IDEAS home Printed from https://ideas.repec.org/p/ies/wpaper/e201322.html
   My bibliography  Save this paper

Nonparametric cost and revenue functions under constant economies of scale: An enumeration approach for the single output or input case

Author

Listed:
  • Walter Briec

    (LAMPS, Université de Perpignan)

  • Kristiaan Kerstens

    (CNRS-LEM and IESEG School of Management)

  • Ignace Van de Woestyne

    (Hogeschool Universiteit Brussel)

Abstract

This note shows how the linear programs needed to compute cost and revenue functions under constant returns to scale and a single output or input, respectively, can be replaced with a more efficient enumeration algorithm. A numerical example illustrates this algorithm

Suggested Citation

  • Walter Briec & Kristiaan Kerstens & Ignace Van de Woestyne, 2013. "Nonparametric cost and revenue functions under constant economies of scale: An enumeration approach for the single output or input case," Working Papers 2013-ECO-22, IESEG School of Management.
    • Handle: RePEc:ies:wpaper:e201322
    as

    Download full text from publisher

    File URL: http://www.ieseg.fr/wp-content/uploads/2013-ECO-22_kerstens.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. William W. Cooper & Lawrence M. Seiford & Joe Zhu (ed.), 2011. "Handbook on Data Envelopment Analysis," International Series in Operations Research and Management Science, Springer, number 978-1-4419-6151-8, December.
    2. Scott E. Atkinson & Jeffrey H. Dorfman, 2009. "Feasible estimation of firm-specific allocative inefficiency through Bayesian numerical methods," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(4), pages 675-697.
    3. Ray,Subhash C., 2012. "Data Envelopment Analysis," Cambridge Books, Cambridge University Press, number 9781107405264, January.
    4. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    5. de Borger, Bruno & Kerstens, Kristiaan & Staat, Matthias, 2008. "Transit costs and cost efficiency: Bootstrapping non-parametric frontiers," Research in Transportation Economics, Elsevier, vol. 23(1), pages 53-64, January.
    6. William W. Cooper & Lawrence M. Seiford & Joe Zhu, 2011. "Data Envelopment Analysis: History, Models, and Interpretations," International Series in Operations Research & Management Science, in: William W. Cooper & Lawrence M. Seiford & Joe Zhu (ed.), Handbook on Data Envelopment Analysis, chapter 0, pages 1-39, Springer.
    7. Khalil Paryab & Rashed Khanjani Shiraz & Leila Jalalzadeh, 2012. "An Improved Model For Assessing The Fdh-Cost Efficiency," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-5.
    8. Jahanshahloo, G.R. & Soleimani-damaneh, M. & Mostafaee, A., 2008. "A simplified version of the DEA cost efficiency model," European Journal of Operational Research, Elsevier, vol. 184(2), pages 814-815, January.
    9. H. A. Eiselt & C. -L. Sandblom, 2007. "Linear Programming and its Applications," Springer Books, Springer, number 978-3-540-73671-4, June.
    10. Camanho, A. S. & Dyson, R. G., 2005. "Cost efficiency measurement with price uncertainty: a DEA application to bank branch assessments," European Journal of Operational Research, Elsevier, vol. 161(2), pages 432-446, March.
    11. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    12. Ali, Agha Iqbal, 1993. "Streamlined computation for data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 64(1), pages 61-67, January.
    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. Briec, Walter & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2011. "Nonparametric cost and revenue functions under constant economies of scale: A simplification for the single output or input case," Working Papers 2011/12, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
    2. Petridis, Konstantinos & Malesios, Chrisovalantis & Arabatzis, Garyfallos & Thanassoulis, Emmanuel, 2013. "Efficiency analysis of forestry journals: Suggestions for improving journals’ quality," Journal of Informetrics, Elsevier, vol. 7(2), pages 505-521.
    3. Jaime Bonet-Morón & Jhorland Ayala-García, 2016. "La brecha fiscal territorial en Colombia," Documentos de trabajo sobre Economía Regional y Urbana 235, Banco de la Republica de Colombia.
    4. Jaime Bonet‐Morón & Jhorland Ayala‐García, 2020. "The territorial fiscal gap in Colombia," Regional Science Policy & Practice, Wiley Blackwell, vol. 12(1), pages 7-24, February.
    5. Valentin Zelenyuk, 2019. "Data Envelopment Analysis and Business Analytics: The Big Data Challenges and Some Solutions," CEPA Working Papers Series WP072019, School of Economics, University of Queensland, Australia.
    6. Matthias Klumpp & Dominic Loske, 2021. "Sustainability and Resilience Revisited: Impact of Information Technology Disruptions on Empirical Retail Logistics Efficiency," Sustainability, MDPI, vol. 13(10), pages 1-20, May.
    7. Margareta Gardijan & Zrinka Lukač, 2018. "Measuring the relative efficiency of the food and drink industry in the chosen EU countries using the data envelopment analysis with missing data," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(3), pages 695-713, September.
    8. Imanirad, Raha & Cook, Wade D. & Aviles-Sacoto, Sonia Valeria & Zhu, Joe, 2015. "Partial input to output impacts in DEA: The case of DMU-specific impacts," European Journal of Operational Research, Elsevier, vol. 244(3), pages 837-844.
    9. Shaher Z Zahran & Jobair Bin Alam & Abdulrahem H Al-Zahrani & Yiannis Smirlis & Stratos Papadimitriou & Vangelis Tsioumas, 2017. "Analysis of port authority efficiency using data envelopment analysis," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 19(3), pages 518-537, August.
    10. Abbas Mardani & Dalia Streimikiene & Tomas Balezentis & Muhamad Zameri Mat Saman & Khalil Md Nor & Seyed Meysam Khoshnava, 2018. "Data Envelopment Analysis in Energy and Environmental Economics: An Overview of the State-of-the-Art and Recent Development Trends," Energies, MDPI, vol. 11(8), pages 1-21, August.
    11. Aziz KUTLAR & Ali KABASAKAL & Adem BABACAN, 2015. "Dynamic Efficiency of Turkish Banks: a DEA Window and Malmquist Index Analysis for the Period of 2003-2012," Sosyoekonomi Journal, Sosyoekonomi Society, issue 23(24).
    12. Muhammad Nisar Khan & Adnan Ahmad & Noor Jehan, 2018. "Pakistani Firms' Efficiency: An Empirical Study of Pakistan Stock Exchange through Data Envelopment Analysis," Global Social Sciences Review, Humanity Only, vol. 3(3), pages 158-174, September.
    13. Yang Li & An-Chi Liu & Shu-Mei Wang & Yiting Zhan & Jingran Chen & Hsiao-Fen Hsiao, 2022. "A Study of Total-Factor Energy Efficiency for Regional Sustainable Development in China: An Application of Bootstrapped DEA and Clustering Approach," Energies, MDPI, vol. 15(9), pages 1-13, April.
    14. Xuming Wang & Xianrui Yu & Xiaobing Yu, 2022. "Flood Disaster Risk Assessment Based on DEA Model in Southeast Asia along “The Belt and Road”," Sustainability, MDPI, vol. 14(20), pages 1-10, October.
    15. Lim, Sungmook & Zhu, Joe, 2013. "Incorporating performance measures with target levels in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 230(3), pages 634-642.
    16. Aytekin, Ahmet & Ecer, Fatih & Korucuk, Selçuk & Karamaşa, Çağlar, 2022. "Global innovation efficiency assessment of EU member and candidate countries via DEA-EATWIOS multi-criteria methodology," Technology in Society, Elsevier, vol. 68(C).
    17. Khalid Mehmood Alam & Li Xuemei & Saranjam Baig & Li Yadong & Akber Aman Shah, 2020. "Analysis of Technical, Pure Technical and Scale Efficiencies of Pakistan Railways Using Data Envelopment Analysis and Tobit Regression Model," Networks and Spatial Economics, Springer, vol. 20(4), pages 989-1014, December.
    18. Cova-Alonso, David José & Díaz-Hernández, Juan José & Martínez-Budría, Eduardo, 2021. "A strong efficiency measure for CCR/BCC models," European Journal of Operational Research, Elsevier, vol. 291(1), pages 284-295.
    19. Chebil, Ali & Frija, Iheb & Bahri, Walid, 2014. "Irrigation water efficiency in wheat production in Chbika (Tunisia):Parametric versus Nonparametric Comparisons," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 15(1), pages 1-14.
    20. Mª Isabel Ortega-Díaz & Ricardo Ocaña-Riola & Carmen Pérez-Romero & José Jesús Martín-Martín, 2020. "Multilevel Analysis of the Relationship between Ownership Structure and Technical Efficiency Frontier in the Spanish National Health System Hospitals," IJERPH, MDPI, vol. 17(16), pages 1-19, August.

    More about this item

    Keywords

    nonparametric cost and revenue functions; enumeration; linear programming;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ies:wpaper:e201322. 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: Lies BOUTEN (email available below). General contact details of provider: https://edirc.repec.org/data/iesegfr.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.