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Iranian Journal of Management Studies
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Autumn 2017, Page 751-959
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Amirteimoori, A., Kordrostami, S., Nasrollahian, P. (2017). A Method for Solving Super-Efficiency Infeasibility by Adding virtual DMUs with Mean Values. Iranian Journal of Management Studies, 10(4), 905-916. doi: 10.22059/ijms.2017.235592.672706
Alireza Amirteimoori; Sohrab Kordrostami; Pooya Nasrollahian. "A Method for Solving Super-Efficiency Infeasibility by Adding virtual DMUs with Mean Values". Iranian Journal of Management Studies, 10, 4, 2017, 905-916. doi: 10.22059/ijms.2017.235592.672706
Amirteimoori, A., Kordrostami, S., Nasrollahian, P. (2017). 'A Method for Solving Super-Efficiency Infeasibility by Adding virtual DMUs with Mean Values', Iranian Journal of Management Studies, 10(4), pp. 905-916. doi: 10.22059/ijms.2017.235592.672706
Amirteimoori, A., Kordrostami, S., Nasrollahian, P. A Method for Solving Super-Efficiency Infeasibility by Adding virtual DMUs with Mean Values. Iranian Journal of Management Studies, 2017; 10(4): 905-916. doi: 10.22059/ijms.2017.235592.672706

A Method for Solving Super-Efficiency Infeasibility by Adding virtual DMUs with Mean Values

Article 6, Volume 10, Issue 4, Autumn 2017, Page 905-916  XML PDF (275 K)
Document Type: Research Paper
DOI: 10.22059/ijms.2017.235592.672706
Authors
Alireza Amirteimoori1; Sohrab Kordrostami2; Pooya Nasrollahian 1
1Department of Applied Mathematics, Islamic Azad University, Rasht Branch, Rasht, Iran
2Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan, Iran
Abstract
Using super-efficiency, with regard to ranking efficient units, is increasing in DEA. However, this model has some problems such as the infeasibility. Thus, this article studies infeasibility of the input-based super-efficiency model (because of the zero inputs and outputs), and presents a solution by adding two virtual DMUs with mean values (one for inputs and one for outputs). Adding virtual DMUs to Production Possibility Set (PPS) changed the basic super-efficiency model, so a new model is proposed for solving this problem. Finally, the newly developed model is illustrated with a real-world data set.
Keywords
DEA; super-efficiency; infeasibility; mean values
Main Subjects
Optimization, Stochastic Models and Simulation
Article Title [Persian]
روشی برای حل مشکل نشدنی بودن ابرکارایی به کمک داده های مجازی با مقادیر میانگین
Authors [Persian]
علیرضا امیرتیموری1; سهراب کردرستمی2; پویا نصراللهیان1
1دانشکده علوم پایه ، دانشگاه آزاد اسلامی واحد رشت ، رشت، ایران
2دانشکده علوم پایه ، دانشگاه آزاد اسلامی واحد لاهیجان، لاهیجان، ایران
Abstract [Persian]
استفاده از ابرکارایی در تحلیل پوششی داده­ها برای رتبه­بندی واحدهای کارا روز به روز در حال افزایش است. با این حال، این مدل دارای مشکلاتی همچون نشدنی بودن می­باشد. بنابراین در این مقاله به بیان این مشکل در مدل ورودی محور پرداخته شده( به خاطر وجود ورودی و خروجی صفر) و راه­حلی با اضافه کردن واحدهای مجازی با مقدار میانگین پیشنهاد شده­است. اضافه کردن واحد مجازی به مجموعه امکان تولید سبب تغییر در مدل  ابرکارایی پایه می­شود، بنابراین، مدل­های جدید برای حل این مشکل ارائه شده­است. در انتها،  یک مثال با داده­های واقعی برای روشن شدن مطلب بیان شده­است.
Keywords [Persian]
تحلیل پوششی داده‌ها، ابرکارایی، نشدنی بودن، مقدار میانگین
References
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