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

Models and methods for capacitated lot-sizing problems

PhD Thesis


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.


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

MSC classification

90B30 90C59 90C11 90C27 90C39 90C57 


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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

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

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