IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v53y2006i7p617-626.html
   My bibliography  Save this article

The α‐reliable mean‐excess regret model for stochastic facility location modeling

Author

Listed:
  • Gang Chen
  • Mark S. Daskin
  • Zuo‐Jun Max Shen
  • Stanislav Uryasev

Abstract

In this paper, we study a strategic facility location problem under uncertainty. The uncertainty associated with future events is modeled by defining alternative future scenarios with probabilities. We present a new model called the α‐reliable mean‐excess model that minimizes the expected regret with respect to an endogenously selected subset of worst‐case scenarios whose collective probability of occurrence is no more than 1 − α. Our mean‐excess risk measure is coherent and computationally efficient. Computational experiments also show that the α‐reliable mean‐excess criterion matches the α‐reliable minimax criterion closely. © 2006 Wiley Periodicals, Inc. Naval Research Logistics 2006

Suggested Citation

  • Gang Chen & Mark S. Daskin & Zuo‐Jun Max Shen & Stanislav Uryasev, 2006. "The α‐reliable mean‐excess regret model for stochastic facility location modeling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(7), pages 617-626, October.
  • Handle: RePEc:wly:navres:v:53:y:2006:i:7:p:617-626
    DOI: 10.1002/nav.20180
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.20180
    Download Restriction: no

    File URL: https://libkey.io/10.1002/nav.20180?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
    ---><---

    References listed on IDEAS

    as
    1. D Serra & S Ratick & C ReVelle, 1996. "The Maximum Capture Problem with Uncertainty," Environment and Planning B, , vol. 23(1), pages 49-59, February.
    2. Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-824, December.
    3. Current, John & Ratick, Samuel & ReVelle, Charles, 1998. "Dynamic facility location when the total number of facilities is uncertain: A decision analysis approach," European Journal of Operational Research, Elsevier, vol. 110(3), pages 597-609, November.
    4. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    5. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    6. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    7. Zeelenberg, M., 1999. "Anticipated regret, expected feedback and behavioral decision-making," Other publications TiSEM 38371d1b-31fd-45b0-860f-b, Tilburg University, School of Economics and Management.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sabet, Ehsan & Yazdani, Baback & Kian, Ramez & Galanakis, Kostas, 2020. "A strategic and global manufacturing capacity management optimisation model: A Scenario-based multi-stage stochastic programming approach," Omega, Elsevier, vol. 93(C).
    2. Mengshi Lu & Zuo‐Jun Max Shen, 2021. "A Review of Robust Operations Management under Model Uncertainty," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1927-1943, June.
    3. N Görmez & M Köksalan & F S Salman, 2011. "Locating disaster response facilities in Istanbul," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1239-1252, July.
    4. Taymaz, S. & Iyigun, C. & Bayindir, Z.P. & Dellaert, N.P., 2020. "A healthcare facility location problem for a multi-disease, multi-service environment under risk aversion," Socio-Economic Planning Sciences, Elsevier, vol. 71(C).
    5. Zhong, Shaopeng & Cheng, Rong & Jiang, Yu & Wang, Zhong & Larsen, Allan & Nielsen, Otto Anker, 2020. "Risk-averse optimization of disaster relief facility location and vehicle routing under stochastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).

    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. Yuval Rottenstreich & Alex Markle & Johannes Müller-Trede, 2023. "Risky Sure Things," Management Science, INFORMS, vol. 69(8), pages 4707-4720, August.
    2. Baojun Jiang & Chakravarthi Narasimhan & Özge Turut, 2017. "Anticipated Regret and Product Innovation," Management Science, INFORMS, vol. 63(12), pages 4208-4323, December.
    3. Patricia H. Born & E. Tice Sirmans, 2019. "Regret in health insurance post‐purchase behavior," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 22(2), pages 207-219, July.
    4. Corina Birghila & Tim J. Boonen & Mario Ghossoub, 2023. "Optimal insurance under maxmin expected utility," Finance and Stochastics, Springer, vol. 27(2), pages 467-501, April.
    5. Michele Fioretti & Alexander Vostroknutov & Giorgio Coricelli, 2022. "Dynamic Regret Avoidance," American Economic Journal: Microeconomics, American Economic Association, vol. 14(1), pages 70-93, February.
    6. Markus Dertwinkel-Kalt & Mats Köster, 2020. "Salience and Skewness Preferences [Risk-neutral Firms can Extract Unbounded Profits from Consumers with Prospect Theory Preferences]," Journal of the European Economic Association, European Economic Association, vol. 18(5), pages 2057-2107.
    7. Zheng, Jiakun, 2021. "Willingness to pay for reductions in health risks under anticipated regret," Journal of Health Economics, Elsevier, vol. 78(C).
    8. Koehler, Jonathan J. & Gershoff, Andrew D., 2003. "Betrayal aversion: When agents of protection become agents of harm," Organizational Behavior and Human Decision Processes, Elsevier, vol. 90(2), pages 244-261, March.
    9. Davvetas, Vasileios & Diamantopoulos, Adamantios, 2017. "“Regretting your brand-self?” The moderating role of consumer-brand identification on consumer responses to purchase regret," Journal of Business Research, Elsevier, vol. 80(C), pages 218-227.
    10. Özalp Özer & Yanchong Zheng, 2016. "Markdown or Everyday Low Price? The Role of Behavioral Motives," Management Science, INFORMS, vol. 62(2), pages 326-346, February.
    11. Sugden, Robert & Wang, Mengjie & Zizzo, Daniel John, 2019. "Take it or leave it: Experimental evidence on the effect of time-limited offers on consumer behaviour," Journal of Economic Behavior & Organization, Elsevier, vol. 168(C), pages 1-23.
    12. Michenaud, Sébastien & Solnik, Bruno, 2008. "Applying regret theory to investment choices: Currency hedging decisions," Journal of International Money and Finance, Elsevier, vol. 27(5), pages 677-694, September.
    13. Giordani, Paolo E. & Schlag, Karl H. & Zwart, Sanne, 2010. "Decision makers facing uncertainty: Theory versus evidence," Journal of Economic Psychology, Elsevier, vol. 31(4), pages 659-675, August.
    14. Charilaos Mertzanis, 2013. "Risk Management Challenges after the Financial Crisis," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 42(3), pages 285-320, November.
    15. Kuang, Yunjuan & Ng, Chi To, 2018. "Pricing substitutable products under consumer regrets," International Journal of Production Economics, Elsevier, vol. 203(C), pages 286-300.
    16. Larbi Alaoui, 2012. "The value of useless information," Economics Working Papers 1313, Department of Economics and Business, Universitat Pompeu Fabra.
    17. van Dijk, Eric & Zeelenberg, Marcel, 2005. "On the psychology of `if only': Regret and the comparison between factual and counterfactual outcomes," Organizational Behavior and Human Decision Processes, Elsevier, vol. 97(2), pages 152-160, July.
    18. Weber, Bethany J. & Chapman, Gretchen B., 2005. "Playing for peanuts: Why is risk seeking more common for low-stakes gambles?," Organizational Behavior and Human Decision Processes, Elsevier, vol. 97(1), pages 31-46, May.
    19. Bertrand, Philippe & Prigent, Jean-luc, 2019. "On the optimality of path-dependent structured funds: The cost of standardization," European Journal of Operational Research, Elsevier, vol. 277(1), pages 333-350.
    20. Astrid Hopfensitz & Frans Winden, 2008. "Dynamic Choice, Independence and Emotions," Theory and Decision, Springer, vol. 64(2), pages 249-300, March.

    More about this item

    Statistics

    Access and download statistics

    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:wly:navres:v:53:y:2006:i:7:p:617-626. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.