Duality analysis in technologies with weak disposability

Subject Areas : Statistics

Homeira Amirmohammadi ¹ , Alireza Amirteimoori ² , Sohrab Kordrostami ³ , Mohsen Vaez-Ghasemi ⁴

1 - Department of Applied Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
2 - Department of Applied Mathematics, Rasht branch, Islamic Azad University, Rasht, Iran
3 - Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
4 - Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.

Received: 2020-06-21 Accepted : 2020-12-15 Published : 2022-06-22

Keywords: خروجی‌های نامطلوب, دوآلیتی, دسترسی پذیری ضعیف, تحلیل پوششی داده ها,

Abstract :

In data envelopment analysis (DEA) models, the weak disposability axiom has been used for undesirable outputs such as environmental pollutants in many cases. Considering this axiom, different models are exhibited to assess the efficiency of units under evaluation. In this paper, we express duality in weak disposability models proposed by Kousmanen (2005) and Amirteimoori et al. (2017). In the following, economical interpretations of dual are represented in the abovementioned technologies. Also, projection points for inefficient units will be introduced; then, proposed methods will also be explained in an application that includes different designs for the production line of a company.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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