Title
Evaluating The Efficiency Of A Two-Stage Network Structure With The Use Of Fractional Programming
Abstract
Recently, network data envelopment analysis (NDEA) models have been developed to evaluate the efficiency of decision making units (DMUs) with internal structures. The network structures range from a simple two-stage process to a complex system. Looking through the literature on two- stage network structures, we see that Li et al. (2012) extended a model by assuming that the inputs to the second stage include both the outputs from the first stage and additional inputs to the second stage. In the current study, a model is proposed to evaluate the performance of these types of general two-stage network structures. To this end, we provide a linear model using fractional programming. In fact, previous models were often nonlinear models which were solved with heuristic methods. But, since the model presented in this paper is a linear model, then it can be solved easily as a linear programming problem. In order to clarify the newly proposed approach of this study, it has been applied to a case of regional Research and Development (R& D) system related to 30 provincial level regions in China and results have been compared with the heuristic method of Li et al. (2012).
Year
DOI
Venue
2017
10.1142/S1793830917500343
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS
Keywords
Field
DocType
DEA network, two-stage structures, heuristic method, fractional programming, efficiency decomposition
Heuristic,Mathematical optimization,Nonlinear system,Linear model,Linear programming,Network data,Fractional programming,Mathematics,Network structure
Journal
Volume
Issue
ISSN
9
3
1793-8309
Citations 
PageRank 
References 
0
0.34
8
Authors
3
Name
Order
Citations
PageRank
Reza Ahmadzadeh111.71
Sohrab Kordrostami27613.38
Alireza Amirteimoori318223.77