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Models and methods for capacitated lot-sizing problems

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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.

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References

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Correspondence to Nabil Absi.

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This work was financed by the ANRT and DynaSys S.A.

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Absi, N. Models and methods for capacitated lot-sizing problems. 4OR 6, 311–314 (2008). https://doi.org/10.1007/s10288-007-0062-4

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  • DOI: https://doi.org/10.1007/s10288-007-0062-4

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