آنالیز کارایی هزینه و درآمد غیرمحدب در شبکه دو مرحله ای و کاربرد آن برای فرودگاههای ایران

Subject Areas : International Journal of Industrial Mathematics

جواد گرامی ¹ , محمد رضا مظفری ² , پریسا کامیاب ³

1 - گروه ریاضی، واحد شیراز، دانشگاه آزاد اسلامی، شیراز، ایران.
2 - گروه ریاضی، واحد شیراز، دانشگاه آزاد اسلامی، شیراز، ایران.
3 - گروه ریاضی، واحد علوم و تحقیقات گیلان، دانشگاه آزاد اسلامی، رشت، ایران.

Received: 2020-06-05 Accepted : 2020-09-30 Published : 2021-10-01

Keywords: کارایی هزینه و درآمد, تحلیل پوششی داده ها, خطوط هوایی, FDH, شبکه دو مرحله ای,

Abstract :

در دنیای حقیقی ممکن است تصمیم گیرنده بخواهد کارایی هزینه و درآمد را برای واحدهای تصمیم گیرنده موجود در مقابل برای واحدهای تصمیم گیرنده مجازی انجام دهد در اینصورت دیگر نمی توان از مدلهای سنتی تحلیل پوششی داده ها استفاده نمود و باید از مدلهای FDH به منظور ارزیابی کارایی واحدهای تصمیم گیرنده استفاده نماییم. در این مقاله مدلهای ارزیابی کارایی درآمد و هزینه را بر اساس مدلهای FDH و مقایسات زوجی توسعه می دهیم. در ادامه مدلهای ارائه شده را برای شبکه دو مرحله ای توسعه میدهیم و مقادیر مطلوب ورودیها و خروجیها را با توجه به قیمت آنها بدست می آوریم. یک الگوریتم برای اندازه گیری کارایی هزینه و درآمد بر اساس نسبت ورودیها و خروجیها ارائه شده است. سرانجام الگوریتم ارائه شده را برای ارزیابی کارایی 13 فرودگاه با ساختار شبکه دو مرحله ای در ایران بدون در نظر گرفتن قید تحدب بکار می بریم. در انتها نتایج حاصل از تحقیق را ارائه میدهیم.

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