The Impact of Correlated Demands on Integrated Safety Stock Optimization in Multi-Stage Manufacturing Systems

  • Karl Inderfurth
Conference paper

Abstract

In this paper the determination of safety stocks in multi-stage manufacturing systems with — at least partly — serial and divergent structures is considered in case of stochastic demands which are correlated both between products and also through time. It is shown that these types of correlation have contrary effects on the safety stock distribution, and that neglecting demand correlation can lead to significant deviations from the optimal buffer policy. A procedure for integrated multi-level safety stock optimization is presented which can be applied to arbitrary serial and divergent systems, even if demand is jointly correlated.

Keywords

Peri Autocorrelation 

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References

  1. [1]
    Büchel, A., An Overview of Possible Procedures for Stochastic MRP, in: Engineering Costs and Production Economics 6 (1982): 43–51CrossRefGoogle Scholar
  2. [2]
    Erkip, N., Hausman, W.H., Nahmias, S., Optimal Centralized Ordering Policies in Multi-Echelon Inventory System with Correlated Demands, in: Management Science 36 (1990): 381–392CrossRefGoogle Scholar
  3. [3]
    Fotopoulos, S., Rao, S.S., Wang, M.C., Safety Stock Determination with Correlated Demands and Arbitrary Lead Times, in: European Journal of Operations Research 35 (1988): 172–181CrossRefGoogle Scholar
  4. [4]
    Graves, S.C., Safety Stocks in Manufacturing Systems in: Journal of Manufacturing and Operations Management 1 (1988): 67–101Google Scholar
  5. [5]
    Inderfurth, K., Safety Stock Optimization in Multi-Stage Inventory Systems, in: GRUBBSTRöM, R.W. et. al. (Eds.), Production Economics: Issues and Challenges for the 90th, Elsevier, Amsterdam 1991Google Scholar
  6. [6]
    Inderfurth, K., Combined Optimization of Safety Stocks and Processing Lead Times in Multi-Stage Production Systems, in: FANDEL, G., ZäPFEL, G., (Eds.), Modern Production Concepts: Theory and Applications, Springer, Berlin 1991Google Scholar
  7. [7]
    Kendall, M.G., Stuart, A., The Advanced Theory of Statistics, Vol.3, 3rd ed., Charles Griffin, London 1976Google Scholar
  8. [8]
    Orlicky, J.A., Material Requirements Planning, McGraw-Hill, New York 1975Google Scholar
  9. [9]
    Ray, W.D., The Significance of Correlated Demands and Variable Lead Times for Stock Control Policies, in: Journal of the Operational Research Society 31 (1980): 187–190Google Scholar
  10. [10]
    Ray, W.D., Computation of Recorder Levels when the Demands are Correlated and the Lead Time Random, in: Journal of the Operational Research Society 32 (1981): 27–34Google Scholar
  11. [11]
    Rockafellar, R.T., Convex Analysis, Princeton University Press, Princeton 1970Google Scholar
  12. [12]
    Rosling, K., Optimal Inventory Policies for Assembly Systems under Random Demands, Operations Research 37 (1989): 565–579CrossRefGoogle Scholar
  13. [13]
    Schwarz, L.B. (Ed.), Multi-Level Production/Inventory Control Systems: Theory and Practice, North-Holland, Amsterdam 1981Google Scholar
  14. [14]
    Simpson, K.F., In-Process Inventories, Operations Research 6 (1958): 863–873CrossRefGoogle Scholar
  15. [15]
    Van Donselaar, K., Material Coordination under Uncertainty, Dissertation, Eindhoven University of Technology 1989Google Scholar
  16. [16]
    Van Donselaar, K., Integral Stock Norms in Divergent Systems with Lot-Sizes, in: European Journal of Operations Research 45 (1990): 70–84.CrossRefGoogle Scholar
  17. [17]
    Van Donselaar, K., Wijngaard, J., Commonality and Safety Stocks, Engineering Costs and Production Economics 12 (1987): 197–204CrossRefGoogle Scholar
  18. [18]
    Wijngaard, J., Wortmann, J.C., MRP and Inventories, European Journal of Operations Research 20 (1985): 281–293CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 1992

Authors and Affiliations

  • Karl Inderfurth
    • 1
  1. 1.Fakultät für WirtschaftswissenschaftenUniversität BielefeldBielefeld 1Germany

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