Constructions of economic functions and calculations of marginal rates in DEA using parametric optimization methods
The aim of the paper is to present and substantiate a technique to visualize DEA modelling results without any loss of mathematical rigour. The proposed family of parametric optimization methods allows one to construct an intersection of the multidimensional frontier with a two-dimensional plane det...
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| Veröffentlicht in: | The Journal of the Operational Research Society 2004-10, Vol.55 (10), p.1049-1058 |
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| container_issue | 10 |
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| container_title | The Journal of the Operational Research Society |
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| creator | Krivonozhko, V E Utkin, O B Volodin, A V Sablin, I A Patrin, M |
| description | The aim of the paper is to present and substantiate a technique to visualize DEA modelling results without any loss of mathematical rigour. The proposed family of parametric optimization methods allows one to construct an intersection of the multidimensional frontier with a two-dimensional plane determined by any pair of given directions. This approach reduces the efficiency analysis of production units to the investigation of well-known functions in economics. We also propose constructive methods to calculate marginal rates of substitution, marginal rates of transformation and so on. |
| doi_str_mv | 10.1057/palgrave.jors.2601759 |
| format | Article |
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| subjects | Algorithms Applied mathematics Banks Business and Management Commercial production Data envelopment analysis DEA Economically efficient production Economics Efficiency Geometric planes Management Mathematical functions Mathematical vectors Operations research Operations Research/Decision Theory Optimization Optimization algorithms parametric optimization algorithms Part Special Issue Paper Part Special Issue: Data Envelopment Analysis Partial derivatives Production functions Studies Vertices |
| title | Constructions of economic functions and calculations of marginal rates in DEA using parametric optimization methods |
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