توسعه یک مدل تحلیل پوششی داده‌های شبکه‌ای مضربی جهت بررسی ساختار درونی واحد‌های تصمیم‌گیرنده

نوع مقاله: مقاله پژوهشی

نویسنده

گروه مدیریت، دانشکده علوم اداری و اقتصاد، دانشگاه ولی عصر(عج) رفسنجان

چکیده

تحلیل پوششی داده‌ها به دلیل عدم نیاز به تابع تولید، از زمان ارائه موردتوجه محققین جهت ارزیابی عملکرد بوده است. اما مدل‌های اولیه تحلیل پوششی داده‌ها جهت بررسی ساختار درونی واحدها ناتوان هستند و دیدگاه جعبه سیاه دارند. از جمله متداول‌ترین ساختارهای شبکه‌ای، دومرحله‌ای متوالی است. مدل‌های موجود جهت ارزیابی این ساختار عمدتا دارای رویکرد تجزیه می‌باشند، به عبارت دیگر اولویت آن‌ها کارایی کل است و از تجزیه کارایی کل، کارایی مراحل بدست می‌آید. در این مقاله تلاش شده است تا یک مدل چندهدفه مضربی که همزمان کارایی کل و کارایی مراحل را مدنظر قرار می‌دهد توسعه داده شود. همچنین برای حالت جواب چندگانه، مدل‌هایی جهت محاسبه کارایی‌ها ارائه و اثبات شد که در تمامی مدل‌ها نمرات کارایی بین صفر تا یک می‌شود و تنها در صورتی یک واحد کارای شبکه‌ای می‌شود که در هر دومرحله کارا باشد. مدل‌های توسعه‌داده شده به ساختار دومرحله‌ای با ورودی و خروجی مازاد نیز تعمیم داده شد. از مدل ارائه شده در یک مثال کاربردی استفاده شد و نتایج نشان داد که مدل موجود نسبت به مدل‌های سنتی ارزیابی واقع‌بینانه‌تری انجام می‌دهد.

کلیدواژه‌ها


عنوان مقاله [English]

Development of a Network Data Envelopment Analysis (NDEA) model for investigation of the internal structure of decision-making units

نویسنده [English]

  • Reza Soleymani-Damaneh
d
چکیده [English]

Data envelopment analysis has been in the center of attention due to independency of the production function. But the initial models of data envelopment analysis are incapable of examining the internal structure of the units and have a black-box view. One of the most common network structures is consecutive two-staged structure. Available models for evaluating this structure are mainly based on the decomposition approach, in other words, their priority is overall efficiency, and the efficiency of the stages is obtained by decomposing the total efficiency. In this paper, an attempt is made to develop a multivariate model that simultaneously considers the overall efficiency and efficiency of the stages. In addition, for multi-response mode, the models were developed to calculate the efficiencies and it was proved that in all models, efficiency scores range from zero to one, and a unit is efficient if only it is efficient in both stages. The presented models were used in an applied example and the results showed that the existing model performed more realistic evaluation than traditional models.

کلیدواژه‌ها [English]

  • Network Structures
  • Multiplier Models
  • Network DEA
  • DMUs
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