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Note--Sensitivity to Distributions in Inventory Systems

Author

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  • Eliezer Naddor

    (Johns Hopkins University)

Abstract

The optimal decisions and costs of several inventory systems with the s, S policy are presented showing how they are affected by different distributions of demand, different shortage costs and different leadtimes. The numerical results seem to imply that in many cases the optimal decisions depend on the means and standard deviations of demand but not on the specific forms of the distributions.

Suggested Citation

  • Eliezer Naddor, 1978. "Note--Sensitivity to Distributions in Inventory Systems," Management Science, INFORMS, vol. 24(16), pages 1769-1772, December.
  • Handle: RePEc:inm:ormnsc:v:24:y:1978:i:16:p:1769-1772
    DOI: 10.1287/mnsc.24.16.1769
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    Citations

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    Cited by:

    1. Georgia Perakis & Guillaume Roels, 2008. "Regret in the Newsvendor Model with Partial Information," Operations Research, INFORMS, vol. 56(1), pages 188-203, February.
    2. M. Eric Johnson & Hau L. Lee & Tom Davis & Robert Hall, 1995. "Expressions for item fill rates in periodic inventory systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(1), pages 57-80, February.
    3. Bichescu, Bogdan C. & Fry, Michael J., 2009. "A numerical analysis of supply chain performance under split decision rights," Omega, Elsevier, vol. 37(2), pages 358-379, April.
    4. Biyu He & Franklin Dexter & Alex Macario & Stefanos Zenios, 2012. "The Timing of Staffing Decisions in Hospital Operating Rooms: Incorporating Workload Heterogeneity into the Newsvendor Problem," Manufacturing & Service Operations Management, INFORMS, vol. 14(1), pages 99-114, January.
    5. Nilsen, Jeffrey, 2013. "Delayed production and raw materials inventory under uncertainty," International Journal of Production Economics, Elsevier, vol. 146(1), pages 337-345.
    6. Lengu, D. & Syntetos, A.A. & Babai, M.Z., 2014. "Spare parts management: Linking distributional assumptions to demand classification," European Journal of Operational Research, Elsevier, vol. 235(3), pages 624-635.
    7. Tee, Yeu-San & Rossetti, Manuel D., 2002. "A robustness study of a multi-echelon inventory model via simulation," International Journal of Production Economics, Elsevier, vol. 80(3), pages 265-277, December.
    8. Heuts, R.M.J. & van Lieshout, J.T.H.C. & Baken, K., 1986. "An inventory model : What is the influence of the shape of the lead time demand distribution?," Research Memorandum FEW 205, Tilburg University, School of Economics and Management.
    9. Yufei Ren & David Croson & Rachel Croson, 2017. "The overconfident newsvendor," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(5), pages 496-506, May.
    10. Konur, Dinçer & Campbell, James F. & Monfared, Sepideh A., 2017. "Economic and environmental considerations in a stochastic inventory control model with order splitting under different delivery schedules among suppliers," Omega, Elsevier, vol. 71(C), pages 46-65.
    11. Alp Akcay & Bahar Biller & Sridhar Tayur, 2011. "Improved Inventory Targets in the Presence of Limited Historical Demand Data," Manufacturing & Service Operations Management, INFORMS, vol. 13(3), pages 297-309, July.
    12. Anne E. Lordahl & James H. Bookbinder, 1994. "Order‐statistic calculation, costs, and service in an (s, Q) inventory system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(1), pages 81-97, February.
    13. Heuts, R.M.J. & van Lieshout, J.T.H.C. & Baken, K., 1986. "An inventory model : What is the influence of the shape of the lead time demand distribution?," Other publications TiSEM a72f9e6b-aecb-4355-b4dc-8, Tilburg University, School of Economics and Management.
    14. Vernimmen, Bert & Dullaert, Wout & Willemé, Peter & Witlox, Frank, 2008. "Using the inventory-theoretic framework to determine cost-minimizing supply strategies in a stochastic setting," International Journal of Production Economics, Elsevier, vol. 115(1), pages 248-259, September.
    15. Rossetti, Manuel D. & Yasin Ünlü, 2011. "Evaluating the robustness of lead time demand models," International Journal of Production Economics, Elsevier, vol. 134(1), pages 159-176, November.
    16. Hon‐Shiang Lau & Amy Hing‐Ling Lau, 2003. "Nonrobustness of the normal approximation of lead‐time demand in a (Q, R) system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(2), pages 149-166, March.
    17. Peng Hu & Stephen Shum & Man Yu, 2016. "Joint Inventory and Markdown Management for Perishable Goods with Strategic Consumer Behavior," Operations Research, INFORMS, vol. 64(1), pages 118-134, February.
    18. Chan, Chi Kin & Fang, Fei & Langevin, André, 2018. "Single-vendor multi-buyer supply chain coordination with stochastic demand," International Journal of Production Economics, Elsevier, vol. 206(C), pages 110-133.
    19. John E. Tyworth & Liam O'Neill, 1997. "Robustness of the normal approximation of lead‐time demand in a distribution setting," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(2), pages 165-186, March.

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