Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/10679
Title: Characteristics and structures of weak efficient surfaces of production possibility sets
Authors: Wei, Q
Yan, H 
Hao, G
Keywords: DEA
Production possibility set
Weak surface
Issue Date: 2007
Publisher: Academic Press Inc Elsevier Science
Source: Journal of mathematical analysis and applications, 2007, v. 327, no. 2, p. 1055-1074 How to cite?
Journal: Journal of Mathematical Analysis and Applications 
Abstract: This paper studies the characteristics and structure of the weak surface of the production possibility set. We apply techniques and methods of transferring a polyhedral cone from its intersection form to its sum form, identify an intersection representation of the production possibility set. We give the structure theorem of weak surface of the production possibility set, which includes three complementary slackness conditions. We define the input weak efficiency and output weak efficiency for different DEA models according to the representation of the intersection form. It investigates the characteristics of the weak surfaces, and proves the structure theorems of input weak DEA efficiency and output weak DEA efficiency. The structure theorems establish weighted combination of inputs and outputs that are weak DEA efficient. Numerical examples are provided for illustration.
URI: http://hdl.handle.net/10397/10679
DOI: 10.1016/j.jmaa.2006.04.072
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