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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 989581, 8 pages
Research Article

Hybrid Dynamic Network Data Envelopment Analysis

1National Key Laboratory of Environmental Electromagnetic Effects and Electro-Optic Engineering, College of Field Engineering, PLA University of Science and Technology, Nanjing 210007, China
2College of Field Engineering, PLA University of Science and Technology, Nanjing 210007, China

Received 16 December 2014; Accepted 9 April 2015

Academic Editor: Aura Reggiani

Copyright © 2015 Ling Li and Fengshan Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Conventional DEA models make no hypothesis concerning the internal operations in a static situation. To open the “black box” and work with dynamic assessment issues synchronously, we put forward a hybrid model for evaluating the relative efficiencies of a set of DMUs over an observed time period with a composite of network DEA and dynamic DEA. We vertically deal with intermediate products between divisions with assignable inputs in the network structure and, horizontally, we extend network structure by means of a dynamic pattern with unrelated activities between two succeeding periods. The hybrid dynamic network DEA model proposed in this paper enables us to (i) pry into the internal operations of DEA by another network structure, (ii) obtain dynamic change of period efficiency, and (iii) gain the overall dynamic efficiency of DMUs over the entire observed periods. We finally illustrate the calculation procedure of the proposed approach by a numerical example.