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An overview of inventory systems with several demand classes

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  • Kleijn, M.J.
  • Dekker, R.

Abstract

In this chapter we discuss inventory systems where several demand classes may be distinguished. In particular, we focus on single-location inventory systems and we analyse the use of a so-called critical level policy. With this policy some inventory is reserved for high-priority demand. A number of practical examples where several demand classes naturally arise are presented, and the implications and modelling of the critical level policy in distribution systems are discussed. Finally, an overview of the literature on inventory systems with several demand classes is given.

Suggested Citation

  • Kleijn, M.J. & Dekker, R., 1998. "An overview of inventory systems with several demand classes," Econometric Institute Research Papers EI 9838, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:1534
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    References listed on IDEAS

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    1. R. Dekker & R.M. Hill & M.J. Kleijn & R.H. Teunter, 2002. "On the (S − 1, S) lost sales inventory model with priority demand classes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(6), pages 593-610, September.
    2. Morris A. Cohen & Paul R. Kleindorfer & Hau L. Lee, 1988. "Service Constrained (s, S) Inventory Systems with Priority Demand Classes and Lost Sales," Management Science, INFORMS, vol. 34(4), pages 482-499, April.
    3. Arthur F. Veinott, 1965. "Optimal Policy in a Dynamic, Single Product, Nonstationary Inventory Model with Several Demand Classes," Operations Research, INFORMS, vol. 13(5), pages 761-778, October.
    4. Albert Y. Ha, 1997. "Inventory Rationing in a Make-to-Stock Production System with Several Demand Classes and Lost Sales," Management Science, INFORMS, vol. 43(8), pages 1093-1103, August.
    5. P Melchiors & R Dekker & M J Kleijn, 2000. "Inventory rationing in an (s, Q) inventory model with lost sales and two demand classes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(1), pages 111-122, January.
    6. Alan Kaplan, 1969. "Stock Rationing," Management Science, INFORMS, vol. 15(5), pages 260-267, January.
    7. Dekker, R. & Kleijn, M. J. & de Rooij, P. J., 1998. "A spare parts stocking policy based on equipment criticality," International Journal of Production Economics, Elsevier, vol. 56(1), pages 69-77, September.
    8. Arthur F. Veinott, Jr., 1966. "The Status of Mathematical Inventory Theory," Management Science, INFORMS, vol. 12(11), pages 745-777, July.
    9. Donald M. Topkis, 1968. "Optimal Ordering and Rationing Policies in a Nonstationary Dynamic Inventory Model with n Demand Classes," Management Science, INFORMS, vol. 15(3), pages 160-176, November.
    10. Richard V. Evans, 1968. "Sales and Restocking Policies in a Single Item Inventory System," Management Science, INFORMS, vol. 14(7), pages 463-472, March.
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    Cited by:

    1. Hasan Arslan & Stephen C. Graves & Thomas A. Roemer, 2007. "A Single-Product Inventory Model for Multiple Demand Classes," Management Science, INFORMS, vol. 53(9), pages 1486-1500, September.
    2. de Brito, M.P. & de Koster, M.B.M., 2003. "Product Return Handling," ERIM Report Series Research in Management ERS-2003-013-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    3. Quante, R. & Meyr, H. & Fleischmann, M., 2007. "Revenue Management and Demand Fulfillment: Matching Applications, Models, and Software," ERIM Report Series Research in Management ERS-2007-050-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    4. Bayram, Armagan & Cesaret, Bahriye, 2021. "Order fulfillment policies for ship-from-store implementation in omni-channel retailing," European Journal of Operational Research, Elsevier, vol. 294(3), pages 987-1002.
    5. Weihua Zhou & Chung‐Yee Lee & David Wu, 2011. "Optimal control of a capacitated inventory system with multiple demand classes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(1), pages 43-58, February.
    6. Tempelmeier, Horst, 2006. "Supply chain inventory optimization with two customer classes in discrete time," European Journal of Operational Research, Elsevier, vol. 174(1), pages 600-621, October.
    7. Agatz, Niels A.H. & Fleischmann, Moritz & van Nunen, Jo A.E.E., 2008. "E-fulfillment and multi-channel distribution - A review," European Journal of Operational Research, Elsevier, vol. 187(2), pages 339-356, June.
    8. Quante, R. & Fleischmann, M. & Meyr, H., 2009. "A Stochastic Dynamic Programming Approach to Revenue Management in a Make-to-Stock Production System," ERIM Report Series Research in Management ERS-2009-015-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    9. Ayanso, Anteneh & Diaby, Moustapha & Nair, Suresh K., 2006. "Inventory rationing via drop-shipping in Internet retailing: A sensitivity analysis," European Journal of Operational Research, Elsevier, vol. 171(1), pages 135-152, May.
    10. Demeter, Krisztina & Szász, Levente & Kő, Andrea, 2019. "A text mining based overview of inventory research in the ISIR special issues 1994–2016," International Journal of Production Economics, Elsevier, vol. 209(C), pages 134-146.
    11. Zümbül Atan & Lawrence V. Snyder & George R. Wilson, 2018. "Transshipment policies for systems with multiple retailers and two demand classes," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(1), pages 159-186, January.

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