn, Tyron J. & Dorries, Jack W. & McGavin, Robert L., 2021. "A mathematical model to support investment in veneer and LVL manufacturing in subtropical eastern Australia," Forest Policy and Economics, Elsevier, vol. 128(C).
    2. Maximiliano R. Bordón & Jorge M. Montagna & Gabriela Corsano, 2023. "Operational transportation planning in the forest industry integrating bucking decisions," Annals of Operations Research, Springer, vol. 322(1), pages 385-411, March.
    3. Luo, Li & O'Hehir, Jim & Regan, Courtney M. & Meng, Li & Connor, Jeffery D. & Chow, Christopher W.K., 2021. "An integrated strategic and tactical optimization model for forest supply chain planning," Forest Policy and Economics, Elsevier, vol. 131(C).
    4. Vitale, Ignacio & Broz, Diego & Dondo, Rodolfo, 2021. "Optimizing log transportation in the Argentinean forest industry by column generation," Forest Policy and Economics, Elsevier, vol. 128(C).
    5. Melchiori, Luciana & Nasini, Graciela & Montagna, Jorge M. & Corsano, Gabriela, 2022. "A mathematical modeling for simultaneous routing and scheduling of logging trucks in the forest supply chain," Forest Policy and Economics, Elsevier, vol. 136(C).

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