Determining returns to scales the left and right in a two-stage green supply chain using network data envelopment analysis

Subject Areas : تحقیق در عملیات

Rohollah Sharafeddin ¹ , Amir Gholam Abri ² , Mohammad Fallah ³

1 - PhD student in Industrial Engineering , Islamic Azad University Roudehen Branch,Iran
2 - Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran
3 - Department of Industrial Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Received: 2022-06-25 Accepted : 2022-12-05 Published : 2023-09-23

Keywords: فرآیند تولید دو مرحله‌ای, تحلیل پوششی داده‌ها (DEA), کارایی نسبی, بازده به مقیاس چپ (L-RTS), بازده به مقیاس راست (R-RTS),

Abstract :

In the present age, evaluating and then improving the performance of production systems and supply chains as a whole is the only possible way to compete in the global business market. Data Envelopment Analysis (DEA) is a non-parametric method for measuring the relative efficiency of production systems and decision-making units with multiple homogeneous inputs and outputs as a mathematical programming method. Determining the type of return to scale (RTS) helps managers make more accurate predictions about the expansion or limitation of the decision-making unit (DMU). Due to the importance of RTS in relation to management decisions, various methods have been proposed by DEA researchers to introduce and determine its type. Research in RTS evaluation has led to a more general classification of RTS types, with the titles Left return to scale (L-RTS) and Right return to scale (R-RTS). This research studies the two-stage production process and introduces an approach to estimating the type of efficiency on the right and left scales of DMUs. In this paper, the application of the DEA network model to calculate the relative efficiency and return to scale of cement companies listed on the stock exchange has been studied. The data used in the model is related to the production process of 42 cement companies in 2020.