کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1708933 | 1012836 | 2012 | 5 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Generating strong defining hyperplanes of the production possibility set in data envelopment analysis Generating strong defining hyperplanes of the production possibility set in data envelopment analysis](/preview/png/1708933.png)
In data envelopment analysis (DEA), identification of the strong defining hyperplanes of the empirical production possibility set (PPS) is important, because they can be used for determining rates of change of outputs with change in inputs. Also, efficient hyperplanes determine the nature of returns to scale. The present work proposes a method for generating all linearly independent strong defining hyperplanes (LISDHs) of the PPS passing through a specific decision making unit (DMU). To this end, corresponding to each efficient unit, a perturbed inefficient unit will be defined and, using at most m+sm+s linear programs, all LISDHs passing through the DMU will be determined, where mm and ss are the numbers of inputs and outputs, respectively.
Journal: Applied Mathematics Letters - Volume 25, Issue 3, March 2012, Pages 605–609