Setting closer targets based on non-dominated convex combinations of Pareto-efficient units: A bi-level linear programming approach in Data Envelopment Analysis
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DOI: 10.1016/j.ejor.2023.05.034
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- Nasim Nasrabadi & Akram Dehnokhalaji & Pekka Korhonen & Jyrki Wallenius, 2019. "A stepwise benchmarking approach to DEA with interval scale data," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(6), pages 954-961, June.
- 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.
- Seiford, Lawrence M. & Zhu, Joe, 2003. "Context-dependent data envelopment analysis--Measuring attractiveness and progress," Omega, Elsevier, vol. 31(5), pages 397-408, October.
- Jie Wu & Yafei Yu & Qingyuan Zhu & Qingxian An & Liang Liang, 2018. "Closest target for the orientation-free context-dependent DEA under variable returns to scale," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(11), pages 1819-1833, November.
- Sekitani, Kazuyuki & Zhao, Yu, 2021. "Performance benchmarking of achievements in the Olympics: An application of Data Envelopment Analysis with restricted multipliers," European Journal of Operational Research, Elsevier, vol. 294(3), pages 1202-1212.
- AGRELL, Per J. & BOGETOFT, Peter & BROCK, Michael & TIND, Jorgen, 2005. "Efficiency evaluation with convex pairs," LIDAM Reprints CORE 1828, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Xiangyang Tao & Qingxian An & Beibei Xiong & Sijia Cai, 2023. "Sequential benchmark selection on Pareto-efficient frontiers with endogenous directions," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 74(1), pages 18-32, January.
- Walter Briec & Kristiaan Kerstens & Philippe Venden Eeckaut, 2004.
"Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity,"
Journal of Economics, Springer, vol. 81(2), pages 155-192, February.
- Briec, Walter & Kerstens, Kristiaan & Vyen Eeckaut, Philippe, 2002. "Non-Convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity," Efficiency Series Papers 2002/03, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
- W. Briec & K. Kerstens & P. Vanden Eeckaut, 2006. "Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity," Post-Print hal-00211174, HAL.
- 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.
- Henry Tulkens, 2006.
"On FDH Efficiency Analysis: Some Methodological Issues and Applications to Retail Banking, Courts and Urban Transit,"
Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 311-342,
Springer.
- Henry Tulkens, 1993. "On FDH efficiency analysis: Some methodological issues and applications to retail banking, courts, and urban transit," Journal of Productivity Analysis, Springer, vol. 4(1), pages 183-210, June.
- TULKENS, Henry, 1993. "On FDH efficiency analysis: some methodological issues and applications to retail banking, courts, and urban transit," LIDAM Reprints CORE 1046, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Niels Christian Petersen, 1990. "Data Envelopment Analysis on a Relaxed Set of Assumptions," Management Science, INFORMS, vol. 36(3), pages 305-314, March.
- Cook, Wade D. & Ruiz, José L. & Sirvent, Inmaculada & Zhu, Joe, 2017. "Within-group common benchmarking using DEA," European Journal of Operational Research, Elsevier, vol. 256(3), pages 901-910.
- Zhu, Qingyuan & Wu, Jie & Ji, Xiang & Li, Feng, 2018. "A simple MILP to determine closest targets in non-oriented DEA model satisfying strong monotonicity," Omega, Elsevier, vol. 79(C), pages 1-8.
- Kuosmanen, Timo, 2001. "DEA with efficiency classification preserving conditional convexity," European Journal of Operational Research, Elsevier, vol. 132(2), pages 326-342, July.
- Kao, Chiang, 2022. "Closest targets in the slacks-based measure of efficiency for production units with multi-period data," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1042-1054.
- Léopold Simar & Valentin Zelenyuk, 2018.
"Improving Finite Sample Approximation by Central Limit Theorems for DEA and FDH efficiency scores,"
CEPA Working Papers Series
WP072018, School of Economics, University of Queensland, Australia.
- Simar, Leopold & Zelenyuk, Valentin, 2020. "Improving Finite Sample Approximation by Central Limit Theorems for DEA and FDH efficiency scores," LIDAM Reprints ISBA 2020002, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
- Simar, Leopold & Zelenyuk, Valentin, 2018. "Improving Finite Sample Approximation by Central Limit Theorems for DEA and FDH efficiency scores," LIDAM Discussion Papers ISBA 2018020, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
- 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.
- Podinovski, Victor V. & Kuosmanen, Timo, 2011. "Modelling weak disposability in data envelopment analysis under relaxed convexity assumptions," European Journal of Operational Research, Elsevier, vol. 211(3), pages 577-585, June.
- Mehdiloozad, Mahmood & Podinovski, Victor V., 2018. "Nonparametric production technologies with weakly disposable inputs," European Journal of Operational Research, Elsevier, vol. 266(1), pages 247-258.
- Sebastián Lozano & Narges Soltani, 2020. "A modified discrete Raiffa approach for efficiency assessment and target setting," Annals of Operations Research, Springer, vol. 292(1), pages 71-95, September.
- Zhu, Qingyuan & Aparicio, Juan & Li, Feng & Wu, Jie & Kou, Gang, 2022. "Determining closest targets on the extended facet production possibility set in data envelopment analysis: Modeling and computational aspects," European Journal of Operational Research, Elsevier, vol. 296(3), pages 927-939.
- Akram Dehnokhalaji & Narges Soltani, 2019. "Gradual efficiency improvement through a sequence of targets," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(12), pages 2143-2152, December.
- Jerome Bracken & James T. McGill, 1973. "Mathematical Programs with Optimization Problems in the Constraints," Operations Research, INFORMS, vol. 21(1), pages 37-44, February.
- Juan Aparicio & José Ruiz & Inmaculada Sirvent, 2007. "Closest targets and minimum distance to the Pareto-efficient frontier in DEA," Journal of Productivity Analysis, Springer, vol. 28(3), pages 209-218, December.
- Post, Thierry & Spronk, Jaap, 1999. "Performance benchmarking using interactive data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 115(3), pages 472-487, June.
- Aparicio, Juan & Cordero, Jose M. & Pastor, Jesus T., 2017.
"The determination of the least distance to the strongly efficient frontier in Data Envelopment Analysis oriented models: Modelling and computational aspects,"
Omega, Elsevier, vol. 71(C), pages 1-10.
- Aparicio, Juan & Cordero, Jose M. & Pastor, Jesús, 2016. "The determination of the least distance to the strongly efficient frontier in Data Envelopment Analysis oriented models: modelling and computational aspects," MPRA Paper 72630, University Library of Munich, Germany.
- Podinovski, V. V., 2005. "Selective convexity in DEA models," European Journal of Operational Research, Elsevier, vol. 161(2), pages 552-563, March.
- Gouveia, M.C. & Henriques, C.O. & Costa, P., 2021. "Evaluating the efficiency of structural funds: An application in the competitiveness of SMEs across different EU beneficiary regions," Omega, Elsevier, vol. 101(C).
- Dominique Deprins & Léopold Simar & Henry Tulkens, 2006.
"Measuring Labor-Efficiency in Post Offices,"
Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 285-309,
Springer.
- DEPRINS, Dominique & SIMAR, Léopold & TULKENS, Henry, 1984. "Measuring labor-efficiency in post offices," LIDAM Reprints CORE 571, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Juan Aparicio & Magdalena Kapelko & Juan F. Monge, 2020. "A Well-Defined Composite Indicator: An Application to Corporate Social Responsibility," Journal of Optimization Theory and Applications, Springer, vol. 186(1), pages 299-323, July.
- 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.
- Fukuyama, Hirofumi & Sekitani, Kazuyuki, 2012. "Decomposing the efficient frontier of the DEA production possibility set into a smallest number of convex polyhedrons by mixed integer programming," European Journal of Operational Research, Elsevier, vol. 221(1), pages 165-174.
- Olesen, Ole B. & Ruggiero, John, 2014. "Maintaining the Regular Ultra Passum Law in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 235(3), pages 798-809.
- Romano, Teresa & Cambini, Carlo & Fumagalli, Elena & Rondi, Laura, 2022. "Setting network tariffs with heterogeneous firms: The case of natural gas distribution," European Journal of Operational Research, Elsevier, vol. 297(1), pages 280-290.
- Lozano, Sebastián & Calzada-Infante, Laura, 2018. "Computing gradient-based stepwise benchmarking paths," Omega, Elsevier, vol. 81(C), pages 195-207.
- Timothy J. Coelli & D.S. Prasada Rao & Christopher J. O’Donnell & George E. Battese, 2005. "An Introduction to Efficiency and Productivity Analysis," Springer Books, Springer, edition 0, number 978-0-387-25895-9, June.
- Cook, Wade D. & Tone, Kaoru & Zhu, Joe, 2014. "Data envelopment analysis: Prior to choosing a model," Omega, Elsevier, vol. 44(C), pages 1-4.
- Simar, Léopold & Zelenyuk, Valentin, 2020.
"Improving finite sample approximation by central limit theorems for estimates from Data Envelopment Analysis,"
European Journal of Operational Research, Elsevier, vol. 284(3), pages 1002-1015.
- Léopold Simar & Valentin Zelenyuk, 2020. "Improving Finite Sample Approximation by Central Limit Theorems for Estimates from Data Envelopment Analysis," CEPA Working Papers Series WP012020, School of Economics, University of Queensland, Australia.
- Topcu, Taylan G. & Triantis, Konstantinos & Roets, Bart, 2019. "Estimation of the workload boundary in socio-technical infrastructure management systems: The case of Belgian railroads," European Journal of Operational Research, Elsevier, vol. 278(1), pages 314-329.
- J. Vakili & R. Sadighi Dizaji, 2021. "The closest strong efficient targets in the FDH technology: an enumeration method," Journal of Productivity Analysis, Springer, vol. 55(2), pages 91-105, April.
- Peter Bogetoft & Joseph M. Tama & Jørgen Tind, 2000. "Convex Input and Output Projections of Nonconvex Production Possibility Sets," Management Science, INFORMS, vol. 46(6), pages 858-869, June.
- 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.
- José L. Ruiz & Inmaculada Sirvent, 2021. "Searching for alternatives to the closest targets: Identifying new directions for improvement while controlling additional efforts," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(12), pages 2770-2782, December.
- J Quariguasi Frota Neto & L Angulo-Meza, 2007. "Alternative targets for data envelopment analysis through multi-objective linear programming: Rio de Janeiro Odontological Public Health System Case Study," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 865-873, July.
- Wu, Desheng Dash, 2010. "BiLevel programming Data Envelopment Analysis with constrained resource," European Journal of Operational Research, Elsevier, vol. 207(2), pages 856-864, December.
- Ruiz, José L. & Sirvent, Inmaculada, 2016. "Common benchmarking and ranking of units with DEA," Omega, Elsevier, vol. 65(C), pages 1-9.
- Cook, Wade D. & Ramón, Nuria & Ruiz, José L. & Sirvent, Inmaculada & Zhu, Joe, 2019. "DEA-based benchmarking for performance evaluation in pay-for-performance incentive plans," Omega, Elsevier, vol. 84(C), pages 45-54.
- Somayeh Razipour-GhalehJough & Farhad Hosseinzadeh Lotfi & Gholamreza Jahanshahloo & Mohsen Rostamy-malkhalifeh & Hamid Sharafi, 2020. "Finding closest target for bank branches in the presence of weight restrictions using data envelopment analysis," Annals of Operations Research, Springer, vol. 288(2), pages 755-787, May.
- Nuria Ramón & José L. Ruiz & Inmaculada Sirvent, 2016. "On the Use of DEA Models with Weight Restrictions for Benchmarking and Target Setting," International Series in Operations Research & Management Science, in: Juan Aparicio & C. A. Knox Lovell & Jesus T. Pastor (ed.), Advances in Efficiency and Productivity, chapter 0, pages 149-180, Springer.
- Kao, Chiang, 2022. "A maximum slacks-based measure of efficiency for closed series production systems," Omega, Elsevier, vol. 106(C).
- Ramón, Nuria & Ruiz, José L. & Sirvent, Inmaculada, 2020. "Cross-benchmarking for performance evaluation: Looking across best practices of different peer groups using DEA," Omega, Elsevier, vol. 92(C).
- Sheng Ang & Rui Zheng & Fangqing Wei & Feng Yang, 2021. "A modified DEA-based approach for selecting preferred benchmarks in social networks," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(2), pages 342-353, February.
- Stewart, Theodor J., 2010. "Goal directed benchmarking for organizational efficiency," Omega, Elsevier, vol. 38(6), pages 534-539, December.
- Ruiz, José L. & Sirvent, Inmaculada, 2019. "Performance evaluation through DEA benchmarking adjusted to goals," Omega, Elsevier, vol. 87(C), pages 150-157.
- Sung Chul Park & Jang Hee Lee, 2018. "Supplier selection and stepwise benchmarking: a new hybrid model using DEA and AHP based on cluster analysis," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(3), pages 449-466, March.
- Ghahraman, Abaghan & Prior, Diego, 2016. "A learning ladder toward efficiency: Proposing network-based stepwise benchmark selection," Omega, Elsevier, vol. 63(C), pages 83-93.
- Hirofumi Fukuyama & Roman Matousek & Nickolaos G. Tzeremes, 2022. "Minimum distance efficiency measure in bank production: A directional slack inefficiency approach," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 73(8), pages 1742-1754, August.
- Yang, Jian-Bo & Wong, Brandon Y.H. & Xu, Dong-Ling & Stewart, Theodor J., 2009. "Integrating DEA-oriented performance assessment and target setting using interactive MOLP methods," European Journal of Operational Research, Elsevier, vol. 195(1), pages 205-222, May.
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Data envelopment analysis; Bi-level programming; Planning; Benchmarking; Target setting;All these keywords.
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