Context-Dependent Data Envelopment Analysis and its Use
TL;DR: This chapter presents a slack-based context-dependent DEA approach that allows us to fully evaluate the inefficiency in a DMU’s performance.
Abstract: Data envelopment analysis (DEA) is a methodology for identifying the efficient frontier of decision making units (DMUs). Context-dependent DEA refers to a DEA approach where a set of DMUs is evaluated against a particular evaluation context. Each evaluation context represents an efficient frontier composed by DMUs in a specific performance level. The context-dependent DEA measures the attractiveness and the progress when DMUs exhibiting poorer and better performance are chosen as the evaluation context, respectively. This chapter also presents a slack-based context-dependent DEA approach. In DEA, nonzero input and output slacks are very likely to present after the radial efficiency score improvement. The slack-based context-dependent DEA allows us to fully evaluate the inefficiency in a DMU’s performance.
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Cites background from "Context-Dependent Data Envelopment ..."
...Then the sequences of Jl and El are defined as Jl+1=Jl – El (Morita and Zhu, 2010)....
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...When this new second-level best-practice frontier is removed, a third-level best-practice frontier is constructed, and so on, until no DMU is left (Morita and Zhu, 2010)....
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Cites methods from "Context-Dependent Data Envelopment ..."
...In the second stage, context-dependent DEA (Morita and Zhu, 2007) are used....
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References
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"Context-Dependent Data Envelopment ..." refers background in this paper
...In model ( 2 ), each efficient frontier represents an evaluation context for evaluating the relative attractiveness of DMUs in '...
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...Therefore, (4) is equivalent to ( 2 ), and we have that ' 1...
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"Context-Dependent Data Envelopment ..." refers background or methods in this paper
...Model ( 1 ) yields a stratification of the whole set of DMUs, which partitions into different subgroups of efficiency levels characterized by l...
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...Actually, when 1 l = , model ( 1 ) gives the reference set of DMUs from the efficient DMUs for inefficient DMUs....
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...When 2 l = , model ( 1 ) gives the second-level efficient frontier after the exclusion of the firstlevel efficient DMUs....
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...J + , by model ( 1 ) to obtain a new set of efficient DMUs 1...
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...model ( 1 ) becomes the original input-oriented CCR model (Charnes, Cooper and Rhodes, 1978) and 1...
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"Context-Dependent Data Envelopment ..." refers background in this paper
...s + represent the optimal values in ( 8 ). 3. SLACK-BASED CONTEXT-DEPENDENT DEA...
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