Efficiency decomposition in network data envelopment analysis with slacks-based measures |
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| Affiliation: | 1. Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA, USA;2. Center for Energy and Environmental Policy Research, Beijing Institute of Technology, Beijing, China;3. School of Management and Economics, Beijing Institute of Technology, Beijing, China;4. Collaborative Innovation Center of Electric Vehicles in Beijing, Beijing, China;1. Department of Applied Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran;2. Department of Applied Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran;1. University Espíritu Santo – UEES. UEES Business School, Km 2,5 Vía La Puntilla, EC091650 Samborondón, Ecuador;2. Department of Accounting and Finance, University of Zaragoza. Faculty of Economics and Business Administration, C/ Gran Vía 2, 50005 Zaragoza, Spain;1. Graduate Institute of Technology Management, National Taiwan University of Science and Technology, 43, Section 4, Keelung Road, Taipei 10607, Taiwan;2. College of Management, Yuan Ze University, 135 Yuan-Tung Road, Chung-Li, Taoyuan 32003, Taiwan;3. Department of Financial Management, National Defense University, 70, Section 2, Zhongyang North Road, Beitou, Taipei 112, Taiwan;4. Innovation Center for Big Data and Digital Convergence, Yuan Ze University, 135 Yuan-Tung Road, Chung-Li 32003, Taiwan |
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| Abstract: | Conventional data envelopment analysis (DEA) treats the production system as a black box when measuring efficiency, ignoring its internal structure. By taking the operations of the component processes of the system into consideration, several network DEA models have been developed. Of these, the slacks-based measure (SBM) approach has attracted much attention for its ability to provide suitable efficiency measures, especially for weakly efficient production units. This paper proposes a general SBM model for network systems, and is able to decompose the system efficiency into a weighted average of the process efficiencies. This relationship holds for all types of network structure. An example shows that the network model has stronger discriminating power than the conventional black-box model, and the system efficiency is indeed a weighted average of the process efficiencies. The decomposition of the system efficiency helps identify key factors to improve the performance of a production unit. |
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| Keywords: | Data envelopment analysis Slacks-based measure Network Efficiency decomposition |
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