Two-stage network DEA with convex hull in intermediate products

Authors : Samira MALEKİ, Ali EBRAHİMNEJAD, Reza Kazemi MATİN

Pages : 312-331

View : 20 | Download : 7

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :In recent Data envelopment analysis insert ignore into journalissuearticles values(DEA); literature, many researchers have examined systems with a two-stage network structure and its pitfalls. In these studies, two-stage network systems operations for converting inputs into outputs have been performed in two stages, meanwhile the intermediate products were considered as the outputs from the first stage and as inputs to the second stage. This duality in dealing with intermediate products imposes restrictions on the pricing of these products. In this paper by focusing on the convexity axiom, we define a new production possibility set. The main contributions of this paper are fourfold: insert ignore into journalissuearticles values(1); we propose models for evaluating the overall efficiency measure of decision making units insert ignore into journalissuearticles values(DMUs); in a two-stage network structure based on the convex hull in intermediate products; insert ignore into journalissuearticles values(2); we propose a procedure to determine the target unit of each inefficient DMU; insert ignore into journalissuearticles values(3); we explain how to calculate the divisional efficiency; insert ignore into journalissuearticles values(4); we demonstrate the feasibility and richness of the obtained solutions in the context of two examples.
Keywords : Data envelopment analysis DEA, , Two stage network, Intermediate products, Convex hull, Overall efficiency, Projection