ارزیابی کارایی مدل جمعی کراندار در سیستم های تولید دومرحله ای با داده های منفی

Subject Areas : Data Envelopment Analysis

حمیدرضا بابائی اصیل ¹ ( Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran )
رضا کاظمی متین ² ( Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran )
محسن خون سیاوش ³ ( Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran )
زهره مقدس ⁴ ( Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran )

Received: 2022-03-13 Accepted : 2022-04-15 Published : 2022-03-01

Keywords: تحلیل پوششی داده ها ٬ داده های منفی ٬ سیستم ها ی دومرحله ای ٬ کارایی ٬ مدل های جمعی,

Abstract :

تحلیل پوششی داده ها (DEA) روشی برای اندازگیری کارایی واحدهای تصمیم گیری (DMU) ها است. در مدل‌های تحلیل پوششی داده های سنتی به اختلافات احتمالی بین دو مرحله ناشی از اقدامات میانی اشاره نمی کنند. به همین جهتاین مدل ها برای بررسی کارایی فرآیندهای دو مرحله ای که همه خروجی های مرحله اول اقدامات میانی هستند که ورودی های مرحله دوم را تشکیل می دهند، گسترش یافته است. در دنیای واقعی داده های مربوط به سیستم های تولید دومرحله ای میتوانند مقادیر منفی نیز داشته باشند. با توجه به اهمیت ارزیابی واحدهای تصمیم گیرنده ی دو مرحله ای، در این مقاله ارزیابی این سیستم های تولید با فرض وجود داده های منفی مورد توجه قرار گرفته اند. همچنین در این مقاله رویکرد جدیدی از ارزیابی کارایی توسط مدل جمعی کراندار دومرحله ای با استفاده از داده های منفی ارائه شده است. درادامه با استفاده از مثال عددی وکاربردی به ارزیابی کارایی و رتبه بندی 36 شرکت هواپیمایی پرداخته می شود.

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