RT journal article
T1 Using slacks-based model to solve inverse DEA with integer intervals for input estimation
A1 Younesi, Atefeh
A1 Lotfi, Farhad Hosseinzadeh
A1 Arana Jiménez, Manuel
A2 Estadística e Investigación Operativa
K1 Data envelopment analysis (DEA)
K1 Inverse DEA
K1 Integer interval
K1 Multiple-objective nonlinear programming (MONLP)
K1 Slacks-based model
AB This paper deals with an inverse data envelopment analysis (DEA) based on the non-radial slacks-based model in the presence of uncertainty employing both integer and continuous interval data. To this matter, suitable technology and formulation for the DEA are proposed using arithmetic and partial orders for interval numbers. The inverse DEA is discussed from the following question: if the output of DMUo increases from Y-o to /beta(o), such the new DMU is given by (alpha(o)& lowast;, /3) belongs to the technology, and its inefficiency score is not less than t-percent, how much should the inputs of the DMU increase? A new model of inverse DEA is offered to respond to the previous question, whose interval Pareto solutions are characterized using the Pareto solution of a related multiple-objective nonlinear programming (MONLP). Necessary and sufficient conditions for input estimation are proposed when output is increased. A functional example is presented on data to illustrate the new model and methodology, with continuous and integer interval variables.
PB SPRINGER
SN 1573-2908
YR 2023
FD 2023-01
LK http://hdl.handle.net/10498/27901
UL http://hdl.handle.net/10498/27901
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026