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Simultaneous lotsizing and scheduling considering secondary resources: a general model, literature review and classification

Author

Listed:
  • Martin Wörbelauer

    (University of Hohenheim)

  • Herbert Meyr

    (University of Hohenheim)

  • Bernardo Almada-Lobo

    (Universidade do Porto)

Abstract

Typical simultaneous lotsizing and scheduling models consider the limited capacity of the production system by respecting a maximum time the respective machines or production lines can be available. Further limitations of the production quantities can arise by the scarce availability of, e.g., setup tools, setup operators or raw materials which thus cannot be neglected in optimization models. In the literature on simultaneous lotsizing and scheduling, these production factors are called “secondary resources”. This paper provides a structured overview of the literature on simultaneous lotsizing and scheduling involving secondary resources. The proposed classification yields for the first time a unified view of scarce production factors. The insights about different types of secondary resources help to develop a new model formulation generalizing and extending the currently used approaches that are specific for some settings. Some illustrative examples demonstrate the functional principle and flexibility of this new formulation which can thus be used for a wide range of applications.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:orspec:v:41:y:2019:i:1:d:10.1007_s00291-018-0536-0
    DOI: 10.1007/s00291-018-0536-0
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    References listed on IDEAS

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    1. 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.
    2. L. S. Lasdon & R. C. Terjung, 1971. "An Efficient Algorithm for Multi-Item Scheduling," Operations Research, INFORMS, vol. 19(4), pages 946-969, August.
    3. Ferreira, Deisemara & Morabito, Reinaldo & Rangel, Socorro, 2009. "Solution approaches for the soft drink integrated production lot sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 196(2), pages 697-706, July.
    4. Fleischmann, B. & Meyr, H., 1997. "The General Lotsizing and Scheduling Problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 36068, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    5. 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.
    6. Drexl, Andreas & Haase, Knut, 1995. "Proportional lotsizing and scheduling," International Journal of Production Economics, Elsevier, vol. 40(1), pages 73-87, June.
    7. 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.
    8. Uday S. Karmarkar & Linus Schrage, 1985. "The Deterministic Dynamic Product Cycling Problem," Operations Research, INFORMS, vol. 33(2), pages 326-345, April.
    9. Meyr, Herbert, 2002. "Simultaneous lotsizing and scheduling on parallel machines," European Journal of Operational Research, Elsevier, vol. 139(2), pages 277-292, June.
    10. Gary D. Eppen & R. Kipp Martin, 1987. "Solving Multi-Item Capacitated Lot-Sizing Problems Using Variable Redefinition," Operations Research, INFORMS, vol. 35(6), pages 832-848, December.
    11. Meyr, H., 2004. "Simultane Losgrößen- und Reihenfolgeplanung bei mehrstufiger kontinuierlicher Fertigung," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 36063, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    12. Hartmann, Sönke & Briskorn, Dirk, 2010. "A survey of variants and extensions of the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 207(1), pages 1-14, November.
    13. Christopher Suerie, 2005. "Time Continuity in Discrete Time Models," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-27290-8, July.
    14. Tempelmeier, Horst & Buschkühl, Lisbeth, 2008. "Dynamic multi-machine lotsizing and sequencing with simultaneous scheduling of a common setup resource," International Journal of Production Economics, Elsevier, vol. 113(1), pages 401-412, May.
    15. Bernardo Almada-Lobo & Diego Klabjan & Maria Carravilla & José Oliveira, 2010. "Multiple machine continuous setup lotsizing with sequence-dependent setups," Computational Optimization and Applications, Springer, vol. 47(3), pages 529-552, November.
    16. Anantaram Balakrishnan & Joseph Geunes, 2000. "Requirements Planning with Substitutions: Exploiting Bill-of-Materials Flexibility in Production Planning," Manufacturing & Service Operations Management, INFORMS, vol. 2(2), pages 166-185, January.
    17. Gothe-Lundgren, Maud & T. Lundgren, Jan & A. Persson, Jan, 2002. "An optimization model for refinery production scheduling," International Journal of Production Economics, Elsevier, vol. 78(3), pages 255-270, August.
    18. Meyr, H., 2002. "Simultaneous Lotsizing and Scheduling on Parallel Machines," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 36065, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    19. Fleischmann, Bernhard, 1990. "The discrete lot-sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 44(3), pages 337-348, February.
    20. Camargo, Victor C.B. & Toledo, Franklina M.B. & Almada-Lobo, Bernardo, 2014. "HOPS – Hamming-Oriented Partition Search for production planning in the spinning industry," European Journal of Operational Research, Elsevier, vol. 234(1), pages 266-277.
    21. V C B Camargo & F M B Toledo & B Almada-Lobo, 2012. "Three time-based scale formulations for the two-stage lot sizing and scheduling in process industries," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(11), pages 1613-1630, November.
    22. Horst Tempelmeier & Karina Copil, 2016. "Capacitated lot sizing with parallel machines, sequence-dependent setups, and a common setup operator," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 819-847, October.
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    3. Herbert Meyr & Mirko Kiel, 2022. "Minimizing setups and waste when printing labels of consumer goods," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(3), pages 733-761, September.
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    5. 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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