Journal
EXPERT SYSTEMS WITH APPLICATIONS
Volume 157, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2020.113478
Keywords
Data envelopment analysis; Additive network model; Duality; Frontier projection; Divisional efficiency
Categories
Funding
- National Natural Science Foundation of China [71901032]
- National Key R&D Program of China [2017YFB1400400]
- Humanities and Social Sciences Fund of Ministry of Education of China [19C11232004]
- Natural Science Foundation of Beijing [9202004]
- Project for Promoting the Connotation Development and Improving the Scientific Research Level of Beijing Information Science & Technology University [5211910928]
- Social Science Foundation of Beijing [19JDGLB021, 19GLC073]
- Scientific Research Plan of Beijing Municipal Education Commission [SM202011232003, SM202011232004]
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In the previous literature, it is demonstrated that the dual equivalence of multiplier and envelopment models that exists in standard data envelopment analysis (DEA) is not necessarily true for network DEA to derive frontier projection and divisional efficiency. Multiplier network model is often used for computing the divisional efficiency while envelopment network model is often used for identifying the frontier projection for inefficient decision making units (DMUs). In this paper, we show that the duality of standard DEA can be extended to two-stage additive network DEA. We propose an improved golden section method to solve parametric linear multiplier network model. Based on the primal-dual corre-spondence of parametric linear programming, we subsequently develop envelopment network model in parametric linear form to determine frontier projection and to find divisional efficiency as well. (C) 2020 Elsevier Ltd. All rights reserved.
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