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A mathematical modeling for simultaneous routing and scheduling of logging trucks in the forest supply chain

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  • Melchiori, Luciana
  • Nasini, Graciela
  • Montagna, Jorge M.
  • Corsano, Gabriela

Abstract

Transportation cost in the forest industry highly impacts on the overall costs of the supply chain, and therefore it must be optimized for improving profitability. Considering the problem characteristics, the decisions related to the transport problem, such as allocation, routing, and scheduling, are usually decoupled, resorting to different decomposition strategies. As a result, suboptimal and underperforming solutions are obtained. In this article, decisions about raw material allocation, routing and scheduling are simultaneously solved through a mixed integer linear programming model. The proposed model involves an arc-based formulation for routing and a time grid discretization, including the definition of loading and unloading shifts for scheduling. This leads to detailed transportation planning for a homogeneous logging truck fleet that must fulfill the demand of varied raw material at minimum cost. Examples and performance tests are provided to assess the capabilities of the proposed exact approach.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:forpol:v:136:y:2022:i:c:s1389934122000053
    DOI: 10.1016/j.forpol.2022.102693
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    References listed on IDEAS

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    1. 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.
    2. Santos, Andreia & Carvalho, Ana & Barbosa-Póvoa, Ana Paula & Marques, Alexandra & Amorim, Pedro, 2019. "Assessment and optimization of sustainable forest wood supply chains – A systematic literature review," Forest Policy and Economics, Elsevier, vol. 105(C), pages 112-135.
    3. 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).
    4. 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.
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    Cited by:

    1. Matías Núñez-Muñoz & Rodrigo Linfati & John Willmer Escobar, 2023. "Two-stage optimization scheme of routing scheduling from a single distribution center to multiple customers," Operational Research, Springer, vol. 23(2), pages 1-29, June.
    2. Weilung Huang & Si Chen & Xiaomei Zhang & Xuemeng Zhao, 2022. "The Sustainable Development of Forest Food," Sustainability, MDPI, vol. 14(20), pages 1-17, October.

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