{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T20:09:31Z","timestamp":1774555771262,"version":"3.50.1"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2009,7,15]],"date-time":"2009-07-15T00:00:00Z","timestamp":1247616000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2010,1]]},"DOI":"10.1007\/s10479-009-0587-3","type":"journal-article","created":{"date-parts":[[2009,7,14]],"date-time":"2009-07-14T10:02:56Z","timestamp":1247565776000},"page":"177-194","source":"Crossref","is-referenced-by-count":267,"title":["DEA models with undesirable inputs and outputs"],"prefix":"10.1007","volume":"173","author":[{"given":"W. B.","family":"Liu","sequence":"first","affiliation":[]},{"given":"W.","family":"Meng","sequence":"additional","affiliation":[]},{"given":"X. X.","family":"Li","sequence":"additional","affiliation":[]},{"given":"D. Q.","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,7,15]]},"reference":[{"key":"587_CR1","first-page":"403","volume":"10","author":"A. Ali","year":"1990","unstructured":"Ali,\u00a0A., & Seiford, L.\u00a0M. (1990). Translation invariance in data envelopment analysis. Operations Research Letters, 10, 403\u2013405.","journal-title":"Operations Research Letters"},{"key":"587_CR2","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/0377-2217(84)90006-7","volume":"17","author":"R.\u00a0D. Banker","year":"1984","unstructured":"Banker, R.\u00a0D. (1984). Estimating most productive scale size using data envelopment analysis. European Journal of Operational Research, 17, 35\u201344.","journal-title":"European Journal of Operational Research"},{"key":"587_CR3","doi-asserted-by":"crossref","first-page":"1078","DOI":"10.1287\/mnsc.30.9.1078","volume":"30","author":"R.\u00a0D. Banker","year":"1984","unstructured":"Banker, R.\u00a0D., Charnes,\u00a0A., & Cooper, W.\u00a0W. (1984). Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science, 30, 1078\u20131092.","journal-title":"Management Science"},{"key":"587_CR4","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1016\/0377-2217(78)90138-8","volume":"2","author":"A. Charnes","year":"1978","unstructured":"Charnes,\u00a0A., Cooper, W.\u00a0W., & Rhodes,\u00a0E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2, 429\u2013444.","journal-title":"European Journal of Operational Research"},{"key":"587_CR5","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/0304-4076(85)90133-2","volume":"30","author":"A. Charnes","year":"1985","unstructured":"Charnes,\u00a0A., Cooper, W.\u00a0W., Golany,\u00a0B., Seiford,\u00a0L., & Stutz,\u00a0J. (1985). Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions. Journal of Econometrics, 30, 91\u2013107.","journal-title":"Journal of Econometrics"},{"key":"587_CR6","doi-asserted-by":"crossref","first-page":"1099","DOI":"10.1080\/00207728908910197","volume":"20","author":"A. Charnes","year":"1989","unstructured":"Charnes,\u00a0A., Cooper, W.\u00a0W., Wei, Q.\u00a0L., & Huhng, Z.\u00a0M. (1989). Cone ratio data envelopment analysis and multi-objective programming. International Journal of Systems Science, 20, 1099\u20131118.","journal-title":"International Journal of Systems Science"},{"key":"587_CR7","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1016\/S0377-2217(03)00173-5","volume":"154","author":"W.\u00a0W. Cooper","year":"2004","unstructured":"Cooper, W.\u00a0W., Seiford, L.\u00a0M., Thanassaulis,\u00a0E., & Zanakis, S.\u00a0H. (2004). DEA and its uses in different countries. European Journal of Operational Research, 154, 337\u2013344.","journal-title":"European Journal of Operational Research"},{"key":"587_CR8","doi-asserted-by":"crossref","first-page":"242","DOI":"10.1016\/S0377-2217(03)00191-7","volume":"157","author":"R. F\u00e4re","year":"2004","unstructured":"F\u00e4re,\u00a0R., & Grosskopf,\u00a0S. (2004). Modelling undesirable factors in efficiency evaluation: comments. European Journal of Operational Research, 157, 242\u2013245.","journal-title":"European Journal of Operational Research"},{"key":"587_CR9","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1016\/0022-0531(78)90060-1","volume":"19","author":"R. F\u00e4re","year":"1978","unstructured":"F\u00e4re,\u00a0R., & Lovell, C.\u00a0A. (1978). Measuring the technical efficiency of production. Journal of Economic Theory, 19, 150\u2013162.","journal-title":"Journal of Economic Theory"},{"key":"587_CR10","doi-asserted-by":"crossref","first-page":"90","DOI":"10.2307\/1928055","volume":"71","author":"R. F\u00e4re","year":"1989","unstructured":"F\u00e4re,\u00a0R., Grosskopf,\u00a0S., Lovell, C.\u00a0A.\u00a0K., & Pasurka,\u00a0C. (1989). Multilateral productivity comparisons when some outputs are undesirable: a nonparametric approach. The Review of Economics and Statistics, 71, 90\u201398.","journal-title":"The Review of Economics and Statistics"},{"key":"587_CR11","doi-asserted-by":"crossref","first-page":"253","DOI":"10.2307\/2343100","volume":"120","author":"M.\u00a0J. Farrell","year":"1957","unstructured":"Farrell, M.\u00a0J. (1957). The measurement of productive efficiency. Journal of the Royal Statistical Society, Series A (General), 120, 253\u2013290.","journal-title":"Journal of the Royal Statistical Society, Series A (General)"},{"key":"587_CR12","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/0305-0483(89)90029-7","volume":"17","author":"B. Golany","year":"1989","unstructured":"Golany,\u00a0B., & Roll,\u00a0Y. (1989). An application procedure for DEA. Omega: The International Journal of Management Science, 17, 237\u2013250.","journal-title":"Omega: The International Journal of Management Science"},{"key":"587_CR13","first-page":"33","volume-title":"Activity analysis of production and allocation, Cowles Commission","author":"T.\u00a0C. Koopmans","year":"1951","unstructured":"Koopmans, T.\u00a0C. (1951). Analysis of production as an efficient combination of activities. In T.\u00a0C. Koopmans (Ed.), Activity analysis of production and allocation, Cowles Commission (pp. 33\u201397). New York: Wiley."},{"key":"587_CR14","doi-asserted-by":"crossref","unstructured":"Liu, W.\u00a0B., & Sharp,\u00a0J. (1999). DEA models via goal programming. In G. Westerman (Ed.), Data envelopment analysis in the public and private sector. Deutscher Universitats-Verlag.","DOI":"10.1007\/978-3-663-08343-6_5"},{"key":"587_CR15","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/s10479-006-0042-7","volume":"145","author":"W.\u00a0B. Liu","year":"2006","unstructured":"Liu, W.\u00a0B., Sharp,\u00a0J., & Wu, Z.\u00a0M. (2006). Preference, production and performance in data envelopment analysis. Annals of Operational Research, 145, 105\u2013127.","journal-title":"Annals of Operational Research"},{"key":"587_CR16","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1016\/0377-2217(95)00226-X","volume":"87","author":"C.\u00a0A.\u00a0K. Lovell","year":"1995","unstructured":"Lovell, C.\u00a0A.\u00a0K., Pastor, J.\u00a0T., & Turner, J.\u00a0A. (1995). Measuring macroeconomic performance in the OECD: a comparison of European and non-European countries. European Journal of Operational Research, 87, 507\u2013518.","journal-title":"European Journal of Operational Research"},{"key":"587_CR17","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/s11192-006-0140-y","volume":"69","author":"W. Meng","year":"2006","unstructured":"Meng,\u00a0W., Zhu, Z.\u00a0H., & Liu, W.\u00a0B. (2006). Efficiency evaluation of basic research in China. Scientometrics, 69, 85\u2013101.","journal-title":"Scientometrics"},{"key":"587_CR18","first-page":"93","volume":"66","author":"J.\u00a0T. Pastor","year":"1996","unstructured":"Pastor, J.\u00a0T. (1996). Translation invariance in data envelopment analysis. Annals of Operations Research, 66, 93\u2013102.","journal-title":"Annals of Operations Research"},{"key":"587_CR19","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511606731","volume-title":"Data envelopment analysis: theory and techniques for economics and operations research","author":"S.\u00a0C. Ray","year":"2004","unstructured":"Ray, S.\u00a0C. (2004). Data envelopment analysis: theory and techniques for economics and operations research. Cambridge: Cambridge University Press."},{"key":"587_CR20","unstructured":"Scheel,\u00a0H. (1998). Negative data and undesirable outputs in DEA. Working paper in EURO Summer Institute."},{"key":"587_CR21","doi-asserted-by":"crossref","first-page":"400","DOI":"10.1016\/S0377-2217(00)00160-0","volume":"132","author":"H. Scheel","year":"2001","unstructured":"Scheel,\u00a0H. (2001). Undesirable outputs in efficiency evaluation. European Journal of Operational Research, 132, 400\u2013410.","journal-title":"European Journal of Operational Research"},{"key":"587_CR22","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/BF00157037","volume":"7","author":"L.\u00a0M. Seiford","year":"1996","unstructured":"Seiford, L.\u00a0M. (1996). Date envelopment analysis: evolution of the state-of-the-art (1978\u20131998). Journal of Productivity Analysis, 7, 99\u2013137.","journal-title":"Journal of Productivity Analysis"},{"key":"587_CR23","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/S0377-2217(01)00293-4","volume":"142","author":"L.\u00a0M. Seiford","year":"2002","unstructured":"Seiford, L.\u00a0M., & Zhu,\u00a0J. (2002). Modeling undesirable factors in efficiency evaluation. European Journal of Operational Research, 142, 16\u201320.","journal-title":"European Journal of Operational Research"},{"key":"587_CR24","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1016\/j.ejor.2003.09.018","volume":"161","author":"L.\u00a0M. Seiford","year":"2005","unstructured":"Seiford, L.\u00a0M., & Zhu,\u00a0J. (2005). A response to comments on modeling undesirable factors in efficiency evaluation. European Journal of Operational Research, 161, 579\u2013581.","journal-title":"European Journal of Operational Research"},{"key":"587_CR25","doi-asserted-by":"crossref","first-page":"1672","DOI":"10.1057\/palgrave.jors.2602318","volume":"58","author":"J. Sharp","year":"2006","unstructured":"Sharp,\u00a0J., Meng,\u00a0W., & Liu, W.\u00a0B. (2006). A modified slacks based measure model for data envelopment analysis with natural negative outputs and inputs. Journal of the Operational Research Society, 58, 1672\u20131677.","journal-title":"Journal of the Operational Research Society"},{"key":"587_CR26","volume-title":"Theory of cost and production functions","author":"R.\u00a0W. Shephard","year":"1970","unstructured":"Shephard, R.\u00a0W. (1970). Theory of cost and production functions. Princeton: Princeton University Press."},{"key":"587_CR27","doi-asserted-by":"crossref","first-page":"1111","DOI":"10.1057\/palgrave.jors.2601768","volume":"55","author":"M.\u00a0C.\u00a0A. Silva Portela","year":"2004","unstructured":"Silva Portela, M.\u00a0C.\u00a0A., Thanassoulis,\u00a0E., & Simpson,\u00a0G. (2004). Negative data in DEA: a directional distance approach applied to bank branches. Journal of the Operational Research Society, 55, 1111\u20131121.","journal-title":"Journal of the Operational Research Society"},{"key":"587_CR28","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1016\/S0377-2217(99)00407-5","volume":"130","author":"K. Tone","year":"2001","unstructured":"Tone,\u00a0K. (2001). A slacks-based measure of efficiency in data envelopment analysis. European Journal of Operational Research, 130, 498\u2013509.","journal-title":"European Journal of Operational Research"},{"key":"587_CR29","unstructured":"Tone,\u00a0K. (2004). Dealing with undesirable outputs in DEA: a Slacks-Based Measure (SBM) approach. Presentation at NAPW III, Toronto."},{"key":"587_CR30","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1016\/j.jairtraman.2004.04.001","volume":"10","author":"M.\u00a0M. Yu","year":"2004","unstructured":"Yu, M.\u00a0M. (2004). Measuring physical efficiency of domestic airports in Taiwan with undesirable outputs and environmental factors. Journal of Air Transport Management, 10, 295\u2013303.","journal-title":"Journal of Air Transport Management"},{"key":"587_CR31","doi-asserted-by":"crossref","first-page":"983","DOI":"10.1057\/palgrave.jors.2602638","volume":"60","author":"D.\u00a0Q. Zhang","year":"2009","unstructured":"Zhang, D.\u00a0Q., Li, X.\u00a0X., Meng,\u00a0W., & Liu, W.\u00a0B. (2009). Measure the performance of nations at Olympic Games using DEA models with different preferences. Journal of the Operational Research Society, 60, 983\u2013990.","journal-title":"Journal of the Operational Research Society"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-009-0587-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10479-009-0587-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-009-0587-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T14:07:55Z","timestamp":1559138875000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10479-009-0587-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,7,15]]},"references-count":31,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["587"],"URL":"https:\/\/doi.org\/10.1007\/s10479-009-0587-3","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,7,15]]}}}