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Simultaneous lotsizing and scheduling problems: a classification and review of models

Author

Listed:
  • Karina Copil

    (University of Cologne)

  • Martin Wörbelauer

    (University of Hohenheim)

  • Herbert Meyr

    (University of Hohenheim)

  • Horst Tempelmeier

    (University of Cologne)

Abstract

The current paper presents a structured overview over the literature on dynamic simultaneous lotsizing and scheduling problems. We introduce a classification scheme, review the historical development of research in this area and identify recent developments. The main contribution of the present review is the discussion of the historical development of the body of knowledge in the field of simultaneous lotsizing and scheduling and the identification of recent trends. This helps to reveal research opportunities, but it can also be helpful in the selection of appropriate models for industrial applications.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:orspec:v:39:y:2017:i:1:d:10.1007_s00291-015-0429-4
    DOI: 10.1007/s00291-015-0429-4
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    1. Almada-Lobo, Bernardo & Oliveira, José F. & Carravilla, Maria Antónia, 2008. "Production planning and scheduling in the glass container industry: A VNS approach," International Journal of Production Economics, Elsevier, vol. 114(1), pages 363-375, July.
    2. Meyr, H., 2000. "Simultaneous Lotsizing and Scheduling by combining Local Search with Dual Reoptimization," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 39380, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    3. Stadtler, Hartmut & Sahling, Florian, 2013. "A lot-sizing and scheduling model for multi-stage flow lines with zero lead times," European Journal of Operational Research, Elsevier, vol. 225(3), pages 404-419.
    4. Guimarães, Luis & Klabjan, Diego & Almada-Lobo, Bernardo, 2013. "Pricing, relaxing and fixing under lot sizing and scheduling," European Journal of Operational Research, Elsevier, vol. 230(2), pages 399-411.
    5. Francesco Gaglioppa & Lisa A. Miller & Saif Benjaafar, 2008. "Multitask and Multistage Production Planning and Scheduling for Process Industries," Operations Research, INFORMS, vol. 56(4), pages 1010-1025, August.
    6. 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.
    7. Almeder, Christian & Klabjan, Diego & Traxler, Renate & Almada-Lobo, Bernardo, 2015. "Lead time considerations for the multi-level capacitated lot-sizing problem," European Journal of Operational Research, Elsevier, vol. 241(3), pages 727-738.
    8. Dirk Cattrysse & Marc Salomon & Roelof Kuik & Luk N. Van Wassenhove, 1993. "A Dual Ascent and Column Generation Heuristic for the Discrete Lotsizing and Scheduling Problem with Setup Times," Management Science, INFORMS, vol. 39(4), pages 477-486, April.
    9. Laurence A. Wolsey, 2002. "Solving Multi-Item Lot-Sizing Problems with an MIP Solver Using Classification and Reformulation," Management Science, INFORMS, vol. 48(12), pages 1587-1602, December.
    10. 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.
    11. 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).
    12. Drexl, Andreas & Haase, Knut, 1995. "Proportional lotsizing and scheduling," International Journal of Production Economics, Elsevier, vol. 40(1), pages 73-87, June.
    13. François Vanderbeck, 1998. "Lot-Sizing with Start-Up Times," Management Science, INFORMS, vol. 44(10), pages 1409-1425, October.
    14. Uday S. Karmarkar & Linus Schrage, 1985. "The Deterministic Dynamic Product Cycling Problem," Operations Research, INFORMS, vol. 33(2), pages 326-345, April.
    15. Meyr, Herbert, 2002. "Simultaneous lotsizing and scheduling on parallel machines," European Journal of Operational Research, Elsevier, vol. 139(2), pages 277-292, June.
    16. Wolosewicz, Cathy & Dauzère-Pérès, Stéphane & Aggoune, Riad, 2015. "A Lagrangian heuristic for an integrated lot-sizing and fixed scheduling problem," European Journal of Operational Research, Elsevier, vol. 244(1), pages 3-12.
    17. MILLER, Andrew J. & WOLSEY, Laurence A., 2003. "Tight MIP formulations for multi-item discrete lot-sizing problems," LIDAM Reprints CORE 1639, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. 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.
    19. Tiacci, Lorenzo & Saetta, Stefano, 2012. "Demand forecasting, lot sizing and scheduling on a rolling horizon basis," International Journal of Production Economics, Elsevier, vol. 140(2), pages 803-814.
    20. WOLSEY, Laurence A., 2002. "Solving multi-item lot-sizing problems with an MIP solver using classification and reformulation," LIDAM Reprints CORE 1605, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    21. Clark, Alistair R., 2003. "Optimization approximations for capacity constrained material requirements planning," International Journal of Production Economics, Elsevier, vol. 84(2), pages 115-131, May.
    22. 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.
    23. Stadtler, Hartmut, 2011. "Multi-level single machine lot-sizing and scheduling with zero lead times," European Journal of Operational Research, Elsevier, vol. 209(3), pages 241-252, March.
    24. 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.
    25. Yvan Dumas & Jacques Desrosiers & Eric Gelinas & Marius M. Solomon, 1995. "An Optimal Algorithm for the Traveling Salesman Problem with Time Windows," Operations Research, INFORMS, vol. 43(2), pages 367-371, April.
    26. 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.
    27. GICQUEL, Céline & WOLSEY, Laurence A. & MINOU, Michel, 2012. "On discrete lot-sizing and scheduling on identical parallel machines," LIDAM Reprints CORE 2386, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    28. 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.
    29. 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.
    30. Wolsey, Laurence A., 1997. "MIP modelling of changeovers in production planning and scheduling problems," European Journal of Operational Research, Elsevier, vol. 99(1), pages 154-165, May.
    31. Fleischmann, Bernhard, 1994. "The discrete lot-sizing and scheduling problem with sequence-dependent setup costs," European Journal of Operational Research, Elsevier, vol. 75(2), pages 395-404, June.
    32. 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.
    33. Gicquel, C. & Lisser, A. & Minoux, M., 2014. "An evaluation of semidefinite programming based approaches for discrete lot-sizing problems," European Journal of Operational Research, Elsevier, vol. 237(2), pages 498-507.
    34. WOLSEY, Laurence, 2002. "Solving multi-item lot-sizing problems with an MIP solver using classification and reformulation," LIDAM Discussion Papers CORE 2002012, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    35. de Matta, Renato, 1994. "A Lagrangean decomposition solution to a single line multiproduct scheduling problem," European Journal of Operational Research, Elsevier, vol. 79(1), pages 25-37, November.
    36. Dauzere-Peres, Stephane & Lasserre, Jean-Bernard, 1994. "Integration of lotsizing and scheduling decisions in a job-shop," European Journal of Operational Research, Elsevier, vol. 75(2), pages 413-426, June.
    37. Guimarães, Luis & Klabjan, Diego & Almada-Lobo, Bernardo, 2014. "Modeling lotsizing and scheduling problems with sequence dependent setups," European Journal of Operational Research, Elsevier, vol. 239(3), pages 644-662.
    38. de Matta, Renato & Guignard, Monique, 1994. "Studying the effects of production loss due to setup in dynamic production scheduling," European Journal of Operational Research, Elsevier, vol. 72(1), pages 62-73, January.
    39. Yves Pochet & Laurence A. Wolsey, 1991. "Solving Multi-Item Lot-Sizing Problems Using Strong Cutting Planes," Management Science, INFORMS, vol. 37(1), pages 53-67, January.
    40. Andrew J. Miller & Laurence A. Wolsey, 2003. "Tight Mip Formulation for Multi-Item Discrete Lot-Sizing Problems," Operations Research, INFORMS, vol. 51(4), pages 557-565, August.
    41. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    42. Salomon, Marc & Solomon, Marius M. & Van Wassenhove, Luk N. & Dumas, Yvan & Dauzere-Peres, Stephane, 1997. "Solving the discrete lotsizing and scheduling problem with sequence dependent set-up costs and set-up times using the Travelling Salesman Problem with time windows," European Journal of Operational Research, Elsevier, vol. 100(3), pages 494-513, August.
    43. T. L. Magnanti & R. Vachani, 1990. "A Strong Cutting Plane Algorithm for Production Scheduling with Changeover Costs," Operations Research, INFORMS, vol. 38(3), pages 456-473, June.
    44. Kovcs, Andrs & Brown, Kenneth N. & Tarim, S. Armagan, 2009. "An efficient MIP model for the capacitated lot-sizing and scheduling problem with sequence-dependent setups," International Journal of Production Economics, Elsevier, vol. 118(1), pages 282-291, March.
    45. 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.
    46. L. S. Lasdon & R. C. Terjung, 1971. "An Efficient Algorithm for Multi-Item Scheduling," Operations Research, INFORMS, vol. 19(4), pages 946-969, August.
    47. 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.
    48. Heuts, R. M. J. & Seidel, H. P. & Selen, W. J., 1992. "A comparison of two lot sizing-sequencing heuristics for the process industry," European Journal of Operational Research, Elsevier, vol. 59(3), pages 413-424, June.
    49. Meyr, H., 2000. "Simultaneous lotsizing and scheduling by combining local search with dual reoptimization," European Journal of Operational Research, Elsevier, vol. 120(2), pages 311-326, January.
    50. Matthew J. Liberatore & Tan Miller, 1985. "A Hierarchical Production Planning System," Interfaces, INFORMS, vol. 15(4), pages 1-11, August.
    51. 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).
    52. Carsten Jordan & Andreas Drexl, 1998. "Discrete Lotsizing and Scheduling by Batch Sequencing," Management Science, INFORMS, vol. 44(5), pages 698-713, May.
    53. Wolsey, L. A., 1997. "MIP modelling of changeovers in production planning and scheduling problems," LIDAM Reprints CORE 1271, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    54. Sungmin Kang & Kavindra Malik & L. Joseph Thomas, 1999. "Lotsizing and Scheduling on Parallel Machines with Sequence-Dependent Setup Costs," Management Science, INFORMS, vol. 45(2), pages 273-289, February.
    55. 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.
    56. Suerie, Christopher, 2006. "Modeling of period overlapping setup times," European Journal of Operational Research, Elsevier, vol. 174(2), pages 874-886, October.
    57. Fandel, Gunter & Stammen-Hegene, Cathrin, 2006. "Simultaneous lot sizing and scheduling for multi-product multi-level production," International Journal of Production Economics, Elsevier, vol. 104(2), pages 308-316, December.
    58. 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).
    59. Miguel Constantino, 2000. "A polyhedral approach to a production planning problem," Annals of Operations Research, Springer, vol. 96(1), pages 75-95, November.
    60. Fleischmann, Bernhard, 1990. "The discrete lot-sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 44(3), pages 337-348, February.
    61. Renato de Matta & Monique Guignard, 1994. "Dynamic Production Scheduling for a Process Industry," Operations Research, INFORMS, vol. 42(3), pages 492-503, June.
    62. J. Christian Lang, 2010. "Production and Inventory Management with Substitutions," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-642-04247-8, December.
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