Cross-inefficiency with the Variable Returns to Scale in DEA
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
B. Asadi
1
(
Department of Mathematics, University of Mazandaran, Babolsar, Iran
)
H. Nasseri
2
(
Department of Mathematics, University of Mazandaran, Babolsar, Iran
)
Farhad Hosseinzade Lotfi
3
(
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
)
کلید واژه: Negative cross-efficiency, Data Envelopment Analysis, VRS production possibility set, Cross-inefficiency, Variable returns to scale,
چکیده مقاله :
The cross-efficiency ranking method is a well-known method in DEA which is frequently used under the constant returns to scale assumption; while various applications exist based on the variable returns to scale (VRS). This is due to the presence of negative input-oriented VRS cross-efficiencies. In this paper, each cross-efficiency is replaced by an equivalent distance measure as inefficiency measure. Then, the cross-inefficiency method is developed under the VRS assumption.
روش رتبه‌بندی کارایی متقاطع یکی از روش‌های شناخته شده در تحلیل پوششی داده‌هاست که اغلب تحت فرض بازده به مقیاس ثابت به کار گرفته می‌شود. این در حالی است که کاربردهای فراوانی تحت فرض بازده به مقیاس متغیر موجود هستند. دلیل اصلی این امر، حضور مقادیر کارایی متقاطع منفی در فرض بازده به مقیاس متغیر با ماهیت ورودی است. در این مقاله، هر کارایی متقاطع با یک معیار فاصله‌ی معادل به عنوان شاخصی از ناکارایی جایگزین می‌شود. سپس، بر اساس معیار فاصله مذکور، روش ناکارایی متقاطع تحت فرض بازده به مقیاس متغیر توسعه داده می‌شود.
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