{"id":5952,"date":"2023-05-06T17:56:37","date_gmt":"2023-05-06T17:56:37","guid":{"rendered":"http:\/\/emrouznejad.com\/ali\/?page_id=5952"},"modified":"2023-05-06T18:07:22","modified_gmt":"2023-05-06T18:07:22","slug":"dea-inverse-review","status":"publish","type":"page","link":"https:\/\/emrouznejad.com\/ali\/survey\/dea-inverse-review\/","title":{"rendered":"A Review of Inverse Data Envelopment Analysis: Origins, Development, and Future Directions"},"content":{"rendered":"<table>\n<tbody>\n<tr>\n<td width=\"553\"><em><strong>Emrouznejad, A.<\/strong>, G. R. Amin, M. Ghiyasi, M. Michali (2023) A Review of Inverse Data Envelopment Analysis: Origins, Development, and Future Directions,\u00a0IMA Journal of Management Mathematics, <a href=\"https:\/\/doi.org\/10.1093\/imaman\/dpad006\">https:\/\/doi.org\/10.1093\/imaman\/dpad006<\/a>. <\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"_df_book df-lite\" id=\"df_5954\"  _slug=\"inversedea-review\" data-title=\"inverse-dea-review-2023\" wpoptions=\"true\" thumbtype=\"\" ><\/div><script class=\"df-shortcode-script\" nowprocket type=\"application\/javascript\">window.option_df_5954 = {\"outline\":[],\"autoEnableOutline\":\"false\",\"autoEnableThumbnail\":\"false\",\"overwritePDFOutline\":\"false\",\"direction\":\"1\",\"pageSize\":\"0\",\"source\":\"http:\\\/\\\/emrouznejad.com\\\/ali\\\/wp-content\\\/uploads\\\/sites\\\/3\\\/2023\\\/05\\\/IMA-InverseDEA-Review-Web-1.pdf\",\"wpOptions\":\"true\"}; if(window.DFLIP && window.DFLIP.parseBooks){window.DFLIP.parseBooks();}<\/script>\n<p>&nbsp;<\/p>\n<h3><span style=\"color: #333300;\">List of papers on Inverse Data Envelopment Analysis<\/span><\/h3>\n<p>&nbsp;<\/p>\n<ul>\n<li>Adimi, M. E., Malkhalife, M. R., Lotfi, F. H., and Mehrjoo, R. (2020). Features of the efficiency frontier and its application in Inverse DEA without solving a model. <em>Journal of Mathematical Extension, 14<\/em>(1), 203-220.<\/li>\n<li>Ahuja, R. K., and Orlin, J. B. (2001). Inverse optimization. <em>Operations Research, 49<\/em>(5), 771-783.<\/li>\n<li>Amin, G. R., and Al-Muharrami, S. (2018). A new inverse data envelopment analysis model for mergers with negative data. <em>IMA Journal of Management Mathematics, <\/em>29(2), 137-149.<\/li>\n<li>Amin, G. R., Al-Muharrami, S., and Toloo, M. (2019a). A combined goal programming and inverse DEA method for target setting in mergers. <em>Expert Systems with Applications, 115<\/em>, 412-417.<\/li>\n<li>Amin, G. R., and Emrouznejad, A. (2007). Inverse forecasting: A new approach for predictive modeling. <em>Computers Industrial Engineering, 53<\/em>(3), 491-498.<\/li>\n<li>Amin, G. R., Emrouznejad, A., and Gattoufi, S. (2017a). Minor and major consolidations in inverse DEA: Definition and determination. <em>Computers and Industrial Engineering, 103<\/em>, 193-200. doi:10.1016\/j.cie.2016.11.029<\/li>\n<li>Amin, G. R., Emrouznejad, A., and Gattoufi, S. (2017b). Modelling generalized firms\u2019 restructuring using inverse DEA. <em>Journal of Productivity Analysis, 48<\/em>(1), 51-61. doi:10.1007\/s11123-017-0501-y<\/li>\n<li>Amin, G. R., and Ibn-Boamah, M. (2020). A new inverse DEA cost efficiency model for estimating potential merger gains: a case of Canadian banks. <em>Annals of Operations Research<\/em>, 1-16.<\/li>\n<li>Amin, G. R., and Ibn-Boamah, M. (2021). A two-stage inverse data envelopment analysis approach for estimating potential merger gains in the US banking sector. Managerial and Decision Economics, <em>42<\/em> (6), 1454-1465.<\/li>\n<li>Amin, G. R., and Ibn-Boamah, M. (2023). Modeling business partnerships: a data envelopment analysis approach. <em>European Journal of Operational Research,305<\/em>(1), 329-337.<\/li>\n<li>Amin, G. R., and Oukil, A. (2019b). Flexible target setting in mergers using inverse data envelopment analysis. <em>International Journal of Operational Research, 35<\/em>(3), 301-317.<\/li>\n<li>An, Q., Liu, X., Li, Y., and Xiong, B. (2019). Resource planning of Chinese commercial banking systems using two-stage inverse data envelopment analysis with undesirable outputs.<em> PLoS One, 14<\/em>(6), e0218214.<\/li>\n<li>Avand, M., Ghobadi, S., Jahangiri, S. (2023). A new inverse DEA model for units \u00a0restructuring: A case study of commercial banks members of the Persian Gulf Corporation Council (GCC), <em>Sharif Journal of Industrial Engineering and Management<\/em>.<\/li>\n<li>\u00c7ak\u0131r, S. (2017). Proposing integrated Shannon\u2019s entropy\u2013inverse data envelopment analysis methods for resource allocation problem under a fuzzy environment. <em>Engineering Optimization, 49<\/em>(10), 1733-1749.<\/li>\n<li>Charnes, A., Cooper, W., and Rhodes, E. (1978). Measuring the efficiency of decision making units. <em>European Journal of Operational Research, 2<\/em>(6), 429-444.<\/li>\n<li>Chen, L., Gao, Y., Li, M.-J., Wang, Y.-M., and Liao, L.-H. (2021). A new inverse data envelopment analysis approach to achieve China\u2019s road transportation safety objectives.<em> Safety Science, 142<\/em>, 105362.<\/li>\n<li>Chen, L., and Wang, Y.-M. (2021). Limitation and optimization of inputs and outputs in the inverse data envelopment analysis under variable returns to scale. <em>Expert Systems with Applications<\/em>, 115344.<\/li>\n<li>Chen, L., Wang, Y., Lai, F., and Feng, F. (2017). An investment analysis for China&#8217;s sustainable development based on inverse data envelopment analysis. <em>Journal of Cleaner Production, 142<\/em>, 1638-1649.<\/li>\n<li>Emrouznejad, A., Anouze, A. L., and Thanassoulis, E. (2010). A semi-oriented radial measure for measuring the efficiency of decision making units with negative data, using DEA. <em>European Journal of Operational Research, 200<\/em>(1), 297-304.<\/li>\n<li>Emrouznejad, A., and Yang, G.-l. (2018). A survey and analysis of the first 40 years of scholarly literature in DEA: 1978\u20132016. <em>Socio-Economic Planning Sciences, 61<\/em>, 4-8.<\/li>\n<li>Emrouznejad, A., Yang, G.-l., and Amin, G. R. (2019). A novel inverse DEA model with application to allocate the CO2 emissions quota to different regions in Chinese manufacturing industries. <em>Journal of the Operational Research Society, 70<\/em>(7), 1079-1090. doi:10.1080\/01605682.2018.1489344<\/li>\n<li>Foladi, S., Solimanpur, M., and Jahangoshai Rezaee, M. (2020). Inverse Dynamic Data Envelopment Analysis for Evaluating Faculties of University with Quasi-Fixed Inputs. <em>Social Indicators Research, 148<\/em>(1), 323-347. doi:10.1007\/s11205-019-02196-8<\/li>\n<li>Gatimbu, K. K., Ogada, M. J., and Budambula, N. L. (2019). Environmental efficiency of small-scale tea processors in Kenya: an inverse data envelopment analysis (DEA) approach. <em>Environment, Development Sustainability (Switzerland)<\/em>, 1-13.<\/li>\n<li>Gattoufi, S., Amin, G. R., and Emrouznejad, A. (2014). A new inverse DEA method for merging banks. <em>IMA Journal of Management Mathematics, 25<\/em>(1), 73-87. doi:10.1093\/imaman\/dps027.<\/li>\n<li>Gerami, J., Mozaffari, M.R., Wanke, P.F., and Correa, H.L. (2023). A generalized inverse DEA model for firm restructuring based on value efficiency. IMA Journal of Management Mathematics, <a href=\"https:\/\/doi.org\/10.1093\/imaman\/dpab043\">https:\/\/doi.org\/10.1093\/imaman\/dpab043<\/a>.<\/li>\n<li>Gharibi, K. and Abdollahzadeh, S. (2021), &#8220;A mixed-integer linear programming approach for circular economy-led closed-loop supply chains in green reverse logistics network design under uncertainty&#8221;, Journal of Enterprise Information Management, Vol. ahead-of-print No. ahead-of-print. https:\/\/doi.org\/10.1108\/JEIM-11-2020-0472<\/li>\n<li>Ghiyasi, M. (2015). On inverse DEA model: The case of variable returns to scale. <em>Computers and Industrial Engineering, 87<\/em>, 407-409. doi:10.1016\/j.cie.2015.05.018<\/li>\n<li>Ghiyasi, M. (2017a). Industrial sector environmental planning and energy efficiency of Iranian provinces. <em>Journal of Cleaner Production, 142<\/em>, 2328-2339. doi:10.1016\/j.jclepro.2016.11.044<\/li>\n<li>Ghiyasi, M. (2017b). Inverse DEA based on cost and revenue efficiency. <em>Computers and Industrial Engineering, 114<\/em>, 258-263. doi:10.1016\/j.cie.2017.10.024<\/li>\n<li>Ghiyasi, M. (2019). Emission utilization permission based on environmental efficiency analysis. <em>Environmental Science Pollution Research, 26<\/em>(21), 21295-21303.<\/li>\n<li>Ghiyasi, M. (2022). Environmental efficiency and sensitivity analysis of Industrial sectors for Iranian provinces: A time series-like inverse DEA based approach. <em>Environment, Development and Sustainability <\/em><\/li>\n<li>Ghiyasi, M., Soltanifar, M. and Sharafi, H. (2022). A novel inverse DEA-R model with application in hospital efficiency. <em>Socio-Economic Planning Sciences<\/em>. 84. 101427.<\/li>\n<li>Ghiyasi, M., and Zhu, N. (2020). An inverse semi-oriented radial data envelopment analysis measure for dealing with negative data.<em> IMA Journal of Management Mathematics, 31<\/em>(4), 505-516.<\/li>\n<li>Ghomia, A., Ghobadib, S., Behzadia, M. H., and Rostamy-Malkhalifehc, M. (2021). Inverse data envelopment analysis with stochastic data. <em>RAIRO &#8211; Operations Research<\/em>, 55, 2739-2762.<\/li>\n<li>Guijarro, F., Mart\u00ednez-G\u00f3mez, M., and Visbal-Cadavid, D. (2020). A model for sector restructuring through genetic algorithm and inverse DEA. <em>Expert Systems with Applications, 154<\/em>. doi:10.1016\/j.eswa.2020.113422<\/li>\n<li>Hadi-Vencheh, A., Foroughi, A. A., and Soleimani-damaneh, M. (2008). A DEA model for resource allocation. <em>Economic Modelling, 25<\/em>(5), 983-993. doi:10.1016\/j.econmod.2008.01.003<\/li>\n<li>Hassanzadeh, A., Yousefi, S., Saen, R. F., and Hosseininia, S. S. S. (2018). How to assess sustainability of countries via inverse data envelopment analysis?<em> Clean Technologies Environmental Policy, 20<\/em>(1), 29-40.<\/li>\n<li>He, X., Chen, L., and Huang, Y. (2022).A Study of Forest Carbon Sink Increment from the Perspective of Efficiency Evaluation Based on an Inverse DEA Model. <em>Forests, 13<\/em>(10), 1563. https:\/\/doi.org\/10.3390\/f13101563<\/li>\n<li>Hosseininia, S. S., and Saen, R. F. (2020). Developing a novel inverse data envelopment analysis (DEA) model for evaluating after\u2010sales units. <em>Expert Systems<\/em>, e12579.<\/li>\n<li>Hu, X. Y., Li, J. S., Li, X. Y., and Cui, J. C. (2020). Carbon Emissions Abatement (CEA) Allocation Based on Inverse Slack-Based Model (SBM). <em>Journal of the Operations Research Society of China, 9, 475-498<\/em>. doi:10.1007\/s40305-020-00303-y<\/li>\n<li>Huang, S., and Liu, Z. (1999). On the inverse problem of linear programming and its application to minimum weight perfect k-matching. <em>European Journal of Operational Research, 112<\/em>(2), 421-426.<\/li>\n<li>Jahanshahloo, G. R., Soleimani-Damaneh, M., and Ghobadi, S. (2015). Inverse DEA under inter-temporal dependence using multiple-objective programming. <em>European Journal of Operational Research, 240<\/em>(2), 447-456. doi:10.1016\/j.ejor.2014.07.002<\/li>\n<li>Kalantary, M., Farzipoor Saen, R., and Toloie Eshlaghy, A. (2018). Sustainability assessment of supply chains by inverse network dynamic data envelopment analysis. <em>Scientia Iranica, 25<\/em>(6), 3723-3743.<\/li>\n<li>Kalantary, M., and Saen, R. F. (2019). Assessing sustainability of supply chains: An inverse network dynamic DEA model. <em>Computers Industrial Engineering, 135<\/em>, 1224-1238.<\/li>\n<li>Kazemi, A., and Galagedera, D.U.A. (2023). An inverse DEA model for intermediate and output target setting in serially linked general two-stage processes. IMA Journal of Management Mathematics, https:\/\/doi.org\/10.1093\/imaman\/dpab041.<\/li>\n<li>Le, M. H., Afsharian, M., and Ahn, H. (2021). Inverse Frontier-based Benchmarking for Investigating the Efficiency and Achieving the Targets in the Vietnamese Education System. <em>Omega<\/em>, 102427.<\/li>\n<li>Lertworasirikul, S., Charnsethikul, P., and Fang, S.-C. (2011). Inverse data envelopment analysis model to preserve relative efficiency values: The case of variable returns to scale. <em>Computers Industrial Engineering, 61<\/em>(4), 1017-1023.<\/li>\n<li>Lim, D.-J. (2016). Inverse DEA with frontier changes for new product target setting. <em>European journal of operational research, 254<\/em>(2), 510-516.doi:10.1016\/j.ejor.2016.03.059.<\/li>\n<li>Lim, D.-J. (2020). Inverse data envelopment analysis for operational planning: The impact of oil price shocks on the production frontier. <em>Expert Systems with Applications, 161<\/em>, 113726. doi:10.1016\/j.ejor.2016.03.059<\/li>\n<li>Lin, H.-T. (2010). An efficiency-driven approach for setting revenue target. Decision Support Systems, 49(3), 311-317.<\/li>\n<li>Lin, Y., Yan, L., and Wang, Y.-M. (2019). Performance evaluation and investment analysis for container port sustainable development in china: An inverse DEA approach. <em>Sustainability (Switzerland), 11<\/em>(17), 4617.<\/li>\n<li>Mahla, D., Agarwal, S., Amin, G.R., and Mathur, T. (2023). An inverse data envelopment analysis model to consider ratio data and preferences of decision-makers. IMA Journal of Management Mathematics, https:\/\/doi.org\/10.1093\/imaman\/dpac009.<\/li>\n<li>Modhej, D., Sanei, M., Shoja, N., and HosseinzadehLotfi, F. (2017). Integrating inverse data envelopment analysis and neural network to preserve relative efficiency values. <em>Journal of Intelligent Fuzzy Systems, 32<\/em>(6), 4047-4058.<\/li>\n<li>Moghaddas, Z., Tosarkani, B. M., and Yousefi, S. (2022). Resource reallocation for improving sustainable supply chain performance: An inverse data envelopment analysis. <em>International Journal of Production Economics, In Press<\/em>, 108560.<\/li>\n<li>Orisaremi, K. K., Chan, F. T., and Chung, N. S. (2021). Potential reductions in global gas flaring for determining the optimal sizing of gas-to-wire (GTW) process: An inverse DEA approach. <em>Journal of Natural Gas Science and Engineering, 93<\/em>, 103995.<\/li>\n<li>Orisaremi, K.K., Chan, F.T.S., Chung, S.H. and Fu, X.W. (2022). A sustainable lean production framework based on inverse DEA for mitigating gas flaring.<em> Expert Syst. Appl.<\/em>, <em>206<\/em>, 117856.<\/li>\n<li>Oukil, A. (2023). Investigating prospective gains from mergers in the agricultural sector through Inverse DEA. IMA Journal of Management Mathematics, https:\/\/doi.org\/10.1093\/imaman\/dpac004.<\/li>\n<li>Oukil, A., Nourani, A., Bencheikh, A., Soltani, A.A. (2022). Using inverse data envelopment analysis to evaluate potential impact of mergers on energy use optimization &#8211; Application in the agricultural production,<em> Journal of Cleaner Production<\/em>, <em>381<\/em>, Part 1.<\/li>\n<li>Saen, R. F., and Nia, S. S. S. H. (2019). Evaluating after-sales service units by developing inverse network data envelopment analysis model. <em>Benchmarking: An International Journal<\/em>.<\/li>\n<li>Shiri Daryani, Z., Tohidi, G., Daneshian, B., Razavyan, S. and Hosseinzadeh Lotfi, F. (2021). Inverse DEA in two-stage systems based on allocative efficiency. <em>Journal of Intelligent and Fuzzy Systems, 40<\/em>(1), 591-603.<\/li>\n<li>Soltanifar, M., Ghiyasi, M., and Sharafi, H. (2023). Inverse DEA-R models for merger analysis with negative data. IMA Journal of Management Mathematics, https:\/\/doi.org\/10.1093\/imaman\/dpac001.<\/li>\n<li>Wegener, M., and Amin, G. R. (2019). Minimizing greenhouse gas emissions using inverse DEA with an application in oil and gas. <em>Expert Systems with Applications, 122<\/em>, 369-375.<\/li>\n<li>Wei, Q., Zhang, J., and Zhang, X. (2000). An inverse DEA model for inputs\/outputs estimate. <em>European Journal of Operational Research, 121<\/em>(1), 151-163.<\/li>\n<li>Yan, H., Wei, Q., and Hao, G. (2002). DEA models for resource reallocation and production input\/output estimation. <em>European Journal of Operational Research, 136<\/em>(1), 19-31. doi:10.1016\/S0377-2217(01)00046-7<\/li>\n<li>Younesi, A., Lotfi, F.H. and Arana-Jim\u00e9nez, M. (2023). Using slacks-based model to solve inverse DEA with integer intervals for input estimation. <em>Fuzzy Optim Decis Making<\/em>. https:\/\/doi.org\/10.1007\/s10700-022-09403-1<\/li>\n<li>Yousefi, S., Hassanzadeh, A., Saen, R. F., and Kashi, Z. M. (2021). Assessing sustainability of Islamic countries via data envelopment analysis (DEA). <em>Clean Technologies Environmental Policy, 24<\/em>, 1129-1143.<\/li>\n<li>Yu, A., Shao, Y., You, J., Wu, M., and Xu, T. (2019). Estimations of operational efficiencies and potential income gains considering the credit risk for China\u2019s banks. <em>Journal of the Operational Research Society, 70<\/em>(12), 2153-2168.<\/li>\n<li>Zeinodin, E., and Ghobadi, S. (2019). Merging DMUs Based on of the Idea Inverse DEA. <em>Iranian Journal of Optimization<\/em>, 11(2), 77-84.<\/li>\n<li>Zhang, G., and Cui, J. (2020). A general inverse DEA model for non-radial DEA. <em>Computers and Industrial Engineering, 142<\/em>. doi:10.1016\/j.cie.2020.106368<\/li>\n<li>Zhang, J., Jin, W., Yang, G.-l., Li, H., Ke, Y., and Philbin, S. P. (2021). Optimizing regional allocation of CO2 emissions considering output under overall efficiency. <em>Socio-economic planning sciences, Socio-Economic Planning Sciences<\/em>, 101012.<\/li>\n<li>Zhang, J., and Liu, Z. (1996). Calculating some inverse linear programming problems. <em>Journal of Computational and Applied Mathematics, 72<\/em>(2), 261-273.<\/li>\n<li>Zhang, J., and Liu, Z. (1999). A further study on inverse linear programming problems. <em>Journal of Computational and Applied Mathematics<\/em>, 106(2), 345-359.<\/li>\n<li>Zhang, M., and Cui, J. C. (2016). The extension and integration of the inverse DEA method. <em>Journal of the Operational Research Society, 67<\/em>(9), 1212-1220. doi:10.1057\/jors.2016.2<\/li>\n<li>Zhang, X. S., and Cui, J. C. (1999). A project evaluation system in the state economic information system of China an operations research practice in public sectors. <em>International Transactions in Operational Research, 6<\/em>(5), 441-452.<\/li>\n<\/ul>\n<p style=\"font-weight: 400;\">\n","protected":false},"excerpt":{"rendered":"<p>Emrouznejad, A., G. R. Amin, M. Ghiyasi, M. Michali (2023) A Review of Inverse Data Envelopment Analysis: Origins, Development, and Future Directions,\u00a0IMA Journal of Management Mathematics, https:\/\/doi.org\/10.1093\/imaman\/dpad006. &nbsp; List of papers on Inverse Data Envelopment Analysis &nbsp; Adimi, M. E., Malkhalife, M. R., Lotfi, F. H., and Mehrjoo, R. (2020). Features of the efficiency frontier [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":5941,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-5952","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/emrouznejad.com\/ali\/wp-json\/wp\/v2\/pages\/5952","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/emrouznejad.com\/ali\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/emrouznejad.com\/ali\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/emrouznejad.com\/ali\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/emrouznejad.com\/ali\/wp-json\/wp\/v2\/comments?post=5952"}],"version-history":[{"count":4,"href":"https:\/\/emrouznejad.com\/ali\/wp-json\/wp\/v2\/pages\/5952\/revisions"}],"predecessor-version":[{"id":5964,"href":"https:\/\/emrouznejad.com\/ali\/wp-json\/wp\/v2\/pages\/5952\/revisions\/5964"}],"up":[{"embeddable":true,"href":"https:\/\/emrouznejad.com\/ali\/wp-json\/wp\/v2\/pages\/5941"}],"wp:attachment":[{"href":"https:\/\/emrouznejad.com\/ali\/wp-json\/wp\/v2\/media?parent=5952"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}