Open AccessSuper-Efficiency Infeasibility in the Presence of Nonradial Measurement
Author(s) -
Dong Guo,
Zheng-Qun Cai
Publication year - 2020
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2020/6264852
Subject(s) - benchmark (surveying) , set (abstract data type) , production–possibility frontier , computer science , mathematical optimization , production (economics) , mathematics , economics , geodesy , macroeconomics , programming language , geography
The original radial VRS super-efficiency model in DEA excludes the DMU under evaluation from the reference set. However, it must lead to the problem of infeasibility specifically when the DMU under consideration is at the extremity of the frontier. In this paper, a modified nonradial VRS super-efficiency model is established. The super-efficiency model in the presence of nonradial measurement still maintains some good properties, and the original radial VRS super-efficiency model infeasibility can also be detected through it. Our model with nonradial measurement can help decision makers allocate input resources and arrange production activities because it finds an efficient benchmark DMU, which is different from the reference DMU under radial measurement.