Providing a model based on auxiliary variables for calculating the efficiency and effectiveness of metro stations in Tehran in the analysis of data coverage with inputs and outputs

Subject Areas : Statistics

Ali mohammad Gholiha ¹ , Farhad Hosseinzadeh Lotfi ² , Mohammadreza Shahriari ³ , Mohsen Vaez-Ghasemi ⁴

1 - Department of Industrial Management, UAE Branch, Islamic Azad University
2 - Department of mathematics, IUA, SRB
3 - Faculty member of Islamic Azad University, South Tehran Branch
4 - Department of Mathematics, Rasht Branch, Islamic Azad University, Gilan, Iran.

Received: 2019-03-18 Accepted : 2019-05-13 Published : 2020-12-21

Keywords: اثر بخشی, ورودی ها و خروجی های وابسته, کارایی, دو مرحله ای, تحلیل پوششی داده ها,

Abstract :

The relative efficiency of a set of decision makers with multiple inputs and outputs is obtained by analyzing data coverage. One of the main assumptions of the classic models of data envelopment analysis is to consider each decision maker as a black box. Also, the independence of inputs and outputs is relative to each other. In this paper, the performance of subway stations in Tehran is determined by considering the two stage network structure in which the first stage indicates efficiency and the second stage demonstrates its effectiveness, and then, with regard to the presence of indicators, the input depends on In the first and second stages, the two stage models were modified and the resulting model was used for 71 metro stations in Tehran, and finally, 3 effective stations and 2 stations were effective. In total, of the 71 stations, no one of the metro stations have been operating efficiently.

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