IDEAS home Printed from https://ideas.repec.org/a/spr/jglopt/v69y2017i3d10.1007_s10898-017-0533-x.html
   My bibliography  Save this article

Virtuous smoothing for global optimization

Author

Listed:
  • Jon Lee

    (University of Michigan)

  • Daphne Skipper

    (U.S. Naval Academy)

Abstract

In the context of global optimization and mixed-integer non-linear programming, generalizing a technique of D’Ambrosio, Fampa, Lee and Vigerske for handling the square-root function, we develop a virtuous smoothing method, using cubics, aimed at functions having some limited non-smoothness. Our results pertain to root functions ( $$w^p$$ w p with $$0

Suggested Citation

  • Jon Lee & Daphne Skipper, 2017. "Virtuous smoothing for global optimization," Journal of Global Optimization, Springer, vol. 69(3), pages 677-697, November.
    • Handle: RePEc:spr:jglopt:v:69:y:2017:i:3:d:10.1007_s10898-017-0533-x
    DOI: 10.1007/s10898-017-0533-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10898-017-0533-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10898-017-0533-x?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. Douglas, Paul H, 1976. "The Cobb-Douglas Production Function Once Again: Its History, Its Testing, and Some New Empirical Values," Journal of Political Economy, University of Chicago Press, vol. 84(5), pages 903-915, October.
    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. Jon Lee & Daphne Skipper & Emily Speakman, 2022. "Gaining or losing perspective," Journal of Global Optimization, Springer, vol. 82(4), pages 835-862, April.

    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. Costa, Marcelo Azevedo & Lopes, Ana Lúcia Miranda & de Pinho Matos, Giordano Bruno Braz, 2015. "Statistical evaluation of Data Envelopment Analysis versus COLS Cobb–Douglas benchmarking models for the 2011 Brazilian tariff revision," Socio-Economic Planning Sciences, Elsevier, vol. 49(C), pages 47-60.
    2. Xu, Xianghui & Chen, Yingshan & Zhou, Yan & Liu, Wuyuan & Zhang, Xinrui & Li, Mo, 2023. "Sustainable management of agricultural water rights trading under uncertainty: An optimization-evaluation framework," Agricultural Water Management, Elsevier, vol. 280(C).
    3. Julien Forder & Florin Vadean & Stacey Rand & Juliette Malley, 2018. "The impact of long‐term care on quality of life," Health Economics, John Wiley & Sons, Ltd., vol. 27(3), pages 43-58, March.
    4. Montresor, Sandro & Vezzani, Antonio, 2015. "The production function of top R&D investors: Accounting for size and sector heterogeneity with quantile estimations," Research Policy, Elsevier, vol. 44(2), pages 381-393.
    5. Roman G. Smirnov & Kunpeng Wang, 2019. "The Cobb-Douglas production function revisited," Papers 1910.06739, arXiv.org, revised Oct 2019.
    6. Bravo-Ureta, Boris E. & Rieger, Laszlo & Quiroga, Ricardo E., 1990. "Fixed Effects and Stochastic Frontier Estimates of Firm-Level Technical Efficiency," 1990 Annual meeting, August 5-8, Vancouver, Canada 270867, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    7. Nie, Pu-yan & Yang, Yong-cong, 2016. "Effects of energy price fluctuations on industries with energy inputs: An application to China," Applied Energy, Elsevier, vol. 165(C), pages 329-334.
    8. Fakhri J. Hasanov & Jeyhun I. Mikayilov & Sabuhi Yusifov & Khatai Aliyev & Samra Talishinskaya, 2019. "The role of social and physical infrastructure spending in tradable and non-tradable growth," Contemporary Economics, University of Economics and Human Sciences in Warsaw., vol. 13(1), March.
    9. Oryani, Bahareh & Koo, Yoonmo & Rezania, Shahabaldin & Shafiee, Afsaneh, 2021. "Investigating the asymmetric impact of energy consumption on reshaping future energy policy and economic growth in Iran using extended Cobb-Douglas production function," Energy, Elsevier, vol. 216(C).
    10. Jesus Felipe & F. Gerard Adams, 2005. ""A Theory of Production" The Estimation of the Cobb-Douglas Function: A Retrospective View," Eastern Economic Journal, Eastern Economic Association, vol. 31(3), pages 427-445, Summer.
    11. Fang, Yinhai & Xu, Haiyan & Perc, Matjaž & Tan, Qingmei, 2019. "Dynamic evolution of economic networks under the influence of mergers and divestitures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 89-99.
    12. Chi, Wei & Qian, Xiaoye, 2013. "Regional disparity of labor's share in China: Evidence and explanation," China Economic Review, Elsevier, vol. 27(C), pages 277-293.
    13. Kolodinsky, Jane M. & Wang, Qingbin & Pelch, Leslie, 1999. "Community Supported Agriculture (Csa): A Hypothesis Test Of Membership Activities And Utility," 1999 Annual meeting, August 8-11, Nashville, TN 21692, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    14. Ferris, Stephen P. & Hanousek, Jan & Tresl, Jiri, 2021. "Corporate profitability and the global persistence of corruption," Journal of Corporate Finance, Elsevier, vol. 66(C).
    15. Zhao, Xiaobing & Du, Ding & Xiong, Jun & Springer, Abraham & Masek Lopez, Sharon R. & Winkler, Blake & Hubler, Kenedy, 2019. "The impact of forest restoration on agriculture in the Verde River watershed, Arizona, USA," Forest Policy and Economics, Elsevier, vol. 109(C).
    16. Dale W. Jorgenson, 1991. "Productivity and Economic Growth," NBER Chapters, in: Fifty Years of Economic Measurement: The Jubilee of the Conference on Research in Income and Wealth, pages 19-118, National Bureau of Economic Research, Inc.
    17. Zefeng Mi & Zhixin Qiu & Gang Zeng & Can Zhou & Lei Ye, 2023. "The innovation effect of low‐carbon technology transfer from the perspective of carbon emission reduction demand: A case study of the Yangtze River Economic Belt in China," Growth and Change, Wiley Blackwell, vol. 54(2), pages 625-648, June.
    18. Jesus Felipe & Franklin M. Fisher, 2003. "Aggregation in Production Functions: What Applied Economists should Know," Metroeconomica, Wiley Blackwell, vol. 54(2‐3), pages 208-262, May.
    19. Stojkoski, Viktor & Kocarev, Ljupco, 2017. "The Relationship Between Growth and Economic Complexity: Evidence from Southeastern and Central Europe," MPRA Paper 77837, University Library of Munich, Germany, revised 2017.
    20. Bruno Wichmann & Roberta Wichmann, 2020. "Nonparametric estimation of a primary care production function in urban Brazil," Health Economics Review, Springer, vol. 10(1), pages 1-10, December.

    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:spr:jglopt:v:69:y:2017:i:3:d:10.1007_s10898-017-0533-x. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.