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A decomposition approach for the General Lotsizing and Scheduling Problem for Parallel production Lines

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  • Meyr, Herbert
  • Mann, Matthias

Abstract

This paper presents a novel solution heuristic to the General Lotsizing and Scheduling Problem for Parallel production Lines (GLSPPL). The GLSPPL addresses the problem of simultaneously deciding about the sizes and schedules of production lots on parallel, heterogeneous production lines with respect to scarce capacity, sequence-dependent setup times and deterministic, dynamic demand of multiple products. Its objective is to minimize inventory holding, sequence-dependent setup and production costs. The new heuristic iteratively decomposes the multi-line problem into a series of single-line problems, which are easier to solve. Different approaches for decomposition and for the iteration between a modified multi-line master problem and the single-line subproblems are proposed. They are compared with an existing solution method for the GLSPPL by means of medium-sized and large practical problem instances from different types of industries. The new methods prove to be superior with respect to both solution quality and computation time.

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  • Meyr, Herbert & Mann, Matthias, 2013. "A decomposition approach for the General Lotsizing and Scheduling Problem for Parallel production Lines," European Journal of Operational Research, Elsevier, vol. 229(3), pages 718-731.
    • Handle: RePEc:eee:ejores:v:229:y:2013:i:3:p:718-731
    DOI: 10.1016/j.ejor.2013.03.036
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    Cited by:

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    2. Menezes, Gustavo Campos & Mateus, Geraldo Robson & Ravetti, Martín Gómez, 2017. "A branch and price algorithm to solve the integrated production planning and scheduling in bulk ports," European Journal of Operational Research, Elsevier, vol. 258(3), pages 926-937.
    3. 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.
    4. Mahyar Alimian & Vahidreza Ghezavati & Reza Tavakkoli-Moghaddam & Reza Ramezanian, 2024. "On the availability and changeover cases of the general lot-sizing and scheduling problem with maintenance modelling: a Lagrangian-based heuristic approach," Operational Research, Springer, vol. 24(2), pages 1-43, June.
    5. 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.
    6. 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.
    7. Markus Hilbert & Andreas Dellnitz & Andreas Kleine, 2023. "Production planning under RTP, TOU and PPA considering a redox flow battery storage system," Annals of Operations Research, Springer, vol. 328(2), pages 1409-1436, September.
    8. Martin Wörbelauer & Herbert Meyr & Bernardo Almada-Lobo, 2019. "Simultaneous lotsizing and scheduling considering secondary resources: a general model, literature review and classification," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 1-43, March.
    9. Junqueira, Rogerio de Ávila Ribeiro & Morabito, Reinaldo, 2019. "Modeling and solving a sugarcane harvest front scheduling problem," International Journal of Production Economics, Elsevier, vol. 213(C), pages 150-160.
    10. Ríos-Solís, Yasmín Á & Ibarra-Rojas, Omar J. & Cabo, Marta & Possani, Edgar, 2020. "A heuristic based on mathematical programming for a lot-sizing and scheduling problem in mold-injection production," European Journal of Operational Research, Elsevier, vol. 284(3), pages 861-873.
    11. K. A. G. Araujo & E. G. Birgin & M. S. Kawamura & D. P. Ronconi, 2023. "Relax-and-Fix Heuristics Applied to a Real-World Lot Sizing and Scheduling Problem in the Personal Care Consumer Goods Industry," SN Operations Research Forum, Springer, vol. 4(2), pages 1-30, June.

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