Data Science and Productivity Analytics by Unknown

Author:Unknown
Language: eng
Format: epub
ISBN: 9783030433840
Publisher: Springer International Publishing

Proof

Firstly, we know that any optimal solution of model (7.7) is a Pareto-optimal solution of model (7.4). Because Model (7.4) is multiple-objective programming model which has the same constraints as model (7.7) and pursues the minimization of both and , the projected DMU () obtained by the optimal solution created from model (7.7) is obviously a projected DMU in model (7.4). According to Theorem 7.2, the projected DMU from model (7.7) must be overall efficient. □

Theorem 7.5

Model (7.7) provides unique divisional efficiencies.

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