IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v239y2014i3p802-809.html
   My bibliography  Save this article

The stochastic ordering of mean-preserving transformations and its applications

Author

Listed:
  • Zhu, Wanshan
  • Wu, Zhengping

Abstract

The stochastic variability measures the degree of uncertainty for random demand and/or price in various operations problems. Its ordering property under mean-preserving transformation allows us to study the impact of demand/price uncertainty on the optimal decisions and the associated objective values. Based on Chebyshev’s algebraic inequality, we provide a general framework for stochastic variability ordering under any mean-preserving transformation that can be parameterized by a single scalar, and apply it to a broad class of specific transformations, including the widely used mean-preserving affine transformation, truncation, and capping. The application to mean-preserving affine transformation rectifies an incorrect proof of an important result in the inventory literature, which has gone unnoticed for more than two decades. The application to mean-preserving truncation addresses inventory strategies in decentralized supply chains, and the application to mean-preserving capping sheds light on using option contracts for procurement risk management.

Suggested Citation

  • Zhu, Wanshan & Wu, Zhengping, 2014. "The stochastic ordering of mean-preserving transformations and its applications," European Journal of Operational Research, Elsevier, vol. 239(3), pages 802-809.
    • Handle: RePEc:eee:ejores:v:239:y:2014:i:3:p:802-809
    DOI: 10.1016/j.ejor.2014.06.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221714005001
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2014.06.017?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Venu Nagali & Jerry Hwang & David Sanghera & Matt Gaskins & Mark Pridgen & Tim Thurston & Patty Mackenroth & Dwight Branvold & Patrick Scholler & Greg Shoemaker, 2008. "Procurement Risk Management (PRM) at Hewlett-Packard Company," Interfaces, INFORMS, vol. 38(1), pages 51-60, February.
    2. Wu, D. J. & Kleindorfer, P. R. & Zhang, Jin E., 2002. "Optimal bidding and contracting strategies for capital-intensive goods," European Journal of Operational Research, Elsevier, vol. 137(3), pages 657-676, March.
    3. Nyoman Pujawan, I, 2004. "The effect of lot sizing rules on order variability," European Journal of Operational Research, Elsevier, vol. 159(3), pages 617-635, December.
    4. Gerchak, Yigal & Parlar, Mahmut, 1991. "Investing in reducing lead-time randomness in continuous-review inventory models," Engineering Costs and Production Economics, Elsevier, vol. 21(2), pages 191-197, May.
    5. Chung-Yee Lee & Xi Li & Yapeng Xie, 2013. "Procurement risk management using capacitated option contracts with fixed ordering costs," IISE Transactions, Taylor & Francis Journals, vol. 45(8), pages 845-864.
    6. Yigal Gerchak & David Mossman, 1992. "On the Effect of Demand Randomness on Inventories and Costs," Operations Research, INFORMS, vol. 40(4), pages 804-807, August.
    7. Qi Fu & Chung-Yee Lee & Chung-Piaw Teo, 2010. "Procurement management using option contracts: random spot price and the portfolio effect," IISE Transactions, Taylor & Francis Journals, vol. 42(11), pages 793-811.
    8. Lucy Gongtao Chen & Srinagesh Gavirneni, 2010. "Using Scheduled Ordering to Improve the Performance of Distribution Supply Chains," Management Science, INFORMS, vol. 56(9), pages 1615-1632, September.
    9. Serel, Dogan A. & Dada, Maqbool & Moskowitz, Herbert, 2001. "Sourcing decisions with capacity reservation contracts," European Journal of Operational Research, Elsevier, vol. 131(3), pages 635-648, June.
    10. Seifert, Ralf W. & Thonemann, Ulrich W. & Hausman, Warren H., 2004. "Optimal procurement strategies for online spot markets," European Journal of Operational Research, Elsevier, vol. 152(3), pages 781-799, February.
    11. Ananth V. Iyer & Apurva Jain, 2003. "The Logistics Impact of a Mixture of Order-Streams in a Manufacturer-Retailer System," Management Science, INFORMS, vol. 49(7), pages 890-906, July.
    12. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    13. Osman Alp & Nesim K. Erkip & Refik Güllü, 2003. "Outsourcing Logistics: Designing Transportation Contracts Between a Manufacturer and a Transporter," Transportation Science, INFORMS, vol. 37(1), pages 23-39, February.
    14. Vipul Agrawal & Sridhar Seshadri, 2000. "Impact of Uncertainty and Risk Aversion on Price and Order Quantity in the Newsvendor Problem," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 410-423, July.
    15. Garcia Salcedo, Carlos Andres & Ibeas Hernandez, Asier & Vilanova, Ramón & Herrera Cuartas, Jorge, 2013. "Inventory control of supply chains: Mitigating the bullwhip effect by centralized and decentralized Internal Model Control approaches," European Journal of Operational Research, Elsevier, vol. 224(2), pages 261-272.
    16. Jing-Sheng Song & Candace A. Yano & Panupol Lerssrisuriya, 2000. "Contract Assembly: Dealing with Combined Supply Lead Time and Demand Quantity Uncertainty," Manufacturing & Service Operations Management, INFORMS, vol. 2(3), pages 287-296, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Awi Federgruen & Zhe Liu & Lijian Lu, 2022. "Dual sourcing: Creating and utilizing flexible capacities with a second supply source," Production and Operations Management, Production and Operations Management Society, vol. 31(7), pages 2789-2805, July.
    2. Xing, Wei & Liu, Liming & Wang, Shouyang, 2014. "More than a second channel? Supply chain strategies in B2B spot markets," European Journal of Operational Research, Elsevier, vol. 239(3), pages 699-710.
    3. Karl Inderfurth & Peter Kelle & Rainer Kleber, 2011. "Dual Sourcing Using Capacity Reservation and Spot Market: Optimal Procurement Policy and Heuristic Parameter Determination," FEMM Working Papers 110014, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    4. Xing, Wei & Wang, Shouyang & Liu, Liming, 2012. "Optimal ordering and pricing strategies in the presence of a B2B spot market," European Journal of Operational Research, Elsevier, vol. 221(1), pages 87-98.
    5. Xu, Jinpeng & Feng, Gengzhong & Jiang, Wei & Wang, Shouyang, 2015. "Optimal procurement of long-term contracts in the presence of imperfect spot market," Omega, Elsevier, vol. 52(C), pages 42-52.
    6. Edward Anderson & Bo Chen & Lusheng Shao, 2017. "Supplier Competition with Option Contracts for Discrete Blocks of Capacity," Operations Research, INFORMS, vol. 65(4), pages 952-967, August.
    7. Inderfurth, Karl & Kelle, Peter & Kleber, Rainer, 2013. "Dual sourcing using capacity reservation and spot market: Optimal procurement policy and heuristic parameter determination," European Journal of Operational Research, Elsevier, vol. 225(2), pages 298-309.
    8. Jiarong Luo & Xu Chen & Chong Wang & Gaoxun Zhang, 2021. "Bidirectional options in random yield supply chains with demand and spot price uncertainty," Annals of Operations Research, Springer, vol. 302(1), pages 211-230, July.
    9. Cuihong Li & Laurens G. Debo, 2009. "Second Sourcing vs. Sole Sourcing with Capacity Investment and Asymmetric Information," Manufacturing & Service Operations Management, INFORMS, vol. 11(3), pages 448-470, July.
    10. Wu, Xiaole & Kouvelis, Panos & Matsuo, Hirofumi & Sano, Hiroki, 2014. "Horizontal coordinating contracts in the semiconductor industry," European Journal of Operational Research, Elsevier, vol. 237(3), pages 887-897.
    11. Jain, Tarun & Hazra, Jishnu, 2017. "Dual sourcing under suppliers' capacity investments," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 103-115.
    12. Oliveira, Fernando S., 2017. "Strategic procurement in spot and forward markets considering regulation and capacity constraints," European Journal of Operational Research, Elsevier, vol. 261(2), pages 540-548.
    13. Merzifonluoglu, Yasemin, 2015. "Risk averse supply portfolio selection with supply, demand and spot market volatility," Omega, Elsevier, vol. 57(PA), pages 40-53.
    14. Spinler, Stefan & Huchzermeier, Arnd, 2006. "The valuation of options on capacity with cost and demand uncertainty," European Journal of Operational Research, Elsevier, vol. 171(3), pages 915-934, June.
    15. Jiarong Luo & Xu Chen, 2017. "Risk hedging via option contracts in a random yield supply chain," Annals of Operations Research, Springer, vol. 257(1), pages 697-719, October.
    16. Feng, Yi & Mu, Yinping & Hu, Benyong & Kumar, Arun, 2014. "Commodity options purchasing and credit financing under capital constraint," International Journal of Production Economics, Elsevier, vol. 153(C), pages 230-237.
    17. Chung‐Yee Lee & Xi Li & Mingzhu Yu, 2015. "The loss‐averse newsvendor problem with supply options," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(1), pages 46-59, February.
    18. Merzifonluoglu, Yasemin, 2017. "Integrated demand and procurement portfolio management with spot market volatility and option contracts," European Journal of Operational Research, Elsevier, vol. 258(1), pages 181-192.
    19. Chong Wang & Xu Chen, 2017. "Option pricing and coordination in the fresh produce supply chain with portfolio contracts," Annals of Operations Research, Springer, vol. 248(1), pages 471-491, January.
    20. Li, Jianbin & Luo, Xiaomeng & Wang, Qifei & Zhou, Weihua, 2021. "Supply chain coordination through capacity reservation contract and quantity flexibility contract," Omega, Elsevier, vol. 99(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:239:y:2014:i:3:p:802-809. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.