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

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Sedighi Hassan Kiyadeh Majid; SAATI SABER; KORDROSTAMI SOHRAB

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Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2021 | Volume:6 | Issue:28 Page(s): 5-15

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Title

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

Author(s)

Sedighi Hassan Kiyadeh Majid | SAATI SABER | KORDROSTAMI SOHRAB | Issue Writer Certificate

Keywords

Data envelopment analysis

flexible factors

binary programming

slacks-based measure of efficiency

Russell's measurement

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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APA: Copy

Sedighi Hassan Kiyadeh, Majid, SAATI, SABER, & KORDROSTAMI, SOHRAB. (2021). Determining the Russell Technical Efficiency of measure in the Presence of Flexible Factors based on slack variables. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 6(28 ), 5-15. SID. https://sid.ir/paper/952278/en

Vancouver: Copy

Sedighi Hassan Kiyadeh Majid, SAATI SABER, KORDROSTAMI SOHRAB. Determining the Russell Technical Efficiency of measure in the Presence of Flexible Factors based on slack variables. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2021;6(28 ):5-15. Available from: https://sid.ir/paper/952278/en

IEEE: Copy

Majid Sedighi Hassan Kiyadeh, SABER SAATI, and SOHRAB KORDROSTAMI, “Determining the Russell Technical Efficiency of measure in the Presence of Flexible Factors based on slack variables,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 6, no. 28 , pp. 5–15, 2021, [Online]. Available: https://sid.ir/paper/952278/en

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