نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار گروه ریاضی کاربردی، دانشگاه آزاد اسلامی، واحد سیرجان، سیرجان، ایران

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

3 کارشناسی ارشد رشته مدیریت صنعتی، دانشکده علوم اداری و اقتصاد، دانشگاه ولی‌عصر(عج)، رفسنجان، ایران

چکیده

تحلیل پوششی داده‌ها رویکردی مبتنی بر برنامه‌ریزیِ ریاضی، برای ارزیابیِ نسبیِ واحدهای تصمیم‌گیرنده‌‌ای است که مانند سیستم‌های تولیدیِ مشابه و متمایزی در نظر گرفته می‌شوند. در این رویکرد، عملکرد هر واحد در قالب عملیاتِ تبدیل ‌منابع (ورودی‌ها) به محصولات (خروجی‌ها)، توصیف می‌گردد. در مدل‌های سنتیِ تحلیلِ پوششیِ داده‌ها، فرض بر این است که نقشِ هر عاملِ عملکردی (به‌عنوان ورودی یا خروجی) مشخص است، اما در برخی از مسائل دنیایِ واقعی، ممکن است یک یا چند عامل، با توجه به ماهیتِ ارزیابی و یا نگرشِ تصمیم‌گیرندگان، به‌عنوان عوامل دونقشی معرفی شوند. این عوامل می‌توانند نقش ورودی، خروجی و یا حتی نقش بی‌اثر در ارزیابیِ عملکرد واحدها ایفا کنند. در مقاله‌ی حاضر دو مدل جدید برنامه‌ریزی خطی مبتنی بر مفاهیم انحراف در شرط کارایی و اوزان مشترک، برای تعیین وضعیت عوامل دونقشی و سپس محاسبه‌ی کاراییِ واحدهای تصمیم‌گیرنده ارائه می‌شود. مزایای اصلیِ مدل‌های پیشنهادی کاهش چشمگیر محاسبات و تعداد دفعات حل مدل و همچنین دخالت دادن همه‌ی واحدهای تصمیم‌گیرنده جهت تعیین نقشِ یک‌باره‌ی عامل‌ها جهت ارزیابی واحدهای تصمیم‌گیرنده است. به‌منظور بررسی عملکرد مدل‌های پیشنهادی، از داده‌های مربوط به ارزیابیِ هیجده تأمین‌کننده در حضور دو ورودی، سه خروجی و دو عامل دونقشی استفاده شده است. نتایج به‌دست‌آمده، نشان داد که در مقایسه با مدل‌های دیگر، مدل‌های پیشنهادی هم ازنظر محاسباتی به‌صرفه‌تر بوده و هم تعیین نقش و ارزیابی واحدها به کمک وزن‌های به‌دست‌آمده از این مدل‌ها، انتظارات موردنظر تصمیم‌گیرندگان را بهتر و منطقی‌تر برآورده می‌کنند.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Determining the efficiency of decision-making units using the technique of data envelopment analysis in the presence of dual-role performance factors

نویسندگان [English]

  • Esmaeil Keshavarz 1
  • abbas shoul 2
  • Ali Fallah Tafti 3

1 Department of Mathematics, Islamic Azad University, Sirjan Branch, Sirjan, Iran

2 Associate Professor, Faculty of Administrative Sciences and Economics Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

3 Master of Industrial Engineering, Faculty of Administrative Sciences and Economics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

چکیده [English]

Data Envelopment Analysis (DEA) is an approach based on mathematical programming for the relative evaluation of decision-making units treated as similar yet distinct production systems. In this approach, the performance of each unit is characterized by describing the transformation of specific inputs into specific outputs. Traditional DEA models assume that the role of each performance factor is clearly defined. However, in some real-world problems, certain factors might be identified as dual-role factors depending on the evaluation nature or the decision-makers' perspective. These factors can play the role of both input and output, or even be considered neutral in assessing the units' performance. In the current paper, to determine the status of dual-role factors and calculate the efficiency of DMUs, two new linear programming models, based on the concept of deviation in the efficiency constraint and a common set of weights, are suggested. The main advantages of the proposed models are significantly reducing the computations and iterations required to solve the model, and involving all DMUs to determine the role of factors. To assess the performance of the proposed models, a data set for the evaluation of eighteen suppliers in the presence of two inputs, three outputs, and two dual-role factors has been employed. The obtained results showed that, compared to other models, the proposed models are computationally more efficient, and the role determination and evaluation of the units, based on the obtained weights from these models, are better aligned with the expectations of decision-makers

کلیدواژه‌ها [English]

  • Data Envelopment Analysis
  • Dual-role Factors
  • Efficiency
  • Decision Making Unit
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