4OR

, Volume 6, Issue 3, pp 311–314 | Cite as

Models and methods for capacitated lot-sizing problems

PhD Thesis

Abstract

This is a summary of the author’s PhD thesis supervised by Philippe Chrétienne and Safia Kedad-Sidhoum and defended in December 2005 at the Université Pierre et Marie Curie (Paris VI). The thesis is written in French and is available from http://absi.nabil.free.fr/ABSI-Thesis.pdf. This work mainly deals with multi-item capacitated lot-sizing problems with setup times, shortages on demand and safety stock deficit costs. We propose a new mathematical model that includes these new constraints. Three solution approaches are considered: branch-and-cut, Lagrangean relaxation and MIP-based heuristics approaches. Experimental results showing the effectiveness and the limit of each approach are presented.

keywords

Production planning Lot-sizing Valid inequalities Dynamic programming Lagrangean relaxation Heuristic Branch-and-cut 

MSC classification

90B30 90C59 90C11 90C27 90C39 90C57 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Absi N and Kedad-Sidhoum S (2007). MIP-based heuristics for multi-item capacitated lot-sizing problem with setup times and shortage costs. RAIRO Oper Res 41: 171–192 CrossRefGoogle Scholar
  2. 2.
    Absi N, Kedad-Sidhoum S (2006) Capacitated lot-sizing problem with setup times, stock and demand shortages. NCOM’2006, 12th IFAC Symposium on Information Control Problems in Manufacturing, vol III, Operational Research, pp 185–190Google Scholar
  3. 3.
    Absi N and Kedad-Sidhoum S (2008). The multi-item capacitated lot-sizing problem with setup times and shortage costs. Eur J Oper Res 185: 1351–1374 CrossRefGoogle Scholar
  4. 4.
    Chen WH and Thizy JM (1990). Analysis of relaxations for the multi-item capacitated lot-sizing problem. Ann Oper Res 26: 29–72 CrossRefGoogle Scholar
  5. 5.
    Marchand H and Wolsey LA (1999). The 0-1 knapsack problem with a single continuous variable. Math Program 85: 15–33 CrossRefGoogle Scholar
  6. 6.
    Miller AJ, Nemhauser GL and Savelsbergh MWP (2003). On the polyhedral structure of a multi-item production planning model with setup times. Math Program 94: 375–405 CrossRefGoogle Scholar
  7. 7.
    Trigeiro W, Thomas LJ and McLain JO (1989). Capacitated lot-sizing with setup times. Manage Sci 35: 353–366 CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Centre Microélectronique de Provence, École des Mines de Saint-ÉtienneSite Georges CharpakGardanneFrance

Personalised recommendations