Skip to main content
Log in

A heuristic for the dynamic multi-level capacitated lotsizing problem with linked lotsizes for general product structures

  • Regular Article
  • Published:
OR Spectrum Aims and scope Submit manuscript

Abstract

In this paper, a new model formulation for the dynamic multi-level capacitated lotsizing problem with linked lotsizes is introduced. Linked lotsizes means that the model formulation correctly accounts for setup carryovers between adjacent periods if production of a product is continued in the next period. This model formulation is a good compromise between the big-bucket and small-bucket model formulation in that it inherits the stability of a big-bucket model and at least partially includes the precise description of setup operations provided by a small-bucket model. A Lagrangean heuristic is developed and tested in a numerical experiment with a set of invented data and a data set taken from industry. The solutions found show a good quality.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Billington PJ, McClain JO and Thomas LJ (1983). Mathematical programming approaches to capacity-constrained mrp systems: review, formulation and problem reduction. Manage Sci 29(10): 1126–1141

    Article  Google Scholar 

  • Billington PJ, McClain JO and Thomas LJ (1986). Heuristics for multilevel lot-sizing with a bottleneck. Manage Sci 32(8): 989–1006

    Article  Google Scholar 

  • Briskorn D (2006). A note on capacitated lot sizing with setup carry over. IIE Trans 38: 1045–1047

    Article  Google Scholar 

  • Derstroff MC (1995). Mehrstufige Losgrößenplanung mit Kapazitätsbeschränkungen. Produktion und Logistik. Physica-Verlag, Heidelberg

    Google Scholar 

  • Drexl A and Kimms A (1997). Lot sizing and scheduling - survey and extensions. Eur J Oper Res 99(2): 221–235

    Article  Google Scholar 

  • Haase K (1994). Lotsizing and scheduling for production planning. Springer, Berlin

    Google Scholar 

  • Haase K (1998) Capacitated lot-sizing with linked production quantities of adjacent periods. In: Drexl A, Kimms A (eds.) Beyond manufacturing resource planning (MRP II) – advanced models and methods for production planning. Springer, Berlin pp 127–146

  • Jans R, Degraeve Z (2004) Meta-heuristics for dynamic lot sizing: a review and comparison of solution approaches. ERIM Report Series Research in Management pp 1–38

  • Karimi B, Ghomi SMTF and Wilson JM (2003). The capacitated lot sizing problem: a review of models and algorithms. Omega 31: 365–378

    Article  Google Scholar 

  • Meyr H (1999). Simultane Losgrößen- und Reihenfolgeplanung für kontinuierliche Produktionslnien. Gabler Edition Wissenschaft: Produktion und Logistik. Gabler, Wiesbaden

    Google Scholar 

  • Salomon M (1991). Deterministic lotsizing for production planning, Band 355 of lecture notes in economics and mathematical systems. Springer, Berlin

    Google Scholar 

  • Sox CR and Gao Y (1999). The capacitated lot sizing problem with setup carry-over. IIE Trans 31: 173–181

    Google Scholar 

  • Sürie C (2005). Time continuity in discrete time models. Springer, Berlin

    Google Scholar 

  • Staggemeier AT, Clark AR (2001) A survey of lot-sizing and scheduling models. In: 23rd annual symposium of the brazilian operational research society (SOBRAPO). Campos do Jordao SP, Brazil, pp 938–947

  • Tempelmeier H and Derstroff M (1996). A lagrangean-based heuristic for dynamic multilevel multi-item constrained lotsizing with setup times. Manag Sci 42(5): 739–757

    Article  Google Scholar 

  • Wagner HM and Whitin TM (1958). Dynamic version of the economic lot size model. Manag Sci 5(1): 89–96

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Horst Tempelmeier.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tempelmeier, H., Buschkühl, L. A heuristic for the dynamic multi-level capacitated lotsizing problem with linked lotsizes for general product structures. OR Spectrum 31, 385–404 (2009). https://doi.org/10.1007/s00291-008-0130-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00291-008-0130-y

Keywords

Navigation