یافتن بهترین عملکرد در روش‌های تحلیل کارایی غیرپارامتری
محورهای موضوعی : تحقیق در عملیاتمحسن میرزائی چلکی 1 , عاطفه معصوم زاده 2
1 - گروه ریاضی کاربردی، واحد آستانه اشرفیه، دانشگاه آزاد اسلامی، آستانه اشرفیه، ایران
2 - گروه ریاضی، واحد لاهیجان، دانشگاه آزاد اسلامی، لاهیجان، ایران
کلید واژه: تحلیل پوششی داده‌ها, کارایی, ورودی/خروجی, رتبه‌بندی, بهین-کارا,
چکیده مقاله :
در مدل‌های کلاسیک تحلیل پوششی داده‌ها DEA) ( بهترین عملکردها در حالت کارایی قوی رخ می‌دهد که با عدد یک نمایش داده می شود و از روی تجربه می‌دانیم که معمولا بیش از یک واحد دارای وضعیت کارا خواهد بود. یکی از مطالعات اخیر که بسیار مورد توجه بوده است تمایز بین عملکرد واحدهای تصمیم‌گیرنده DMU)های ( کارا می‌باشد. مساله یافتن DMU بهین-کارا (با بهترین عملکرد) از دیدگاه‌های مختلفی مطالعه شده‌اند. با این وجود، بررسی نشان داده است که هیچ تعریف صریحی از DMU بهین-کارا (بهترین عملکرد) وجود ندارد و در تحقیقات مختلف، واحدهای متفاوتی را به عنوان واحد با بهترین کارایی معرفی نموده‌اند. در این مقاله یک تعریف جدید برای DMU بهین-کارا (با بهترین عملکرد) ارایه می‌شود. برای این منظور، یک مقیاس مقایسه‌ای برای هر DMU تعریف کرده، که با استفاده از این مقیاس یک روش اولویت‌بندی برای DMUها حاصل می شود. با مثال‌های عددی کاربرد تحقیق انجام‌شده محرز می‌گردد.
In classic data envelopment analysis (DEA) models, the best performance is the fully efficient state, which is represented by the number one, and we know from experience that more than one unit will have this efficient state. One of the most recent studies and an interesting topic of research is the distinction between the performance of fully efficient decision-making units (DMUs). Several authors studied the problem of finding an optimally efficient DMU from different perspectives. However, as far as we are aware, there is no clear description or definition of an optimal DMU. As a result, in various studies, different units are introduced as the unit with the highest efficiency. In this paper, we present a new definition for an optimally efficient DMU. For this purpose, a comparison scale was defined for each DMU, and by using this scale, a ranking method for DMUs was obtained. The application of the conducted research was verified by numerical examples.
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