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Paper Information

Journal:   IRANIAN JOURNAL OF OPERATIONS RESEARCH   SPRING 2010 , Volume 2 , Number 1; Page(s) 50 To 61.
 
Paper: 

CHARACTERIZATION OF EFFICIENT POINTS OF THE PRODUCTION POSSIBILITY SET UNDER VARIABLE RETURNS TO SCALE IN DEA

 
 
Author(s):  HOSSEINZADEH LOTFI FARHAD*, NOURA ABAS ALI, JAHANSHAHLOU GHOLAM REZA, GERAMI J., MOZAFARI M.R.
 
* DEPARTMENT OF MATHEMATICS, SCIENCE AND RESEARCH BRANCH, ISLAMIC AZAD UNIVERSITY, TEHRAN, IRAN
 
Abstract: 

We suggest a method for finding the non-dominated points of the production possibility set (PPS) with variable returns to scale (VRS) technology in data envelopment analysis (DEA). We present a multiobjective linear programming (MOLP) problem whose feasible region is the same as the PPS under variable returns to scale for generating non-dominated points. We demonstrate that Pareto solutions of the MOLP produce efficient units in DEA, and vice versa. We solve the MOLP problem by using a finite number of weights which are extreme rays of the cone generated by the efficient solutions. We obtain new efficient points by changing weights, and thus the efficient solutions set are produced.

 
Keyword(s): DATA ENVELOPMENT ANALYSIS, MULTI-OBJECTIVE LINEAR PROGRAMMING, PRODUCTION POSSIBILITY SET, VARIABLE RETURNS TO SCALE
 
References: 
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