TY - JOUR
T1 - The measurement of relative efficiency using data envelopment analysis with assurance regions that link inputs and outputs
AU - Khalili, M.
AU - Camanho, A. S.
AU - Portela, M. C.A.S.
AU - Alirezaee, M. R.
PY - 2010/6/16
Y1 - 2010/6/16
N2 - The most popular weight restrictions are assurance regions (ARs), which impose ratios between weights to be within certain ranges. ARs can be categorized into two types: ARs type I (ARI) and ARs type II (ARII). ARI specify bounds on ratios between input weights or between output weights, whilst ARII specify bounds on ratios that link input to output weights. DEA models with ARI successfully maximize relative efficiency, but in the presence of ARII the DEA models may under-estimate relative efficiency or may become infeasible. In this paper we discuss the problems that can occur in the presence of ARII and propose a new nonlinear model that overcomes the limitations discussed. Also, the dual model is described, which enables the assessment of relative efficiency when trade-offs between inputs and outputs are specified. The application of the model developed is illustrated in the efficiency assessment of Portuguese secondary schools.
AB - The most popular weight restrictions are assurance regions (ARs), which impose ratios between weights to be within certain ranges. ARs can be categorized into two types: ARs type I (ARI) and ARs type II (ARII). ARI specify bounds on ratios between input weights or between output weights, whilst ARII specify bounds on ratios that link input to output weights. DEA models with ARI successfully maximize relative efficiency, but in the presence of ARII the DEA models may under-estimate relative efficiency or may become infeasible. In this paper we discuss the problems that can occur in the presence of ARII and propose a new nonlinear model that overcomes the limitations discussed. Also, the dual model is described, which enables the assessment of relative efficiency when trade-offs between inputs and outputs are specified. The application of the model developed is illustrated in the efficiency assessment of Portuguese secondary schools.
KW - Assurance regions type II
KW - Data envelopment analysis
KW - Weight restrictions
UR - http://www.scopus.com/inward/record.url?scp=70449563016&partnerID=8YFLogxK
U2 - 10.1016/j.ejor.2009.09.002
DO - 10.1016/j.ejor.2009.09.002
M3 - Article
AN - SCOPUS:70449563016
SN - 0377-2217
VL - 203
SP - 761
EP - 770
JO - European Journal of Operational Research
JF - European Journal of Operational Research
IS - 3
ER -