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Mahboubi, Morassa, Kordrostami, Sohrab, Amirteimoori, Alireza, Ghane-Kanafi, Armin. (1400). Performance Analysis and Calculation of Marginal Rates in the Presence of Undesirable Input-output Factors and Non-Discretionary Indexes. , 13(3), 492-513. doi: 10.22059/imj.2022.296478.1007710
Morassa Mahboubi; Sohrab Kordrostami; Alireza Amirteimoori; Armin Ghane-Kanafi. "Performance Analysis and Calculation of Marginal Rates in the Presence of Undesirable Input-output Factors and Non-Discretionary Indexes". , 13, 3, 1400, 492-513. doi: 10.22059/imj.2022.296478.1007710
Mahboubi, Morassa, Kordrostami, Sohrab, Amirteimoori, Alireza, Ghane-Kanafi, Armin. (1400). 'Performance Analysis and Calculation of Marginal Rates in the Presence of Undesirable Input-output Factors and Non-Discretionary Indexes', , 13(3), pp. 492-513. doi: 10.22059/imj.2022.296478.1007710
Mahboubi, Morassa, Kordrostami, Sohrab, Amirteimoori, Alireza, Ghane-Kanafi, Armin. Performance Analysis and Calculation of Marginal Rates in the Presence of Undesirable Input-output Factors and Non-Discretionary Indexes. , 1400; 13(3): 492-513. doi: 10.22059/imj.2022.296478.1007710

Performance Analysis and Calculation of Marginal Rates in the Presence of Undesirable Input-output Factors and Non-Discretionary Indexes

Industrial Management Journal
دوره 13، شماره 3، 2022، صفحه 492-513    اصل مقاله (509.16 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/imj.2022.296478.1007710
نویسندگان
Morassa Mahboubi1؛ Sohrab Kordrostami* 2؛ Alireza Amirteimoori3؛ Armin Ghane-Kanafi4
1Ph.D. Candidate, Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
2Prof., Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
3Prof., Department of Applied Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.
4Assistant Prof., Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
چکیده
Objective: In many production processes, the efficiency of decision-making units should be investigated in the presence of undesirable inputs and outputs and non-discretionary factors. It is also important for managers to examine the impact of changes on one index on another. Therefore, the purpose of this paper is to develop an approach to estimate the efficiency of systems with undesirable inputs and outputs and non-discretionary measures and also to analyze changes.
Methods: First, a novel approach based on data envelopment analysis was presented in order to analyze efficiency in the presence of undesirable input-output indices and non-discretionary factors. In fact, the new weak disposability axiom was used and the efficiency of the systems was investigated in the presence of undesirable input-output index and non-discretionary factors. Then the impact of changes of one non-discretionary index on another index was measured by maintaining efficiency, and the marginal rates of these changes were calculated.
Results: In order to explain the proposed method in practice, an applied example provided based on 31 branches of Islamic Azad University (department of education) was presented and the results were discussed and analyzed. By using the suggested method, the efficiency scores and the impact of modifications were obtained.
Conclusion: Performance scores related to branches indicated that most of them behaved well. Also, it was observed that always increasing (decreasing) one index, while maintaining efficiency, does not end in an increase (decrease) in another index but it may remain unchanged or decreased (increased). Due to the inclusion of undesirable input and output measures and non-discretionary factors, the results of the proposed method were more acceptable than the classical DEA models.
کلیدواژه‌ها
Data envelopment analysis؛ Marginal rates of substitution؛ Undesirable factors؛ Non-discretionary factors؛ Weak disposability
مراجع
ابراهیمی کردلر، علی؛ جعفرزاده، عبدالحسین؛ علی احمدی، محمد‏هادی (1397). ارائه مدلی برای ارزیابی کارایی به‎کمک ترکیب مدل اندازه‎گیری با دامنه تعدیل شده و محدودیت‎های وزنی (مطالعه موردی: شعبه‎های شرکت بیمه ایران). مدیریت صنعتی، 10(2)، 161-182.

رمضانیان، محمدرحیم؛ یاکیده، کیخسرو؛ محمدی بازقلعه، نرجس (1399). ارائه مدلی مناسب جهت بهبود طبقه‌بندی چندمعیاره اقلام موجودی با استفاده از مدل (SBM) مطالعه موردی: شرکت صنعتی پارس خزر. مدیریت صنعتی، 12(3)، 485-501.

رادسر، مصطفی؛ کاظمی، عالیه؛ مهرگان، محمد رضا؛ رضوی حاجی‌آقا، سیدحسین (1400). طراحی یک الگوریتم بر پایه تحلیل پوششی داده‌های شبکه‌ای با شاخص‌های خوب و بد به منظور ارزیابی صنعت برق ایران. مدیریت صنعتی، 13 (1)، 1-26.

کاظمی متین، رضا؛ عزیزی، رزا (1391). مدل‌بندی عوامل غیرقابل کنترل در اندازه‏گیری کارایی شرکت‏های برق منطقه‏ای ایران. کیفیت و بهره وری در صنعت برق ایران، 1(1)، 57-63.

محقر، علی؛ صفری، حسین؛ امیرتیموری، علیرضا؛ صوفی، منصور (1395). مدل جدید تحلیل پوششی داده‏ها برای سنجش کارایی واحدهای تصمیم‏گیرنده با ساختار شبکه‏ای موازی. مجله تحقیق در عملیات در کاربردهای آن، 13(3)، 9-26.

 

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