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A heuristic approach for big bucket multi-level production planning problems


  • AkartunalI, Kerem
  • Miller, Andrew J.


Multi-level production planning problems in which multiple items compete for the same resources frequently occur in practice, yet remain daunting in their difficulty to solve. In this paper, we propose a heuristic framework that can generate high quality feasible solutions quickly for various kinds of lot-sizing problems. In addition, unlike many other heuristics, it generates high quality lower bounds using strong formulations, and its simple scheme allows it to be easily implemented in the Xpress-Mosel modeling language. Extensive computational results from widely used test sets that include a variety of problems demonstrate the efficiency of the heuristic, particularly for challenging problems.

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  • AkartunalI, Kerem & Miller, Andrew J., 2009. "A heuristic approach for big bucket multi-level production planning problems," European Journal of Operational Research, Elsevier, vol. 193(2), pages 396-411, March.
  • Handle: RePEc:eee:ejores:v:193:y:2009:i:2:p:396-411

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    References listed on IDEAS

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    Cited by:

    1. Wu, Tao & Shi, Leyuan & Geunes, Joseph & AkartunalI, Kerem, 2011. "An optimization framework for solving capacitated multi-level lot-sizing problems with backlogging," European Journal of Operational Research, Elsevier, vol. 214(2), pages 428-441, October.
    2. Almeder, Christian, 2010. "A hybrid optimization approach for multi-level capacitated lot-sizing problems," European Journal of Operational Research, Elsevier, vol. 200(2), pages 599-606, January.
    3. Marcos Mansano Furlan & Maristela Oliveira Santos, 2017. "BFO: a hybrid bees algorithm for the multi-level capacitated lot-sizing problem," Journal of Intelligent Manufacturing, Springer, vol. 28(4), pages 929-944, April.
    4. Liang, Zhe & He, Yan & Wu, Tao & Zhang, Canrong, 2015. "An informative column generation and decomposition method for a production planning and facility location problem," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 88-96.
    5. Adacher, Ludovica & Cassandras, Christos G., 2014. "Lot size optimization in manufacturing systems: The surrogate method," International Journal of Production Economics, Elsevier, vol. 155(C), pages 418-426.
    6. Schepler, Xavier & Balev, Stefan & Michel, Sophie & Sanlaville, Éric, 2017. "Global planning in a multi-terminal and multi-modal maritime container port," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 100(C), pages 38-62.
    7. Lang, Jan Christian & Shen, Zuo-Jun Max, 2011. "Fix-and-optimize heuristics for capacitated lot-sizing with sequence-dependent setups and substitutions," European Journal of Operational Research, Elsevier, vol. 214(3), pages 595-605, November.
    8. Zhang, Guoquan & Shang, Jennifer & Li, Wenli, 2011. "Collaborative production planning of supply chain under price and demand uncertainty," European Journal of Operational Research, Elsevier, vol. 215(3), pages 590-603, December.


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