منحصربه‌فرد بودن اوزان در کارآیی متقاطع با استفاده از مسئله آشفتگی (نمونه موردی: صنایع گاز ایران)

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار، گروه ریاضی، دانشگاه آزاد اسلامی، واحد صومعه سرا، گیلان، ایران

2 استادیار، گروه ریاضی، دانشگاه آزاد اسلامی، واحد ارس، جلفا، ایران.

چکیده

امروزه تحلیل پوششی داده ها به صورت گسترده ای و به عنوان ابزار غیر پارامتریک کاربردهای فراوانی در ارزیابی و تخمین عملکرد در زمینه های متفاوت دارد. ارزیابی مبتنی بر مدل های مضربی گاهی منجر به چندگانی اوزان در بهینگی می شود. از سویی وجود وزن صفر در ارزیابی ها یکی از معایب این تکنیک کارآمد محسوب می شود.در جهت رفع این مشکل، در این مقاله ، روشی مبتنی بر آشوب پیشنهاد شده است که نه تنها مشکل چندگانی اوزان در بهینگی را مرتفع می کند بلکه مشکل عدم تجانس اوزان را نیز مرتفع می سازد. با بکارگیری اوزان منحصر به فرد در ارزیابی واحدها در کارایی متقاطع، رتبه منحصر بفردی نیز برای واحدها ایجاد می گردد. برای تاکید بر قوت روش پیشنهادی مدل معرفی شده بر روی مثال واقعی از صنایع گاز کشور ایران پیاده سازی می شود و با نتیج حاصل از مدل های استاندارد مقایسه می گردد. نتایج حاکی از عملکرد بهتر مدل پیشنهادی است.

کلیدواژه‌ها

عنوان مقاله [English]

Perturbation and uniqueness of optimal weights in cross efficiency evaluation: An application to Iranian Gas Companies

نویسندگان [English]

  • Azam Pourhabibyekta 1
  • Mahnaz Maghbouli 2
1 Assistant Professor, Department of Mathematics, Islamic Azad University, Soomehsara Branch, Gilan, Iran
2 Assistant Professor, Department of Mathematics, Islamic Azad University, Aras Branch, Julfa, Iran.
چکیده [English]

Data envelopment analysis(DEA) has been extended to cross-efficiency evaluation to better discrimination and ranking of decision making units(DMUs). Unfortunately, the optimal weights generated may not be unique which has reduced the usefulness of this powerful method. In addition, due to alternative optimal solutions, zero weights can be seen in cross-efficiency evaluation. To solve these problems, first the concept of perturbation and generation of unique solution is introduced. Then an alternative evaluation approach contains a perturbed model, is proposed based on the performance analysis without slacks. This modified model can generate unique and non-zero optimal weights, simulteneously. Furthermore, the structure of the model can ensure the dissimilarity of the generated optimal weights. All these factors make the cross-efficiency evaluation results more satisfied and acceptable by all the DMUs. Finally, the proposed approach is applied on a real case study of of Iranian Gas Company and the results show that in contrast to standard DEA model the propsed model can perform well.

کلیدواژه‌ها [English]

  • Cross–efficiency
  • Data Envelopment Analysis (DEA)
  • Perturbation
  • unique weight
  • dissimilarity

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پژوهش های نوین در تصمیم گیری
دوره 6، شماره 4
دی 1400
صفحه 263-283

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