Data Envelopment Analysis and Malmquist Index for Measuring Productivity of Inefficient DMUs
محورهای موضوعی : مجله بین المللی ریاضیات صنعتیM. Shahkooeei‎ 1 , Farzad Rezai Balf 2 , M. Rabbani 3 , M. Fallah ‎Jelodar‎ 4
1 - Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
2 - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
3 - Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
4 - Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran
کلید واژه: Decision-making, Malmquist Productivity Index, Data Envelopment Analysis, Efficiency, Productivity,
چکیده مقاله :
Data envelopment analysis (DEA), is a non-parametric mathematical programming technique to evaluate the efficiency of a set of homogeneous decision-making units (DMUs), so that DMUs are evaluated into two groups, efficient and inefficient. According to the staggering costs in order to managing DMUs or organizations, maintaining some loss-making organizations are not cost-effective. Therefore, one of the concerns of managers in the discussion related to the financial problems of organizations is the maintenance or merger or elimination of inefficient organizations (inefficient DMUs). However, this article focuses on the performance of inefficient units. Therefore, we measure the productivity of inefficient DMUs using the revised Malmquist productivity index (MPI) to make a decision based on the maintenance or merger or elimination of these DMUs by decision makers (DMs).
تحلیل پوششی داده ها، یک تکنیک برنامه ریزی ریاضی ناپارامتریک برای ارزیابی کارایی مجموعه ای از واحدهای تصمیم گیری همگن است، به طوری که واحدهای تصمیم گیرنده را به دو گروه کارا و ناکارا ارزیابی می شوند. با توجه به هزینه های سرسام آور برای مدیریت DMU ها یا سازمان ها، نگهداری برخی از سازمان های زیان ده مقرون به صرفه نیست. بنابراین یکی از دغدغه های مدیران در بحث مربوط به مشکلات مالی سازمان ها، حفظ یا ادغام یا حذف سازمان های ناکارا (DMU های ناکارا) است. بنابراین، در این مقاله ما بهره وری واحدهای تصمیم گیرنده ناکارا را با استفاده از شاخص بهره‌وری مالم کوئیست اصلاح شده اندازه گیری می‌کنیم تا بر اساس آن تصمیم حفظ یا ادغام یا حذف واحدهای تصمیم گیرنده ناکارا توسط تصمیم گیرندگان گرفته شود.
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