DEA models for resource reallocation and production input/output estimation |
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| Institution: | 1. School of Management, University of Science and Technology of China, 96 Jinzhai Road, Hefei, Anhui 230026, PR China;2. Dongwu Business School, Soochow University, 50 Donghuan road, Suzhou, Jiangsu 215021, PR China;1. Faculty of Economics and Management, Vietnamese German University, Le Lai Street, Thu Dau Mot, Binh Duong, Vietnam;2. Department of Business Sciences, Technische Universität Braunschweig, Fallersleber-Tor-Wall 23, D-38100 Braunschweig, Germany;1. Decision Science Institute, School of Economics & Management, Fuzhou University, Fuzhou 350116, PR China;2. Key Laboratory of Spatial Data Mining & Information Sharing of Ministry of Education, Fuzhou University, Fuzhou 350116, PR China |
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| Abstract: | This paper discusses the “inverse” data envelopment analysis (DEA) problem with preference cone constraints. An inverse DEA model can be used for a decision making unit (DMU) to estimate its input/output levels when some or all of its input/output entities are revised, given its current DEA efficiency level. The extension of introducing additional preference cones to the previously developed inverse DEA model allows the decision makers to incorporate their preferences or important policies over inputs/outputs into the production analysis and resource allocation process. We provide the properties of the inverse DEA problem through a discussion of its related multi-objective and weighted sum single-objective programming problems. Numerical examples are presented to illustrate the application procedure of our extended inverse DEA model. In particular, we demonstrate how to apply the model to the case of a local home electrical appliance group company for its resource reallocation decisions. |
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