Convex or non-convex? A new meta-frontier data envelopment analysis framework considering technology compatibility

Lei Chen (), Yi-Xin Lan () and Suhui Wang ()
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Lei Chen: Fuzhou University
Yi-Xin Lan: Fuzhou University
Suhui Wang: University of Science and Technology of China

OR Spectrum: Quantitative Approaches in Management, 2025, vol. 47, issue 1, No 10, 325-346

Abstract: Abstract The convexity of meta-frontier is a debated topic in data envelopment analysis (DEA). This paper claims that meta-frontier is a non-convex hull, but the production activities between the non-convex meta-frontier and the convex traditional production frontier may be feasible. Therefore, technology compatibility is defined to explain this feasibility, and a modified DEA model is constructed to evaluate the efficiency of decision-making units with technology heterogeneity and technology compatibility. Sequentially, two new meta-frontier DEA frameworks are constructed to evaluate and decompose efficiency, thereby revealing the impact of technology heterogeneity and technology compatibility on efficiency. In addition, a series of discussions are presented to analyze these two new frameworks.

Keywords: Data envelopment analysis; Meta-frontier; Technology compatibility; Technology heterogeneity; Convexity (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00291-024-00753-3

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