Efficiency Evaluation in Presence of Undesirable and Negative Factors
محورهای موضوعی : Operation Researchمهناز مقبولی 1 , مهدی عینی 2 , فرهاد طاهر 3
1 - دانشگاه آزاد اسلامی، واحد ارس، جلفا، ایران
2 - دانشگاه پیام نور، دانشکده علوم پایه، گروه ریاضی، تهران، ایران،
3 - دانشگاه آزاد اسلامی، واحد تبریز، گروه ریاضی کاربردی
کلید واژه: Negative data, Efficiency, Undesirable outputs, Data Envelopment Analysis(DEA),
چکیده مقاله :
Data envelopment analysis (DEA) has been proven as an excellent data-oriented efficiency analysis method for comparing decision making units (DMUs) with multiple inputs and multiple outputs. In conventional DEA models, it is assumed that the input or output variables are all non-negative and desirable. However, in some situations, a performance measure can take positive quantity for some DMUs and negative value for others. Also, undesirable (bad) inputs and outputs may be presented in the production process. Hence, the standard model cannot directly reflect the efficiency score. The paper proposes a modified model in which both undesirable and negative data are treated to improve the relative efficiency of the DMU under evaluation. The focus of this paper is on treating the negative data on the definition of the two non-negative variable and the decreasing of undesirable outputs. A real example of 20 bank branches shows applicability of the proposed approach
تحلیل پوششی داده ها (DEA) یک تکنیک برای ارزیابی واحدهای تصمیم گیری(DMUs) با چندین ورودی و خروجی است. اما یکی از نقص‌های مدل‌های کلاسیک DEAاین است که در همه‌ی آن‌ها فرض نامنفی و مطلوب بودن برای فاکتورها در نظر گرفته می شود، در حالی که در مسائل واقعی ورودی‌ها و خروجی‌های منفی و نامطلوب نیز وجود دارد. لذا مدل‌های استاندارد DEA، اندازه ی کارایی DMUs را به درستی منعکس نمی کنند. در این مقاله با ارائه مدلی کارایی واحدها در حضور فاکتورهای منفی و نامطلوب مورد ارزیابی قرار می گیرد که با یک مثال کاربردی روش پیشنهادی مورد بحث و بررسی قرار می‌گیرد.
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