IDEAS home Printed from https://ideas.repec.org/a/ags/uersja/139022.html
   My bibliography  Save this article

The Deterministic Equivalents of Chance-Constrained Programming

Author

Listed:
  • Kim, C.S.
  • Schaible, Glenn D.
  • Segarra, Eduardo

Abstract

Three concepts combine to show both the feasibility and desirability of incorporating probability within programming models. First, the reliability of estimates obtained by using Chebyshev's inequality increases as variation measured by the coefficient of variation, declines. Second, the coefficient of variation can be substantially reduced by the use of the mean and variance of a truncated normal distribution. Third, chance-constrained programming can be converted into deterministic equivalent quadratic programming by using the parameters of a truncated normal distribution.

Suggested Citation

  • Kim, C.S. & Schaible, Glenn D. & Segarra, Eduardo, 1990. "The Deterministic Equivalents of Chance-Constrained Programming," Journal of Agricultural Economics Research, United States Department of Agriculture, Economic Research Service, vol. 42(2), pages 1-9.
    • Handle: RePEc:ags:uersja:139022
    DOI: 10.22004/ag.econ.139022
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/139022/files/6Kim_42_2.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.22004/ag.econ.139022?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. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    2. John T. Scott & Chester B. Baker, 1972. "A Practical Way to Select an Optimum Farm Plan Under Risk," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 54(4_Part_1), pages 657-660.
    3. Joyce T. Chen, 1973. "Quadratic Programming for Least-Cost Feed Formulations under Probabilistic Protein Constraints," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 55(2), pages 175-183.
    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. Giada Spaccapanico Proietti & Mariagiulia Matteucci & Stefania Mignani & Bernard P. Veldkamp, 2024. "Chance-Constrained Automated Test Assembly," Journal of Educational and Behavioral Statistics, , vol. 49(1), pages 92-120, February.
    2. Matthews, Nicolette & Grove, Bennie, 2015. "Economic-Environmental Trade-offs and the Conservativeness of the Upper Partial Moment," 2015 Conference, August 9-14, 2015, Milan, Italy 212450, International Association of Agricultural Economists.
    3. Athanasios Kampas & Ben White, 2004. "Administrative Costs and Instrument Choice for Stochastic Non-point Source Pollutants," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 27(2), pages 109-133, February.

    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. Giada Spaccapanico Proietti & Mariagiulia Matteucci & Stefania Mignani & Bernard P. Veldkamp, 2024. "Chance-Constrained Automated Test Assembly," Journal of Educational and Behavioral Statistics, , vol. 49(1), pages 92-120, February.
    2. Kliebenstein, James B. & Farthing, Douglas C., 1979. "Impacts of Fuel Pricing and Non-Price Allocation Scenarios On High and Low Risk Crop Producers," 1979 Annual Meeting, July 29-August 1, Pullman, Washington 278181, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. Kliebenstein, James B. & Farthing, Douglas C., 1979. "Impacts of Fuel Pricing and Non-Price Allocation Scenarios On High and Low Risk Crop Producers," 1979 Annual Meeting, July 29-August 1, Pullman, Washington 277840, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    4. Azarnoosh Kafi & Behrouz Daneshian & Mohsen Rostamy-Malkhalifeh, 2021. "Forecasting the confidence interval of efficiency in fuzzy DEA," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 31(1), pages 41-59.
    5. Sander Claeys & Marta Vanin & Frederik Geth & Geert Deconinck, 2021. "Applications of optimization models for electricity distribution networks," Wiley Interdisciplinary Reviews: Energy and Environment, Wiley Blackwell, vol. 10(5), September.
    6. Scott, James & Ho, William & Dey, Prasanta K. & Talluri, Srinivas, 2015. "A decision support system for supplier selection and order allocation in stochastic, multi-stakeholder and multi-criteria environments," International Journal of Production Economics, Elsevier, vol. 166(C), pages 226-237.
    7. Minjiao Zhang & Simge Küçükyavuz & Saumya Goel, 2014. "A Branch-and-Cut Method for Dynamic Decision Making Under Joint Chance Constraints," Management Science, INFORMS, vol. 60(5), pages 1317-1333, May.
    8. Timothy J. Lowe & Paul V. Preckel, 2004. "Decision Technologies for Agribusiness Problems: A Brief Review of Selected Literature and a Call for Research," Manufacturing & Service Operations Management, INFORMS, vol. 6(3), pages 201-208.
    9. Hermann Held, 2019. "Cost Risk Analysis: Dynamically Consistent Decision-Making under Climate Targets," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 72(1), pages 247-261, January.
    10. Shen, Feifei & Zhao, Liang & Wang, Meihong & Du, Wenli & Qian, Feng, 2022. "Data-driven adaptive robust optimization for energy systems in ethylene plant under demand uncertainty," Applied Energy, Elsevier, vol. 307(C).
    11. Wu, Desheng (Dash) & Lee, Chi-Guhn, 2010. "Stochastic DEA with ordinal data applied to a multi-attribute pricing problem," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1679-1688, December.
    12. Odetayo, Babatunde & MacCormack, John & Rosehart, William D. & Zareipour, Hamidreza, 2017. "A sequential planning approach for Distributed generation and natural gas networks," Energy, Elsevier, vol. 127(C), pages 428-437.
    13. Wang, S. & Huang, G.H., 2014. "An integrated approach for water resources decision making under interactive and compound uncertainties," Omega, Elsevier, vol. 44(C), pages 32-40.
    14. Ghazale Kordi & Parsa Hasanzadeh-Moghimi & Mohammad Mahdi Paydar & Ebrahim Asadi-Gangraj, 2023. "A multi-objective location-routing model for dental waste considering environmental factors," Annals of Operations Research, Springer, vol. 328(1), pages 755-792, September.
    15. Kamjoo, Azadeh & Maheri, Alireza & Putrus, Ghanim A., 2014. "Chance constrained programming using non-Gaussian joint distribution function in design of standalone hybrid renewable energy systems," Energy, Elsevier, vol. 66(C), pages 677-688.
    16. Gempesaw, Conrado M., II & Tambe, A.M. & Nayga, Rodolfo M., Jr. & Toensmeyer, Ulrich C., 1988. "The Single Index Market Model In Agriculture," Northeastern Journal of Agricultural and Resource Economics, Northeastern Agricultural and Resource Economics Association, vol. 17(2), pages 1-9, October.
    17. Torres-Rojo, J. M., 2001. "Risk management in the design of a feeding ration: a portfolio theory approach," Agricultural Systems, Elsevier, vol. 68(1), pages 1-20, April.
    18. Jana, R.K. & Sharma, Dinesh K. & Chakraborty, B., 2016. "A hybrid probabilistic fuzzy goal programming approach for agricultural decision-making," International Journal of Production Economics, Elsevier, vol. 173(C), pages 134-141.
    19. Rocchetta, Roberto & Crespo, Luis G., 2021. "A scenario optimization approach to reliability-based and risk-based design: Soft-constrained modulation of failure probability bounds," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    20. Bilsel, R. Ufuk & Ravindran, A., 2011. "A multiobjective chance constrained programming model for supplier selection under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1284-1300, September.

    More about this item

    Keywords

    Production Economics;

    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:ags:uersja:139022. 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: AgEcon Search (email available below). General contact details of provider: https://edirc.repec.org/data/ersgvus.html .

    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.