کارایی هزینه در فرایند سه مرحله ای شبکه DEA-R
محورهای موضوعی : آمار
پریسا کامیاب
1
,
محمدرضا مظفری
2
1 - گروه ریاضی، واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران
2 - گروه ریاضی، واحد شیراز، دانشگاه آزاد اسلامی، شیراز، ایران
کلید واژه: network DEA-R, Data Envelopment Analysis, cost efficiency,
چکیده مقاله :
در بسیاری از سازمانها و موسسات مالی همواره داده های ورودی و خروجی در دسترس نمی باشند، بلکه فقط نسبتی از ورودیها به خروجی ها( یا بالعکس) در دسترس می باشد. در تحلیل پوششی داده ها کارایی هزینه باتوجه به بردار هزینه ورودیاا استاندارد ورودیها را مشخص می کند. در فرایند چندمرحله ای شبکه تحلیل پوششی داده ها نیز بحث کارایی هزینه علاوه بر استاندارد ورودی، استاندارد بردارهای میانی را بااستقاده از مدلهای برنامه ریزی خطی مشخص می کند. در این مقاله براساس مجموعه امکان تولید در فرایندهای سه مرحله ای شبکه DEA-R ابتدا مقیاس کارایی در هر مرحله و کارایی کلی محاسبه میشود. سپس فرایند سه مرحله ای شبکه DEA-Rکه تلفیقی از تحلیل پوششی داده ها و داده های نسبتی است پیشنهاد میشود. بااستفاده از بحث کارایی هزینه استاندارد وروریها و پیوندهای میانی در هرمرحله مشخص میشود. در خاتمه، کارایی کلی و کارایی هزینه برای ۳۰ مرکز اموزشی و تحقیقاتی در ایران مربوط به شش ماهه اول ۲۰۱۵ بر اساس فرایند سه مرحله ای شبکه DEA-R بررسی میشود.
In many organizations and financial institutions, we don't always have acsses to inputs and outputs to evaluate the decision-making units (DMUs), but rather only a ratio of inputs to outputs ( or reverse) might be available. In DEA, cost efficiency determines input standards based on input costs. In multi-stage network DEA processes, in addition to input standards, cost efficiency would determine the standards for intermediate vectors as well as using linear programming models. In this paper, we calculated efficiency values for each stage, as well as overall efficiency based on a proxuction possibility set (PPS) in three stage network DEA-R processes. Then, we suggest three stage network DEA-R (ratio-based DEA midel) processes which are a combination of data envelopment analysis (DEA) and ratio data then we will propose cost efficiency models in each three stage network DEA-R process. Afterthan, we will determine the standards for outputs and intermediate measures in each stage using the subject of cost efficiency . In the end, overall efficiency and cost efficiency will be evaluated among of 30 Iranian educational research centers during the first half- year of 2015 based on a three stage network DEA-R process.
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