An enhanced Russell model to measure aggregate efficiency of multi-period production systems

Subject Areas : Statistics

Mohammad Najari Alamouti ¹ ( PhD Student in Applied Mathematics, Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran )
Mohsen Khounsiavash ² ( Assistant Professor, Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran )
Reza Kazimi Matin ³ ( Associate Professor, Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran )
Zohreh Moghaddas ⁴ ( Assistant Professor, Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran )

Received: 2020-07-02 Accepted : 2021-09-07 Published : 2022-01-21

Keywords: تحلیل پوششی داده‌ها, واحدهای تصمیم گیرنده, اندازه راسل, کارایی, تولید چند دوره‌ای,

Abstract :

Performance evaluation of the production systems by considering data related to different time periods is one of the most important issues of production theory. In this paper, a new method for measuring the aggregative efficiency of multi-period production systems using the data envelopment analysis (DEA) technique is proposed. The provided approach could be considered as extension of the radial methods in the literature. An extended Russell based model is presented for the first time to measure aggregative efficiency with respect to the time intervals of the production stages. One of the useful features of the proposed model is that the inefficiency of the existing aggregative approach is detected in one step without need to account for the second stage of optimizing slack variables. Some properties and advantages of the new model is discussed. Finally, to illustrate the applicability of the new approach, two practical examples are investigated and analyzed. The results show the good performance of the proposed method.

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