Skip to main content
SpringerLink
Log in

Gestion D'un Stock Multi-Produits Avec Couts Concaves Et Incitation Aux Lancements Groupes : Une Heuristique

  • Session 20 Production Automation
  • Conference paper
  • First Online:
Analysis and Optimization of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 63))

  • 123 Accesses

Abstract

This paper is devoted to the multi-product lot size model with concave costs, the production cost being joint. We give an heuristic which leads to a "good" solution, the amount of computation being only proportional to N * M, where N is the horizon of the problem and M the number of products involved.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. BENSOUSSAN, M. CROUHY, J.M. PROTH, "Mathematical theory of Production Planning" Advanced Series in Management, North Holland.

    Google Scholar 

  2. A. BENSOUSSAN and J.M. PROTH, "Inventory Planning in a Deterministic Environment: Concave Cost set up in Discrete and Continuous Time" Vienna, 81, November.

    Google Scholar 

  3. A. BENSOUSSAN and J.M. PROTH, "Gestion de Stocks avec Coûts Concaves" Rairo Automatique/Systems Analysis and Control Vol. 15, no3 pp. 291–220.

    Google Scholar 

  4. A. BENSOUSSAN and J.M. PROTH "Production Planning in a Deterministic Environment: Concave and Convex Cost-Planning Horizon", TIMS Congress, Bordeaux (FR), August 82.

    Google Scholar 

  5. J.M. PROTH "Problèmes à Coûts Concaves: Notion d'Horizon de planification", Sciences de Gestion, no3, December, 80.

    Google Scholar 

  6. H.M. WAGNER and T.M. WITHIN, "Dynamic Version of the Economic lot Size Model," Man. Sc, 10, 1964, 465–471.

    Google Scholar 

  7. R.A. LUNDIN and T.E. MORTON "Planning Horizons for the dynamic lot size model: Zabel v.s. protective procedures and computational results", O.R., vol. 13, no1, July–August 1975.

    Google Scholar 

  8. L.A. JOHNSON and P.C. MONTGOMERY "Operations Research in Production Planning" Scheduling and Inventory Control, Wiley, New-York, 1974.

    Google Scholar 

  9. A. EDWARD SILVER, "Coordinated Replenishments of items under Time-Varying demand: Dynamic Programming Formulation", Naval Research Logistics Quaterly, March, 79, vol. 26, no1.

    Google Scholar 

  10. P.C. EDWARD KAO, "A Multi-Product Dynamic lot Size model with individual and Joint Set-up Costs" O.R., vol. 27, no2, Mach–April 1979.

    Google Scholar 

  11. J.M. PROTH, "Gestion d'un Stock Multi-Produit avec Coût Concaves et incitation aux Lancements groupés" Analysis and Optimization of Systems, Proceedings of the Fifth International Conference on Analysis and Optimization of Systems, Versailles December 15–17, 1982.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Domaine de Voluceau -Rocquencourt, Inria, B.P. 105, 78153, Le Chesnay Cedex, France

    S. Diagne, V. I. Leopoulos & J. M. Proth

Authors
  1. S. Diagne
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Leopoulos
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. M. Proth
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

A. Bensoussan J. L. Lions

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Diagne, S., Leopoulos, V.I., Proth, J.M. (1984). Gestion D'un Stock Multi-Produits Avec Couts Concaves Et Incitation Aux Lancements Groupes : Une Heuristique. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006319

Download citation

  • DOI: https://doi.org/10.1007/BFb0006319

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13552-4

  • Online ISBN: 978-3-540-39010-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation