IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v61y2010i4d10.1057_jors.2009.4.html
   My bibliography  Save this article

A compromise solution approach for finding common weights in DEA: an improvement to Kao and Hung's approach

Author

Listed:
  • M Zohrehbandian

    (Islamic Azad University – Karaj Branch)

  • A Makui

    (Iran University of Science & Technology)

  • A Alinezhad

    (Islamic Azad University – Qazvin Branch)

Abstract

Data envelopment analysis (DEA) is the leading technique for measuring the relative efficiency of decision-making units (DMUs) on the basis of multiple inputs and multiple outputs. In this technique, the weights for inputs and outputs are estimated in the best advantage for each unit so as to maximize its relative efficiency. But, this flexibility in selecting the weights deters the comparison among DMUs on a common base. For dealing with this difficulty, Kao and Hung (2005) proposed a compromise solution approach for generating common weights under the DEA framework. The proposed multiple criteria decision-making (MCDM) model was derived from the original non-linear DEA model. This paper presents an improvement to Kao and Hung's approach by means of introducing an MCDM model which is derived from a new linear DEA model.

Suggested Citation

  • M Zohrehbandian & A Makui & A Alinezhad, 2010. "A compromise solution approach for finding common weights in DEA: an improvement to Kao and Hung's approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(4), pages 604-610, April.
    • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:4:d:10.1057_jors.2009.4
    DOI: 10.1057/jors.2009.4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/jors.2009.4
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1057/jors.2009.4?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. Tarja Joro & Pekka Korhonen & Jyrki Wallenius, 1998. "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming," Management Science, INFORMS, vol. 44(7), pages 962-970, July.
    2. 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.
    3. D Bouyssou, 1999. "Using DEA as a tool for MCDM: some remarks," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(9), pages 974-978, September.
    4. V V Podinovski, 2001. "Validating absolute weight bounds in Data Envelopment Analysis (DEA) models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(2), pages 221-225, February.
    5. Wade D. Cook & Moshe Kress, 1990. "A Data Envelopment Model for Aggregating Preference Rankings," Management Science, INFORMS, vol. 36(11), pages 1302-1310, November.
    6. M P Estellita Lins & L Angulo-Meza & A C Moreira Da Silva, 2004. "A multi-objective approach to determine alternative targets in data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(10), pages 1090-1101, October.
    7. R. Allen & A. Athanassopoulos & R.G. Dyson & E. Thanassoulis, 1997. "Weights restrictions and value judgements in Data Envelopment Analysis: Evolution, development and future directions," Annals of Operations Research, Springer, vol. 73(0), pages 13-34, October.
    8. Li, Xiao-Bai & Reeves, Gary R., 1999. "A multiple criteria approach to data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 115(3), pages 507-517, June.
    9. W. Cooper & Shanling Li & L. Seiford & Kaoru Tone & R. Thrall & J. Zhu, 2001. "Sensitivity and Stability Analysis in DEA: Some Recent Developments," Journal of Productivity Analysis, Springer, vol. 15(3), pages 217-246, May.
    10. Roll, Y & Golany, B., 1993. "Alternate methods of treating factor weights in DEA," Omega, Elsevier, vol. 21(1), pages 99-109, January.
    11. C Kao & H-T Hung, 2005. "Data envelopment analysis with common weights: the compromise solution approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(10), pages 1196-1203, October.
    12. Francisco Pedraja-Chaparro & Javier Salinas-Jimenez & Peter Smith, 1997. "On the Role of Weight Restrictions in Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 8(2), pages 215-230, May.
    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. Helmi Hammami & Thanh Ngo & David Tripe & Dinh-Tri Vo, 2022. "Ranking with a Euclidean common set of weights in data envelopment analysis: with application to the Eurozone banking sector," Annals of Operations Research, Springer, vol. 311(2), pages 675-694, April.
    2. Mai, Nhat Chi, 2015. "Efficiency of the banking system in Vietnam under financial liberalization," OSF Preprints qsf6d, Center for Open Science.
    3. Sebastián Lozano & Narges Soltani & Akram Dehnokhalaji, 2020. "A compromise programming approach for target setting in DEA," Annals of Operations Research, Springer, vol. 288(1), pages 363-390, May.
    4. Paola Cappanera & Filippo Visintin & Carlo Banditori, 2018. "Addressing conflicting stakeholders’ priorities in surgical scheduling by goal programming," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 252-271, June.
    5. Qing Wang & Zhaojun Liu & Yang Zhang, 2017. "A Novel Weighting Method for Finding Common Weights in DEA," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(05), pages 1-21, October.
    6. Marianela Carrillo & Jesús M. Jorge, 2017. "DEA-Like Efficiency Ranking of Regional Health Systems in Spain," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 133(3), pages 1133-1149, September.
    7. Jie Wu & Junfei Chu & Qingyuan Zhu & Pengzhen Yin & Liang Liang, 2016. "DEA cross-efficiency evaluation based on satisfaction degree: an application to technology selection," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 5990-6007, October.
    8. Hamid Kiaei & Reza Kazemi Matin, 2022. "New common set of weights method in black-box and two-stage data envelopment analysis," Annals of Operations Research, Springer, vol. 309(1), pages 143-162, February.
    9. Arabmaldar, Aliasghar & Sahoo, Biresh K. & Ghiyasi, Mojtaba, 2023. "A generalized robust data envelopment analysis model based on directional distance function," European Journal of Operational Research, Elsevier, vol. 311(2), pages 617-632.
    10. Amin Mahmoudi & Mehdi Abbasi & Xiaopeng Deng, 2022. "Evaluating the Performance of the Suppliers Using Hybrid DEA-OPA Model: A Sustainable Development Perspective," Group Decision and Negotiation, Springer, vol. 31(2), pages 335-362, April.
    11. Omrani, Hashem & Valipour, Mahsa & Jafari Mamakani, Saeid, 2019. "Construct a composite indicator based on integrating Common Weight Data Envelopment Analysis and principal component analysis models: An application for finding development degree of provinces in Iran," Socio-Economic Planning Sciences, Elsevier, vol. 68(C).
    12. Hatami-Marbini, Adel & Arabmaldar, Aliasghar, 2021. "Robustness of Farrell cost efficiency measurement under data perturbations: Evidence from a US manufacturing application," European Journal of Operational Research, Elsevier, vol. 295(2), pages 604-620.
    13. Cristina Bernini & Andrea Guizzardi & Giovanni Angelini, 2013. "DEA-Like Model and Common Weights Approach for the Construction of a Subjective Community Well-Being Indicator," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 114(2), pages 405-424, November.
    14. Afsharian, Mohsen & Ahn, Heinz & Harms, Sören Guntram, 2021. "A review of DEA approaches applying a common set of weights: The perspective of centralized management," European Journal of Operational Research, Elsevier, vol. 294(1), pages 3-15.
    15. Omid Valizadeh & Mojtaba Ghiyasi, 2023. "Assessing telecommunication contractor firms using a hybrid DEA-BWM method," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(4), pages 189-200.
    16. Omrani, Hashem & Valipour, Mahsa & Emrouznejad, Ali, 2021. "A novel best worst method robust data envelopment analysis: Incorporating decision makers’ preferences in an uncertain environment," Operations Research Perspectives, Elsevier, vol. 8(C).
    17. Mohsen Afsharian & Heinz Ahn, 2017. "Multi-period productivity measurement under centralized management with an empirical illustration to German saving banks," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(3), pages 881-911, July.
    18. Kim, Nam Hyok & He, Feng & Kwon, O Chol, 2023. "Combining common-weights DEA window with the Malmquist index: A case of China’s iron and steel industry," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).

    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. G R Jahanshahloo & M Zohrehbandian & A Alinezhad & S Abbasian Naghneh & H Abbasian & R Kiani Mavi, 2011. "Finding common weights based on the DM's preference information," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1796-1800, October.
    2. Y-W Chen & M Larbani & Y-P Chang, 2009. "Multiobjective data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(11), pages 1556-1566, November.
    3. Lobo, Maria Stella de Castro & Estellita Lins, Marcos Pereira & Rodrigues, Henrique de Castro & Soares, Gabriel Martins, 2022. "Planning feasible and efficient operational scenarios for a university hospital through multimethodology," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    4. Ströhl, Florian & Borsch, Erik & Souren, Rainer, 2018. "Integration von Gewichtsrestriktionen in das DEA-Modell nach Charnes, Cooper und Rhodes: Exemplarische Optionen und Auswirkungen," Ilmenauer Schriften zur Betriebswirtschaftslehre, Technische Universität Ilmenau, Institut für Betriebswirtschaftslehre, volume 3, number 32018.
    5. Santos, Sérgio P. & Belton, Valerie & Howick, Susan & Pilkington, Martin, 2018. "Measuring organisational performance using a mix of OR methods," Technological Forecasting and Social Change, Elsevier, vol. 131(C), pages 18-30.
    6. Rezaeiani, M.J. & Foroughi, A.A., 2018. "Ranking efficient decision making units in data envelopment analysis based on reference frontier share," European Journal of Operational Research, Elsevier, vol. 264(2), pages 665-674.
    7. Afsharian, Mohsen & Ahn, Heinz & Harms, Sören Guntram, 2021. "A review of DEA approaches applying a common set of weights: The perspective of centralized management," European Journal of Operational Research, Elsevier, vol. 294(1), pages 3-15.
    8. I. Contreras & S. Lozano & M. A. Hinojosa, 2021. "A bargaining approach to determine common weights in DEA," Operational Research, Springer, vol. 21(3), pages 2181-2201, September.
    9. Adler, Nicole & Friedman, Lea & Sinuany-Stern, Zilla, 2002. "Review of ranking methods in the data envelopment analysis context," European Journal of Operational Research, Elsevier, vol. 140(2), pages 249-265, July.
    10. William W. Cooper & Kyung Sam Park & Gang Yu, 2001. "An Illustrative Application of Idea (Imprecise Data Envelopment Analysis) to a Korean Mobile Telecommunication Company," Operations Research, INFORMS, vol. 49(6), pages 807-820, December.
    11. Kim, Nam Hyok & He, Feng & Kwon, O Chol, 2023. "Combining common-weights DEA window with the Malmquist index: A case of China’s iron and steel industry," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).
    12. Ramón, Nuria & Ruiz, José L. & Sirvent, Inmaculada, 2010. "A multiplier bound approach to assess relative efficiency in DEA without slacks," European Journal of Operational Research, Elsevier, vol. 203(1), pages 261-269, May.
    13. Kao, Chiang & Hung, Hsi-Tai, 2008. "Efficiency analysis of university departments: An empirical study," Omega, Elsevier, vol. 36(4), pages 653-664, August.
    14. Nikolaos Oikonomou & Yannis Tountas & Argiris Mariolis & Kyriakos Souliotis & Kostas Athanasakis & John Kyriopoulos, 2016. "Measuring the efficiency of the Greek rural primary health care using a restricted DEA model; the case of southern and western Greece," Health Care Management Science, Springer, vol. 19(4), pages 313-325, December.
    15. Podinovski, V. V., 2004. "Suitability and redundancy of non-homogeneous weight restrictions for measuring the relative efficiency in DEA," European Journal of Operational Research, Elsevier, vol. 154(2), pages 380-395, April.
    16. L Cherchye & W Moesen & N Rogge & T Van Puyenbroeck & M Saisana & A Saltelli & R Liska & S Tarantola, 2008. "Creating composite indicators with DEA and robustness analysis: the case of the Technology Achievement Index," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(2), pages 239-251, February.
    17. Tommaso Agasisti & Giuseppe Munda & Ralph Hippe, 2019. "Measuring the efficiency of European education systems by combining Data Envelopment Analysis and Multiple-Criteria Evaluation," Journal of Productivity Analysis, Springer, vol. 51(2), pages 105-124, June.
    18. Halme, Merja & Korhonen, Pekka, 2000. "Restricting weights in value efficiency analysis," European Journal of Operational Research, Elsevier, vol. 126(1), pages 175-188, October.
    19. Hatefi, S.M. & Torabi, S.A., 2010. "A common weight MCDA-DEA approach to construct composite indicators," Ecological Economics, Elsevier, vol. 70(1), pages 114-120, November.
    20. Oliveira, Renata & Zanella, Andreia & Camanho, Ana S., 2019. "The assessment of corporate social responsibility: The construction of an industry ranking and identification of potential for improvement," European Journal of Operational Research, Elsevier, vol. 278(2), pages 498-513.

    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:pal:jorsoc:v:61:y:2010:i:4:d:10.1057_jors.2009.4. 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.palgrave-journals.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.