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A linear model for surface mining haul truck allocation incorporating shovel idle probabilities

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  • Ta, Chung H.
  • Ingolfsson, Armann
  • Doucette, John

Abstract

We present models of trucks and shovels in oil sand surface mines. The models are formulated to minimize the number of trucks for a given set of shovels, subject to throughput and ore grade constraints. We quantify and validate the nonlinear relation between a shovel’s idle probability (which determines the shovel’s productivity) and the number of trucks assigned to the shovel via a simple approximation, based on the theory of finite source queues. We use linearization to incorporate this expression into linear integer programs. We assume in our integer programs that each shovel is assigned a single truck size but we outline how one could account for multiple truck sizes per shovel in an approximate fashion. The linearization of shovel idle probabilities allows us to formulate more accurate truck allocation models that are easily solvable for realistic-sized problems.

Suggested Citation

  • Ta, Chung H. & Ingolfsson, Armann & Doucette, John, 2013. "A linear model for surface mining haul truck allocation incorporating shovel idle probabilities," European Journal of Operational Research, Elsevier, vol. 231(3), pages 770-778.
    • Handle: RePEc:eee:ejores:v:231:y:2013:i:3:p:770-778
    DOI: 10.1016/j.ejor.2013.06.016
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    References listed on IDEAS

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    Cited by:

    1. S.R. Patterson & E. Kozan & P. Hyland, 2016. "An integrated model of an open-pit coal mine: improving energy efficiency decisions," International Journal of Production Research, Taylor & Francis Journals, vol. 54(14), pages 4213-4227, July.
    2. Patterson, S.R. & Kozan, E. & Hyland, P., 2017. "Energy efficient scheduling of open-pit coal mine trucks," European Journal of Operational Research, Elsevier, vol. 262(2), pages 759-770.
    3. Aleksandr Rakhmangulov & Konstantin Burmistrov & Nikita Osintsev, 2024. "Multi-Criteria System’s Design Methodology for Selecting Open Pits Dump Trucks," Sustainability, MDPI, vol. 16(2), pages 1-34, January.
    4. Moradi Afrapoli, Ali & Tabesh, Mohammad & Askari-Nasab, Hooman, 2019. "A multiple objective transportation problem approach to dynamic truck dispatching in surface mines," European Journal of Operational Research, Elsevier, vol. 276(1), pages 331-342.
    5. Yuhao Zhang & Ziyu Zhao & Lin Bi & Liming Wang & Qing Gu, 2022. "Determination of Truck–Shovel Configuration of Open-Pit Mine: A Simulation Method Based on Mathematical Model," Sustainability, MDPI, vol. 14(19), pages 1-22, September.
    6. Chaowasakoo, Patarawan & Seppälä, Heikki & Koivo, Heikki & Zhou, Quan, 2017. "Improving fleet management in mines: The benefit of heterogeneous match factor," European Journal of Operational Research, Elsevier, vol. 261(3), pages 1052-1065.

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