Determining the Russell Technical Efficiency of measure in the Presence of Flexible Factors based on slack variables

Subject Areas : Statistics

Majid Sedighi Hassan Kiyadeh ¹ ( Department of Applied Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran. )
Saber Saati Mohtadi ² ( Department of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, Iran.Iran. )
Sohrab Kordrostami ³ ( Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran. )

Received: 2019-07-12 Accepted : 2020-01-09 Published : 2021-02-19

Keywords: شاخص‌های انعطاف‌پذیر, اندازه‌گیری راسل, اندازه‌ی کارآیی مبتنی بر متغیرهای کمکی (SBM), مساله برنامه‌ریزی صفر-یک, تحلیل پوششی داده‌ها,

Abstract :

The role of some factors is not completely clear as an input or an output in many real applications of Data Envelopment Analysis (DEA). In other words, some Decision Making Units (DMUs) can use a factor as an input while it may play an output role in other DMUs. This type of factors is called flexible factors. In this paper, a model is proposed to develop models of flexible factors type in the DEA model. This model, at the same time, minimizes the inputs contraction factor and maximizes the outputs expansion factor in the Russell efficiency measure, in presence of flexible factors. The proposed measure in objective function is linear. In the other words, the relation between the factors is suggested as an additive function. In fact, the proposed model, in contrast the Russell measure is not nonlinear. By an illustrated example, the proposed model is compared with the existing models.

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