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How Larger Demand Variability May Lead to Lower Costs in the Newsvendor Problem

Author

Listed:
  • Ad Ridder

    (Vrije Universiteit Amsterdam, Amsterdam, The Netherlands)

  • Erwin van der Laan

    (Erasmus Universiteit Rotterdam, Rotterdam, The Netherlands)

  • Marc Salomon

    (Tilburg University, Tilburg, The Netherlands)

Abstract

In this paper we consider the Newsvendor Problem. Intuition may lead to the hypothesis that in this stochastic inventory problem a higher demand variability results in larger variances and in higher costs. In a recent paper, Song (1994a) has proved that the intuition is correct for many demand distributions that are commonly used in practice, such as for the normal distribution function. However, this paper shows that there exist demand distributions for which the intuition is misleading, i.e., for which larger variances occur in combination with lower costs. To characterize these demand distributions we use stochastic dominance relations.

Suggested Citation

  • Ad Ridder & Erwin van der Laan & Marc Salomon, 1998. "How Larger Demand Variability May Lead to Lower Costs in the Newsvendor Problem," Operations Research, INFORMS, vol. 46(6), pages 934-936, December.
    • Handle: RePEc:inm:oropre:v:46:y:1998:i:6:p:934-936
    DOI: 10.1287/opre.46.6.934
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    Cited by:

    1. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
    2. Khanra, Avijit & Soman, Chetan, 2013. "Sensitivity Analysis of the Newsboy Model," IIMA Working Papers WP2013-09-03, Indian Institute of Management Ahmedabad, Research and Publication Department.
    3. Sévi, Benoît, 2010. "The newsvendor problem under multiplicative background risk," European Journal of Operational Research, Elsevier, vol. 200(3), pages 918-923, February.
    4. Jammernegg, Werner & Kischka, Peter, 2009. "Risk preferences and robust inventory decisions," International Journal of Production Economics, Elsevier, vol. 118(1), pages 269-274, March.
    5. Philip C. Jones & Timothy J. Lowe & Rodney D. Traub & Greg Kegler, 2001. "Matching Supply and Demand: The Value of a Second Chance in Producing Hybrid Seed Corn," Manufacturing & Service Operations Management, INFORMS, vol. 3(2), pages 122-137, April.
    6. Xu, Minghui & Lu, Ye, 2013. "The effect of supply uncertainty in price-setting newsvendor models," European Journal of Operational Research, Elsevier, vol. 227(3), pages 423-433.
    7. Jing-Sheng Song & Hanqin Zhang & Yumei Hou & Mingzheng Wang, 2010. "The Effect of Lead Time and Demand Uncertainties in ( r, q ) Inventory Systems," Operations Research, INFORMS, vol. 58(1), pages 68-80, February.
    8. Ewing, Bradley T. & Thompson, Mark A., 2008. "Industrial production, volatility, and the supply chain," International Journal of Production Economics, Elsevier, vol. 115(2), pages 553-558, October.
    9. Shaojian Qu & Yongyi Zhou, 2017. "A Study of The Effect of Demand Uncertainty for Low-Carbon Products Using a Newsvendor Model," IJERPH, MDPI, vol. 14(11), pages 1-24, October.
    10. Fleischhacker, Adam J. & Fok, Pak-Wing, 2015. "On the relationship between entropy, demand uncertainty, and expected loss," European Journal of Operational Research, Elsevier, vol. 245(2), pages 623-628.
    11. Kostas Bimpikis & Mihalis G. Markakis, 2016. "Inventory Pooling Under Heavy-Tailed Demand," Management Science, INFORMS, vol. 62(6), pages 1800-1813, June.
    12. Halkos, George & Kevork, Ilias, 2012. "Evaluating alternative estimators for optimal order quantities in the newsvendor model with skewed demand," MPRA Paper 36205, University Library of Munich, Germany.
    13. William L. Cooper & Diwakar Gupta, 2006. "Stochastic Comparisons in Airline Revenue Management," Manufacturing & Service Operations Management, INFORMS, vol. 8(3), pages 221-234, February.
    14. Jemai, Zied & Karaesmen, Fikri, 2005. "The influence of demand variability on the performance of a make-to-stock queue," European Journal of Operational Research, Elsevier, vol. 164(1), pages 195-205, July.
    15. Minner, Stefan & Transchel, Sandra, 2017. "Order variability in perishable product supply chains," European Journal of Operational Research, Elsevier, vol. 260(1), pages 93-107.
    16. Diwakar Gupta & William L. Cooper, 2005. "Stochastic Comparisons in Production Yield Management," Operations Research, INFORMS, vol. 53(2), pages 377-384, April.
    17. Sachs, Anna-Lena & Minner, Stefan, 2014. "The data-driven newsvendor with censored demand observations," International Journal of Production Economics, Elsevier, vol. 149(C), pages 28-36.
    18. Xu, Minghui & Chen, Youhua (Frank) & Xu, Xiaolin, 2010. "The effect of demand uncertainty in a price-setting newsvendor model," European Journal of Operational Research, Elsevier, vol. 207(2), pages 946-957, December.
    19. Qi Feng & J. George Shanthikumar, 2022. "Applications of Stochastic Orders and Stochastic Functions in Inventory and Pricing Problems," Production and Operations Management, Production and Operations Management Society, vol. 31(4), pages 1433-1453, April.
    20. Chung, Chia-Shin & Flynn, James & Kuik, Roelof & Staliński, Piotr, 2013. "A single-period inventory placement problem for a supply system with the satisficing objective," European Journal of Operational Research, Elsevier, vol. 224(3), pages 520-529.

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