Risk and Safety Stock Management in Production Planning and Inventory Control with Stochastic Demand and Yield

  • Karl Inderfurth


Production planning and inventory control is facing challenging risk management problems if it is confronted with uncertainties from both the demand and the process side. By analyzing the respective planning problems with methods of stochastic inventory control it is possible to gain remarkably deep insights into the way how optimal reorder and safety stock management responds to joint demand and yield risks. These insights can be exploited to assess and improve the simple type of risk management rules employed in MRP systems to cope with uncertainties in demand and production yield.


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  1. [1]
    Axsäter S, Rosling K (1994) Multi-level production-inventory control: Material requirements planning or reorder point policies? European Journal of Operational Research 75:405–412CrossRefGoogle Scholar
  2. [2]
    Bollapragada S, Morton T (1999) Myopic heuristics for the random yield problem. Operations Research 47:713–722Google Scholar
  3. [3]
    Gerchak Y, Vickson R, Parlar M (1988) Periodic review production models with variable yield and uncertain demand. IEE Transactions 20:144–150CrossRefGoogle Scholar
  4. [4]
    Guide Jr. VDR (2000) Production planning and control for remanufacturing: industries practices and research needs. Journal of Operations Management 18:467–483CrossRefGoogle Scholar
  5. [5]
    Henig M, Gerchak Y (1990) The structure of periodic review policies in the presence of random yield. Operations Research 38:634–643Google Scholar
  6. [6]
    Inderfurth K, Jensen T (1999) Analysis of MRP policies with recovery options. In: Leopold-Wilburger U, Feichtinger G, Kistner KP (eds.) Modelling and Decisions in Economics. Springer, Heidelberg/New York, pp. 189–228Google Scholar
  7. [7]
    Inderfurth K (2004) Analytical solution for the single-period inventory problem with uniformly distributed yield and demand. Central European Journal of Operations Research 12:117–127Google Scholar
  8. [8]
    Nahmias S (2005) Production and Operations Analysis, 5th edition. McGraw-Hill, New YorkGoogle Scholar
  9. [9]
    Neumann K, Morlock M (1993) Operations Research. Hanser, München/WienGoogle Scholar
  10. [10]
    Silver EA, Pyke DF, Peterson R (1998) Inventory Management and Production Planning and Scheduling, 3rd edition. John Wiley & Sons, New YorkGoogle Scholar
  11. [11]
    Transchel S (2004) Zur Güte linearer Dispositionsregeln für ein Produktions-Lagerhaltungs-Problem mit stochastischer Nachfrage und stochastischer Produktionsausbeute. Diploma Thesis, University of Magdeburg, MagdeburgGoogle Scholar
  12. [12]
    Vollmann TE, Berry WL, Whybark DC, Jacobs FR (2005) Manufacturing Planning and Control Systems for Supply Chain Management, 5th edition. McGraw-Hill, New YorkGoogle Scholar
  13. [13]
    Yano CA, Lee HL (1995) Lot sizing with random yields: A review. Operations Research 43:311–334CrossRefGoogle Scholar
  14. [14]
    Zipkin PH (2000) Foundations of inventory management. McGraw-Hill, New YorkGoogle Scholar

Copyright information

© Deutscher Universitäts-Verlag/GWV Fachverlage GmbH, Wiesbaden 2006

Authors and Affiliations

  • Karl Inderfurth
    • 1
  1. 1.Lehrstuhl für Betriebswirtschaftslehre, insbesondere Produktion und LogistikOtto-von-Guericke-UniversitätMagdeburg

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