2007•Journal of systems engineeringRequires access

Inverse DEA model based on extemded efficiency

Yu Peng

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Abstract

In order to overcome the dominant positional faults of the assessed DMU in DEA models in evaluating efficiency and ranking DMUs,based on the extended DEA model,the problem of inverse DEA with reducing of output is discussed.By solving the relevant multi-object programming(VP),some correlative qualities between the weak Pareto efficient solution of(VP) and the optimal value of the programming evaluating the DMU with reducing of output are obtained.The similar discussion is done for the DMU which is weak DEA efficient.Some examples are illustrated.

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What this paper is about

In order to overcome the dominant positional faults of the assessed DMU in DEA models in evaluating efficiency and ranking DMUs,based on the extended DEA model,the problem of inverse DEA with reducing of output is discussed.By solving the relevant multi-object programming(VP),some correlative qualities between the weak Pareto efficient solution of(VP) and the optimal value of the programming evaluating the DMU with reducing of output are obtained.The similar discussion is done for the DMU which is weak DEA efficient.Some examples are illustrated.

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Available abstract

In order to overcome the dominant positional faults of the assessed DMU in DEA models in evaluating efficiency and ranking DMUs,based on the extended DEA model,the problem of inverse DEA with reducing of output is discussed.By solving the relevant multi-object programming(VP),some correlative qualities between the weak Pareto efficient solution of(VP) and the optimal value of the programming evaluating the DMU with reducing of output are obtained.The similar discussion is done for the DMU which is weak DEA efficient.Some examples are illustrated.

Key concepts: Ranking (information retrieval), Inverse, Mathematical optimization, Pareto principle, Data envelopment analysis, Computer science, Value (mathematics), Order (exchange)

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