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## expanding the two-stage network series model with independent input and output in each stage and solving it by minimizing the loss in the network and using it in improving the supply chain and presenting the modified model | ||

Journal of New Researches in Mathematics | ||

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 06 مهر 1402 | ||

نوع مقاله: research paper | ||

شناسه دیجیتال (DOI): 10.30495/jnrm.2023.70870.2356 | ||

نویسندگان | ||

maziar shirvani moghaddam^{1}؛ esmaeel najafi^{2}؛ زهره مقدس ^{} ^{3}؛ Mehran Khalaj^{4}
| ||

^{1}Department of Industrial engineering, Faculty of engineering, central Tehran Branch | ||

^{2}Associate Professor , Department of Industrial engineering, Faculty of engineering, science and research branch, Islamic Azad University, | ||

^{3}QIAU, Qazvin, Iran Tehran, IAU | ||

^{4}گروه مهندسی صنایع، دانشکده فنی، دانشگاه آزاد اسلامی واحد پرند و رباط کریم | ||

چکیده | ||

Calculating efficiency in network models is one of the most important developments that happened in the concept of DEA. Data envelopment analysis was originally developed to calculate the performance of DMUs as a unit, regardless of what happens in the internal structure of those units. In other words, the system acts as a black box. The effect of the output and what correlation exists between them and what happens in the path between the input and the final output were not mentioned. This issue was challenged and network DEA models were formed. Solving these models is one of the main issues in the field of efficiency calculation. In this study, the network models in the literature of this subject are examined and the solutions that have been presented for it are examined. We investigated the fully expanded model of a network with 2 stages and independent input and output in each stage by minimizing the loss in each stage and presented a new solution method for this problem. This model provides a comprehensive solution for networks that contain There are many different steps and inputs and outputs. This model allows the monitoring of network steps along with the entire network. At the end, we examine the presented model in a real supply chain and improve the final model by focusing on the inputs and outputs and their role on the supply chain process and compare the results with the original model | ||

کلیدواژهها | ||

Envelopment analysis of network data؛ 9 network models؛ loss minimization؛ stage efficiency؛ supply chain | ||

آمار تعداد مشاهده مقاله: 28 |