A Supply Chain Operations Lot-Sizing and Scheduling Model with Alternative Operations

  • Julien Maheut
  • José Pedro Garcia-Sabater
  • Josefa Mula
Conference paper

Abstract

The aim of this paper is to propose an mixed integer linear programming (MILP) model for operations lot-sizing and scheduling (assignment and sequencing) in the supply chain of an international company which produces and delivers customized products through several geographically distributed assembly plants. The model schedules the purchase of raw materials in the various plants considered, the transshipments, shipments to customers and the various operations to assemble the product. The model considers different alternative production operations such as product substitution (upgrading), alternative procurement and transport operations. It also addresses the different lead times associated with these operations. Specific constraints such as space availability on each plant and workforces are contemplated. A novel approach based on the stroke concept is applied to the MILP model to model alternatives.

References

  1. Garcia-Sabater JP, Maheut J, Garcia-Sabater JJ (2009a) A capacited material requierements planning model considering delivery constraints. In: 3rd international conference on industrial engineering and industrial management. pp 793–803Google Scholar
  2. Garcia-Sabater JP, Maheut J, Garcia-Sabater JJ (2009b) A capacited material requierements planning model considering delivery constraints: a case study from the automotive industry. In: 39th international conference on computers and industrial engineering. pp 378–383Google Scholar
  3. Graves SC, Willems SP (2003) Supply chain design: safety stock placement and supply chain configuration. Handb Oper Res Manag Sci 11:95–132CrossRefGoogle Scholar
  4. Haase K (1996) Capacitated lot-sizing with sequence dependent setup costs. OR Spectr 18:51–59CrossRefMATHMathSciNetGoogle Scholar
  5. Hnaien F, Dolgui A, Louly MA (2008) Planned lead time optimization in material requirement planning environment for multilevel production systems. J Syst Sci Sys Eng 17:132–155CrossRefGoogle Scholar
  6. Karimi B, Fatemi Ghomi SMT, Wilson JM (2003) The capacitated lot sizing problem: a review of models and algorithms. Omega-Int J Manage S 31:365–378CrossRefGoogle Scholar
  7. Lang JC (2010) Production and inventory management with substitutions. Springer, GermanyCrossRefGoogle Scholar
  8. Li H, Womer K (2008) Modeling the supply chain configuration problem with resource constraints. Int J Proj Manag 26:646–654CrossRefGoogle Scholar
  9. Lloret J, Garcia-Sabater JP, Marin-Garcia J (2008) Cooperative multisite production re-schedulingGoogle Scholar
  10. Mohammadi Bidhandi H, Yusuff R, Megat Ahmad MMH et al (2009) Development of a new approach for deterministic supply chain network design. Eur J Oper Res 198:121–128CrossRefMATHGoogle Scholar
  11. Mula J, Maheut J, Garcia-Sabater JP (2011) Mathematical modelling for supply chain configuration. In: Brennan. Christopher R (ed) Mathematical modelling. Nova Science Publisher, New YorkGoogle Scholar
  12. Nagurney A (2010) Optimal supply chain network design and redesign at minimal total cost and with demand satisfaction. Int J Prod Econ 128:200–208CrossRefGoogle Scholar
  13. Pantelides CC (1994) Unified frameworks for the optimal process planning and scheduling. In: Proceedings of the 2nd Conference on the Foundations of Computer Aided Operations. 253–274Google Scholar
  14. Stadtler H (2005) Supply chain management and advanced planning–basics, overview and challenges. Eur J Oper Res 163:575–588CrossRefMATHGoogle Scholar
  15. Tempelmeier H, Buschkühl L (2008) Dynamic multi-machine lotsizing and sequencing with simultaneous scheduling of a common setup resource. Int J Prod Econ 113:401–412CrossRefGoogle Scholar
  16. Wagner HM, Whitin TM (1958) Dynamic version of the economic lot size problem. Manage Sci 5:89–96CrossRefMATHMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag London Limited  2012

Authors and Affiliations

  • Julien Maheut
    • 1
  • José Pedro Garcia-Sabater
    • 1
  • Josefa Mula
    • 2
  1. 1.Reengineering Operations GroupWork Logistics Excellence (ROGLE)Universitat Politècnica de ValènciaValenciaSpain
  2. 2.Research Center on Production Management and Engineering (CIGIP)Universitat Politècnica de ValènciaAlcoySpain

Personalised recommendations