Jh. Dula, EQUIVALENCES BETWEEN DATA ENVELOPMENT ANALYSIS AND THE THEORY OF REDUNDANCY IN LINEAR-SYSTEMS, European journal of operational research, 101(1), 1997, pp. 51-64
Citations number
11
Categorie Soggetti
Management,"Operatione Research & Management Science","Operatione Research & Management Science
This paper establishes how the non-parametric frontier estimation meth
odology of Data Envelopment Analysis (DEA) and the classical problem o
f detecting redundancy in a system of linear inequalities are connecte
d. We present an analysis of the sets generated in two of DEA's models
from where the empirical efficient production frontier is established
from the point of view of polyhedral set theory. This yields convenie
nt alternative characterizations of these sets which provide new insig
hts about their properties. We use these insights to show how these po
lyhedral sets connect DEA to redundancy in linear systems. This means
that DEA can benefit from a rich and well-established collection of co
mputational and theoretical results which apply directly from redundan
cy in linear systems. (C) 1997 Published by Elsevier Science B.V.