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Robust Solution Approach to CLSP Problem with an Uncertain Demand

  • Wilhelm DangelmaierEmail author
  • Ekaterina Kaganova
Conference paper
Part of the Lecture Notes in Production Engineering book series (LNPE)

Abstract

In this paper, we consider a production planning problem where demand for production is not exactly known, and only its lower and upper bounds are provided. Section 1 comprises an introduction to the production planning field, whereas the detailed problem statement is given in Sect. 2. Modeling aspects are contained within Sect. 3. The mathematical model of capacitated lot-sizing problem (CLSP) was considered as a basis. A demand uncertainty is included into the mathematical model by means of an uncertainty set D, which consists of corresponding demand uncertainty intervals in each planning period. We describe the solution approach in Sect. 4. The robust optimization techniques were chosen for solving, which allowed to construct the solution immunized against uncertainty. A computational example, comparison with the solution from stochastic optimization approach and analysis of obtained results are encompassed in Sect. 5. Conclusions and directions of future research are presented in Sect. 6.

Keywords

Production planning Demand uncertainty Robust optimization 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.University of PaderbornPaderbornGermany

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