A DEA model for resource allocation
This paper concerns inverse DEA. The aim is to estimate input/output levels of a given Decision Making Unit (DMU) when some or all of its input/output levels are changed, under preserving the efficiency index. We show that in the case of estimating increased required input vector when the output vec...
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| Vydáno v: | Economic modelling Ročník 25; číslo 5; s. 983 - 993 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Amsterdam
Elsevier B.V
01.09.2008
Elsevier Elsevier Science Ltd |
| Edice: | Economic Modelling |
| Témata: | |
| ISSN: | 0264-9993, 1873-6122 |
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| Abstract | This paper concerns inverse DEA. The aim is to estimate input/output levels of a given Decision Making Unit (DMU) when some or all of its input/output levels are changed, under preserving the efficiency index. We show that in the case of estimating increased required input vector when the output vector is increased, the current method which uses weakly efficient solution of the relevant multiple objective optimization problem may fail. We propose some sufficient conditions for input estimation. |
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| AbstractList | This paper concerns inverse DEA. The aim is to estimate input/output levels of a given Decision Making Unit (DMU) when some or all of its input/output levels are changed, under preserving the efficiency index. We show that in the case of estimating increased required input vector when the output vector is increased, the current method which uses weakly efficient solution of the relevant multiple objective optimization problem may fail. We propose some sufficient conditions for input estimation. This paper concerns inverse DEA. The aim is to estimate input/output levels of a given Decision Making Unit (DMU) when some or all of its input/output levels are changed, under preserving the efficiency index. We show that in the case of estimating increased required input vector when the output vector is increased, the current method which uses weakly efficient solution of the relevant multiple objective optimization problem may fail. We propose some sufficient conditions for input estimation. All rights reserved, Elsevier This paper concerns inverse DEA. The aim is to estimate input/output levels of a given Decision Making Unit (DMU) when some or all of its input/output levels are changed, under preserving the efficiency index. We show that in the case of estimating increased required input vector when the output vector is increased, the current method which uses weakly efficient solution of the relevant multiple objective optimization problem may fail. We propose some sufficient conditions for input estimation. [PUBLICATION ABSTRACT] |
| Author | Hadi-Vencheh, Abdollah Foroughi, Ali Asghar Soleimani-damaneh, Majid |
| Author_xml | – sequence: 1 givenname: Abdollah surname: Hadi-Vencheh fullname: Hadi-Vencheh, Abdollah email: ahadi@khuisf.ac.ir organization: Department of Mathematics, Islamic Azad University, P.O. Box 81595-158, Khorasgan, Isfahan, Iran – sequence: 2 givenname: Ali Asghar surname: Foroughi fullname: Foroughi, Ali Asghar organization: Department of Mathematics, University of Qom, Isfahan old road, Qom 37165, Iran – sequence: 3 givenname: Majid surname: Soleimani-damaneh fullname: Soleimani-damaneh, Majid organization: School of Mathematics, Statistics and Computer Science, University College of Science, University of Tehran, Tehran, Iran |
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| Cites_doi | 10.1287/mnsc.30.9.1078 10.1016/0304-4076(90)90045-U 10.1016/S0377-2217(01)00046-7 10.1016/S0377-2217(99)00095-8 10.2307/3439974 10.1016/S0096-3003(03)00210-8 10.1016/S0377-2217(99)00007-7 10.1016/0377-2217(78)90138-8 |
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| Keywords | Data Envelopment Analysis (DEA) Efficiency Multiple Objective Linear Programming (MOLP) |
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| References_xml | – volume: 2 start-page: 429 year: 1978 end-page: 444 ident: bib2 article-title: Measuring the efficiency of decision making units publication-title: European Journal of Operational Research – volume: 150 start-page: 203 year: 2004 end-page: 211 ident: bib4 article-title: Finding a weights-restricted efficient (extreme) point and using it for solving MOLP problems publication-title: Applied Mathematics and Computation – volume: 136 start-page: 19 year: 2002 end-page: 31 ident: bib11 article-title: DEA models for resource reallocation and production input/output estimation publication-title: European Journal of Operational Research – year: 1999 ident: bib3 article-title: Data Envelopment Analysis: A Comprehensive Text With Models, Applications, References and DEA-Solver Software – volume: 87 start-page: 594 year: 1985 end-page: 604 ident: bib5 article-title: A nonparametric cost approach to scale efficiency publication-title: Scandinavian Journal of Economics – volume: 30 start-page: 1078 year: 1984 end-page: 1092 ident: bib1 article-title: Some models for estimating technical and scale efficiencies in data envelopment analysis publication-title: Management Science – volume: 121 start-page: 151 year: 2000 end-page: 163 ident: bib10 article-title: An inverse DEA model for input/output estimate publication-title: European Journal of Operational Research – reference: Hadi-Vencheh, A., 2007. Measuring and comparing efficiency of educational departments of Azad University of Mobarakeh—Iran by DEA, Working paper. Department of Applied Mathematics, Azad University of Mobarakeh. – year: 1986 ident: bib8 article-title: Multiple Criteria Optimization: Theory, Computation, and Application – volume: 46 start-page: 7 year: 1990 end-page: 38 ident: bib7 article-title: Recent developments in DEA, the mathematical programming approach to frontier analysis publication-title: Journal of Econometrics – volume: 122 start-page: 570 year: 2000 end-page: 583 ident: bib9 article-title: Optimization over the efficient set of a parametric multiple objective linear programming problem publication-title: European Journal of Operational Research – volume: 30 start-page: 1078 year: 1984 ident: 10.1016/j.econmod.2008.01.003_bib1 article-title: Some models for estimating technical and scale efficiencies in data envelopment analysis publication-title: Management Science doi: 10.1287/mnsc.30.9.1078 – year: 1986 ident: 10.1016/j.econmod.2008.01.003_bib8 – volume: 46 start-page: 7 year: 1990 ident: 10.1016/j.econmod.2008.01.003_bib7 article-title: Recent developments in DEA, the mathematical programming approach to frontier analysis publication-title: Journal of Econometrics doi: 10.1016/0304-4076(90)90045-U – volume: 136 start-page: 19 year: 2002 ident: 10.1016/j.econmod.2008.01.003_bib11 article-title: DEA models for resource reallocation and production input/output estimation publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(01)00046-7 – ident: 10.1016/j.econmod.2008.01.003_bib6 – volume: 122 start-page: 570 year: 2000 ident: 10.1016/j.econmod.2008.01.003_bib9 article-title: Optimization over the efficient set of a parametric multiple objective linear programming problem publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(99)00095-8 – year: 1999 ident: 10.1016/j.econmod.2008.01.003_bib3 – volume: 87 start-page: 594 year: 1985 ident: 10.1016/j.econmod.2008.01.003_bib5 article-title: A nonparametric cost approach to scale efficiency publication-title: Scandinavian Journal of Economics doi: 10.2307/3439974 – volume: 150 start-page: 203 year: 2004 ident: 10.1016/j.econmod.2008.01.003_bib4 article-title: Finding a weights-restricted efficient (extreme) point and using it for solving MOLP problems publication-title: Applied Mathematics and Computation doi: 10.1016/S0096-3003(03)00210-8 – volume: 121 start-page: 151 issue: 1 year: 2000 ident: 10.1016/j.econmod.2008.01.003_bib10 article-title: An inverse DEA model for input/output estimate publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(99)00007-7 – volume: 2 start-page: 429 year: 1978 ident: 10.1016/j.econmod.2008.01.003_bib2 article-title: Measuring the efficiency of decision making units publication-title: European Journal of Operational Research doi: 10.1016/0377-2217(78)90138-8 |
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| SubjectTerms | Data analysis Data envelopment analysis Data Envelopment Analysis (DEA) Decision making Decision making units Economic models Efficiency Efficiency index Estimation Input output analysis Multiple Objective Linear Programming (MOLP) Optimization Programming Resource allocation Studies |
| Title | A DEA model for resource allocation |
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