ترسیم مرز کارایی در ساختارهای دومرحله‌ای: رویکرد ورودی - خروجی‌محور شعاعی و غیرشعاعی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 کارشناسی ارشد، گروه مدیریت، دانشکده علوم اداری و اقتصاد، دانشگاه ولی‌عصر (عج) رفسنجان، رفسنجان، ایران.

2 استادیار، گروه مدیریت، دانشکده علوم اداری و اقتصاد، دانشگاه ولی‌عصر (عج) رفسنجان، رفسنجان، ایران.

3 دانشیار، گروه مدیریت، دانشکده علوم اداری و اقتصاد، دانشگاه ولی‌عصر (عج) رفسنجان، رفسنجان، ایران.

چکیده

مدل­‌های اولیه تحلیل پوششی داده‌­ها به ­دلیل دیدگاه جعبه سیاه و بی­‌توجهی به فرایندهای داخلی، برای ارزیابی ساختارهای دومرحله‌­ای مناسب نیستند. در این ساختارها ترسیم مرز کارایی و تعیین عادلانه مقدار بهینه متغیرها مهم‌­ترین چالش است. در بسیاری از مدل­‌های دومرحله‌­ای موجود مرز کارایی ترسیم نشده است و یا مقدار بهینه متغیرهای میانی توسط یکی از دو مرحله تعیین می­‌شود. این امر به محاسبه اشتباه کارایی مرحله دیگر و کارایی کل منجر می­‌شود. درواقع در این مدل­‌ها ضعف عملکرد یک مرحله به کاهش کارایی مرحله دیگر منجر خواهد شد. در این پژوهش با ثابت­‌ نگه­داشتن متغیرهای میانی در سطح فعلی و با یک رویکرد ورودی-خروجی­‌محور، مدل­‌های شعاعی و غیرشعاعی در شرایط بازده به مقیاس ثابت و متغیر توسعه داده شده است؛ سپس با استفاده از قضایای ریاضی اعتبار مدل‌­ها اثبات و نشان داده شده که در مدل­‌های پیشنهادی عملکرد واحدها در مراحل با واحدی روی مرز کارایی مقایسه می­‌شود و مدل‌­ها با رساندن مراحل به مرز کارایی، کل ساختار را کارا می­‌کنند. از مدل­‌های پیشنهادی در یک مطالعه کاربردی برای ارزیابی پایداری 9 زنجیره تأمین شرکت­‌های تولیدکننده رب گوجه استفاده شد. نتایج کارایی آن­ها با چهار مدل و همچنین مقدار بهینه متغیرهای واحدهای ناکارا در هر یک از این مدل­‌ها بیان شده است.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Deriving the Efficiency Frontier for Two-Stage Structures: Input – Output Oriented Approach of Radial and Non-Radial

نویسندگان [English]

  • Amir Ebrahimi 1
  • Reza Soleymani-Damaneh 2
  • Abbas Shoul 3
1 MA, Department of Management, Faculty of Administrative Sciences and Economics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
2 Assistant Professor, Department of Management, Faculty of Administrative Sciences and Economics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
3 Associate Professor, Department of Management, Faculty of Administrative Sciences and Economics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
چکیده [English]

Early models of data envelopment analysis are not suitable for evaluating two-stage structures due to the black box view and lack of attention to internal processes. In these structures, Deriving the efficiency frontier and fairly determining the optimal value of variables is the most important challenge. In many existing two-stage models, the efficiency frontier is not plotted or the optimal value of intermediate variables is determined by one of two steps. This leads to incorrect calculation of the efficiency of the next stage and the total efficiency. In fact, in these models, poor performance of one stage leads to reduced efficiency of the other stage. In this study, by keeping the intermediate variables constant at the current level and with an input-output oriented approach, radial and non-radial models were developed on a constant and variable returns to scale in terms of efficiency. Using mathematical relations, the validity of the models was proved and shown that in the proposed models, the performance of the units in steps is compared with a unit on the efficiency frontier, and the models make the whole structure efficient by bringing the steps to the efficiency frontier. The proposed models were used in an applied study to evaluate the sustainability of nine supply chains of tomato producers. Their performance results were expressed by four models as well as the optimal value of inefficient unit variables in each of these models.

کلیدواژه‌ها [English]

  • Efficiency؛ Fairness Evaluation؛ Two-Stage DEA؛ Supply Chain Sustainability
  • Non-Oriented Models

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