### Abstract

In efficiency measurement, the input and output factors of similar characteristics can be grouped into input and output categories, respectively, using a weighted-average approach under the data envelopment analysis (DEA) framework to form a two-level DEA model. The resulting two-level model is nonlinear. This note transforms the nonlinear model into a linear one using a variable substitution technique. Linear models are easier to solve than their nonlinear counterparts. The linear transformation is applicable to the two-level model built from both the primal and dual forms of the conventional one-level DEA model. The linear model transformed from the nonlinear model developed from the primal form has a dual which is equivalent to the nonlinear model developed from the dual form.

Original language | English |
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Pages (from-to) | 958-962 |

Number of pages | 5 |

Journal | Omega |

Volume | 36 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2008 Dec 1 |

### All Science Journal Classification (ASJC) codes

- Strategy and Management
- Management Science and Operations Research
- Information Systems and Management

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## Cite this

*Omega*,

*36*(6), 958-962. https://doi.org/10.1016/j.omega.2008.01.002