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Multi-echelon Inventory Models

  • Dinesh Shenoy
  • Roberto Rosas
Chapter

Abstract

In the previous chapters, we dealt with the problem of inventory items stocked in one location. In this chapter, we discuss mathematical models to manage inventory items that are maintained at different stocking points (or locations). These models are referred to as multi-echelon models. These models, while being closer to reality, are mathematically quite complex, and therefore only a high-level view of this topic is presented. We start our discussions with a simple two-stage (warehouse and retailer) model with deterministic demand and derive expressions to compute the order quantities for both stages. We then extend the model to probabilistic demand to compute the order quantities assuming demand to be normally distributed.

Keywords

Multiechelon Stages Echelon inventory Warehouse Retailer 

References

  1. Clark, A. J., & Scarf, H. (1960). Optimal policies for a multiechelon inventory problem. Management Science, 6(4), 475–490.CrossRefGoogle Scholar
  2. Graves, S. C. (1985). A multiechelon inventory model for a repairable item with one-for-one replenishment. Management Science, 31(10), 1247–1256.MathSciNetCrossRefzbMATHGoogle Scholar
  3. Palm, C. (1938). Analysis of Erlang traffic formula for busy-signal arrangements. Ericsson Techniques, 5, 39–58.Google Scholar
  4. Sherbrooke, C. C. (1968). METRIC – A multiechelon technique for recoverable item control. Operations Research, 16(1), 103–121.MathSciNetCrossRefGoogle Scholar
  5. Silver, E. A., Pyke, D. F., & Peterson, R. (1998). Inventory management and production planning and scheduling (3rd ed.). New York: Wiley.Google Scholar
  6. Vrat, P. (2014). Materials management – An integrated systems approach. New Delhi: Springer India.CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Dinesh Shenoy
    • 1
  • Roberto Rosas
    • 1
  1. 1.Tecnológico de MonterreyCampus LeónMexico

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