IDEA and AR-IDEA: Models for Dealing with Imprecise Data in DEA
AbstractData Envelopment Analysis (DEA) is a nonparametric approach to evaluating the relative efficiency of decision making units (DMUs) that use multiple inputs to produce multiple outputs. An assumption underlying DEA is that all the data assume the form of specific numerical values. In some applications, however, the data may be imprecise. For instance, some of the data may be known only within specified bounds, while other data may be known only in terms of ordinal relations. DEA with imprecise data or, more compactly, the Imprecise Data Envelopment Analysis (IDEA) method developed in this paper permits mixtures of imprecisely- and exactly-known data, which the IDEA models transform into ordinary linear programming forms. This is carried even further in the present paper to comprehend the now extensively employed Assurance Region (AR) concepts in which bounds are placed on the variables rather than the data. We refer to this approach as AR-IDEA, because it replaces conditions on the variables with transformations of the data and thus also aligns the developments we describe in this paper with what are known as cone-ratio envelopments in DEA. As a result, one unified approach, referred to as the AR-IDEA model, is achieved which includes not only imprecise data capabilities but also assurance region and cone-ratio envelopment concepts.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by INFORMS in its journal Management Science.
Volume (Year): 45 (1999)
Issue (Month): 4 (April)
DEA efficiency; imprecise data; assurance regions;
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Hanappi, Hardy, 2008. "On the Nature of Knowledge: An evolutionary perspective," MPRA Paper 27615, University Library of Munich, Germany.
- O. Olesen, 2006. "Comparing and Combining Two Approaches for Chance Constrained DEA," Journal of Productivity Analysis, Springer, vol. 26(2), pages 103-119, October.
- Dong-hyun Oh & Hans Loof & Almas Heshmati, 2009.
"The Icelandic Economy: A Victim of the Financial Crisis or Simply Inefficient?,"
TEMEP Discussion Papers
200916, Seoul National University; Technology Management, Economics, and Policy Program (TEMEP), revised Sep 2009.
- Oh, Dong-Hyun & Lööf, Hans & Heshmati, Almas, 2009. "The Icelandic Economy: a victim of the financial crisis or simply inefficient?," Working Paper Series in Economics and Institutions of Innovation 199, Royal Institute of Technology, CESIS - Centre of Excellence for Science and Innovation Studies.
- Banker, Rajiv D. & Cooper, William W. & Seiford, Lawrence M. & Thrall, Robert M. & Zhu, Joe, 2004. "Returns to scale in different DEA models," European Journal of Operational Research, Elsevier, vol. 154(2), pages 345-362, April.
- Sowlati, Taraneh & Paradi, Joseph C., 2004. "Establishing the "practical frontier" in data envelopment analysis," Omega, Elsevier, vol. 32(4), pages 261-272, August.
- Fernández Carazo, Ana & Gómez Núñez, Trinidad & Guerrero Casas, Flor M. & Caballero Fernández, Rafael, 2008. "Evaluación y clasificación de las técnicas utilizadas por las organizaciones, en las últimas décadas, para seleccionar proyectos = Evaluation and classification of the techniques used by organiza," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 5(1), pages 67-115, June.
- Lin, Winston T. & Chuang, Chia-Hung & Choi, Jeong Hoon, 2010. "A partial adjustment approach to evaluating and measuring the business value of information technology," International Journal of Production Economics, Elsevier, vol. 127(1), pages 158-172, September.
- Büschken, Joachim, 2009. "When does data envelopment analysis outperform a naïve efficiency measurement model?," European Journal of Operational Research, Elsevier, vol. 192(2), pages 647-657, January.
- Kao, Chiang & Liu, Shiang-Tai, 2009. "Stochastic data envelopment analysis in measuring the efficiency of Taiwan commercial banks," European Journal of Operational Research, Elsevier, vol. 196(1), pages 312-322, July.
- Luo, Xueming & Donthu, Naveen, 2005. "Assessing advertising media spending inefficiencies in generating sales," Journal of Business Research, Elsevier, vol. 58(1), pages 28-36, January.
- HATAMI-MARBINI, Adel & TAVANA, Madjid & EMROUZNEJAD, Ali & SAATI, Saber, . "Efficiency measurement in fuzzy additive data envelopment analysis," CORE Discussion Papers RP 2393, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- HATAMI-MARBINI, Adel & AGRELL, Per & AGHAYI, Nazila, 2013. "Imprecise data envelopment analysis for the two-stage process," CORE Discussion Papers 2013004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Yang, Feng & Wu, Desheng Dash & Liang, Liang & O'Neill, Liam, 2011. "Competition strategy and efficiency evaluation for decision making units with fixed-sum outputs," European Journal of Operational Research, Elsevier, vol. 212(3), pages 560-569, August.
- Despotis, Dimitris K. & Smirlis, Yiannis G., 2002. "Data envelopment analysis with imprecise data," European Journal of Operational Research, Elsevier, vol. 140(1), pages 24-36, July.
- W. Cooper & L. Seiford & K. Tone & J. Zhu, 2007. "Some models and measures for evaluating performances with DEA: past accomplishments and future prospects," Journal of Productivity Analysis, Springer, vol. 28(3), pages 151-163, December.
- Ho, Dong-huyn & Lööf, Hans, 2009. "Creating Innovations, Productivity and Growth - the efficiency of Icelandic firms," Working Paper Series in Economics and Institutions of Innovation 162, Royal Institute of Technology, CESIS - Centre of Excellence for Science and Innovation Studies.
- Sueyoshi, Toshiyuki & Aoki, Shingo, 2001. "A use of a nonparametric statistic for DEA frontier shift: the Kruskal and Wallis rank test," Omega, Elsevier, vol. 29(1), pages 1-18, February.
- Cook, Wade D. & Seiford, Larry M., 2009. "Data envelopment analysis (DEA) - Thirty years on," European Journal of Operational Research, Elsevier, vol. 192(1), pages 1-17, January.
- Zhu, Joe, 2003. "Imprecise data envelopment analysis (IDEA): A review and improvement with an application," European Journal of Operational Research, Elsevier, vol. 144(3), pages 513-529, February.
- Ramanathan, Ramakrishnan & Ramanathan, Usha, 2010. "A qualitative perspective to deriving weights from pairwise comparison matrices," Omega, Elsevier, vol. 38(3-4), pages 228-232, June.
- Kao, Chiang & Liu, Shiang-Tai, 2004. "Predicting bank performance with financial forecasts: A case of Taiwan commercial banks," Journal of Banking & Finance, Elsevier, vol. 28(10), pages 2353-2368, October.
- Kao, Chiang & Lin, Pei-Huang, 2011. "Qualitative factors in data envelopment analysis: A fuzzy number approach," European Journal of Operational Research, Elsevier, vol. 211(3), pages 586-593, June.
- Liu, John S. & Lu, Louis Y.Y. & Lu, Wen-Min & Lin, Bruce J.Y., 2013. "Data envelopment analysis 1978–2010: A citation-based literature survey," Omega, Elsevier, vol. 41(1), pages 3-15.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc).
If references are entirely missing, you can add them using this form.