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Asadi, F., Kordrostami, S., Amirteimoori, AR., Bazrafshan, M.. (1402). An Inverse Two-Stage FDH Model in the Presence of Shared Resources. , 15(2), 175-188. doi: 10.30495/ijim.2022.65675.1575
F. Asadi; S. Kordrostami; AR. Amirteimoori; M. Bazrafshan. "An Inverse Two-Stage FDH Model in the Presence of Shared Resources". , 15, 2, 1402, 175-188. doi: 10.30495/ijim.2022.65675.1575
Asadi, F., Kordrostami, S., Amirteimoori, AR., Bazrafshan, M.. (1402). 'An Inverse Two-Stage FDH Model in the Presence of Shared Resources', , 15(2), pp. 175-188. doi: 10.30495/ijim.2022.65675.1575
Asadi, F., Kordrostami, S., Amirteimoori, AR., Bazrafshan, M.. An Inverse Two-Stage FDH Model in the Presence of Shared Resources. , 1402; 15(2): 175-188. doi: 10.30495/ijim.2022.65675.1575

An Inverse Two-Stage FDH Model in the Presence of Shared Resources

International Journal of Industrial Mathematics
دوره 15، شماره 2، مهر 2023، صفحه 175-188  XML اصل مقاله (367.56 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.30495/ijim.2022.65675.1575
نویسندگان
F. Asadi1؛ S. Kordrostami email orcid 2؛ AR. Amirteimooriorcid 3؛ M. Bazrafshan4
1Department of Industrial Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
2Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
3Department of Applied Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.
4Department of Industrial Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran
چکیده
In this research, two-stage networks are considered in which there are common resources between both stages. Also, there are links between the first and second stages that are undesirable for the first stage. Two models are rendered, the first is a model for calculating the efficiency of the mentioned two-stage processes under the non-convex technology and the second model is an inverse model for calculating output values through input changes. The changes are such that efficiency values remain constant. Actually, at first, a non-radial network free disposal hull (FDH) model is planned to evaluate the entire and stage efficiencies of two-stage processes with shared resources. The introduced framework is a mixed integer nonlinear programming plan and is computed using a heuristic approach. Then, an inverse two-stage FDH approach is presented to determine outputs related to two stages for perturbing inputs of each stage while the efficiency values remain unchanged. To clarify the proposed models, an application from the literature is used.
کلیدواژه‌ها
Data envelopment analysis؛ Two-stage system؛ Inverse DEA؛ Free disposal hull (FDH)؛ Shared. resources
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