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Capacitated lot sizing and scheduling with parallel machines and shared buffers: A case study in a packaging company

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  • Fabrizio Marinelli
  • Maria Nenni
  • Antonio Sforza

Abstract

The aim of this work is to propose a solution approach for a capacitated lot sizing and scheduling real problem with parallel machines and shared buffers, arising in a packaging company producing yoghurt. The problem has been formulated as a hybrid Continuous Set-up and Capacitated Lot Sizing Problem (CSLP–CLSP). A new effective two stage optimisation heuristic based on the decomposition of the problem into a lot sizing problem and a scheduling problem has been developed. An assignment of mixture to buffers is made in the first stage, and therefore the corresponding orders are scheduled on the production lines by performing a local search. Computational tests have been performed on the real data provided by the company. The heuristic exhibits near-optimal solutions, all obtained in a very short computational time. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • Fabrizio Marinelli & Maria Nenni & Antonio Sforza, 2007. "Capacitated lot sizing and scheduling with parallel machines and shared buffers: A case study in a packaging company," Annals of Operations Research, Springer, vol. 150(1), pages 177-192, March.
    • Handle: RePEc:spr:annopr:v:150:y:2007:i:1:p:177-192:10.1007/s10479-006-0157-x
    DOI: 10.1007/s10479-006-0157-x
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    Cited by:

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    2. Dražen Popović & Nenad Bjelić & Milorad Vidović & Branislava Ratković, 2023. "Solving a Production Lot-Sizing and Scheduling Problem from an Enhanced Inventory Management Perspective," Mathematics, MDPI, vol. 11(9), pages 1-23, April.
    3. Casey Chung & Milind Dawande & Divakar Rajamani & Chelliah Sriskandarajah, 2011. "A Short-Range Scheduling Model for Blockbuster's Order-Processing Operation," Interfaces, INFORMS, vol. 41(5), pages 466-484, October.
    4. Karina Copil & Martin Wörbelauer & Herbert Meyr & Horst Tempelmeier, 2017. "Simultaneous lotsizing and scheduling problems: a classification and review of models," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 1-64, January.
    5. Fiorotto, Diego Jacinto & Jans, Raf & Alexandre de Araujo, Silvio, 2018. "Process flexibility and the chaining principle in lot sizing problems," International Journal of Production Economics, Elsevier, vol. 204(C), pages 244-263.
    6. Alyne Toscano & Deisemara Ferreira & Reinaldo Morabito, 2019. "A decomposition heuristic to solve the two-stage lot sizing and scheduling problem with temporal cleaning," Flexible Services and Manufacturing Journal, Springer, vol. 31(1), pages 142-173, March.
    7. Mac Cawley, Alejandro & Maturana, Sergio & Pascual, Rodrigo & Tortorella, Guilherme Luz, 2022. "Scheduling wine bottling operations with multiple lines and sequence-dependent set-up times: Robust formulation and a decomposition solution approach," European Journal of Operational Research, Elsevier, vol. 303(2), pages 819-839.
    8. Rapine, Christophe & Penz, Bernard & Gicquel, Céline & Akbalik, Ayse, 2018. "Capacity acquisition for the single-item lot sizing problem under energy constraints," Omega, Elsevier, vol. 81(C), pages 112-122.
    9. Gislaine Mara Melega & Silvio Alexandre de Araujo & Reinaldo Morabito, 2020. "Mathematical model and solution approaches for integrated lot-sizing, scheduling and cutting stock problems," Annals of Operations Research, Springer, vol. 295(2), pages 695-736, December.
    10. Carvalho, Desiree M. & Nascimento, Mariá C.V., 2022. "Hybrid matheuristics to solve the integrated lot sizing and scheduling problem on parallel machines with sequence-dependent and non-triangular setup," European Journal of Operational Research, Elsevier, vol. 296(1), pages 158-173.
    11. Miloš Milenković & Susana Val & Nebojša Bojović, 2023. "Simultaneous lot sizing and scheduling in the animal feed premix industry," Operational Research, Springer, vol. 23(2), pages 1-40, June.
    12. Amorim, P. & Günther, H.-O. & Almada-Lobo, B., 2012. "Multi-objective integrated production and distribution planning of perishable products," International Journal of Production Economics, Elsevier, vol. 138(1), pages 89-101.
    13. Diego Fiorotto & Silvio Araujo, 2014. "Reformulation and a Lagrangian heuristic for lot sizing problem on parallel machines," Annals of Operations Research, Springer, vol. 217(1), pages 213-231, June.
    14. Wang, Haibo & Alidaee, Bahram, 2019. "Effective heuristic for large-scale unrelated parallel machines scheduling problems," Omega, Elsevier, vol. 83(C), pages 261-274.
    15. Ferreira, Deisemara & Clark, Alistair R. & Almada-Lobo, Bernardo & Morabito, Reinaldo, 2012. "Single-stage formulations for synchronised two-stage lot sizing and scheduling in soft drink production," International Journal of Production Economics, Elsevier, vol. 136(2), pages 255-265.
    16. Tao Wu & Zhe Liang & Canrong Zhang, 2018. "Analytics Branching and Selection for the Capacitated Multi-Item Lot Sizing Problem with Nonidentical Machines," INFORMS Journal on Computing, INFORMS, vol. 30(2), pages 236-258, May.
    17. Martínez, Karim Pérez & Morabito, Reinaldo & Toso, Eli Angela Vitor, 2018. "A coupled process configuration, lot-sizing and scheduling model for production planning in the molded pulp industry," International Journal of Production Economics, Elsevier, vol. 204(C), pages 227-243.
    18. Hu, Zhengyang & Hu, Guiping, 2016. "A two-stage stochastic programming model for lot-sizing and scheduling under uncertainty," International Journal of Production Economics, Elsevier, vol. 180(C), pages 198-207.

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