Efficiency evaluation in data envelopment analysis using strong defining hyperplanes
提出一种仅使用技术强定义超平面的DEA交叉效率方法,开发了新算法并证明其有限性和正确性,结合已知方法降低计算负担,真实数据验证了优越性。
Abstract Cross-efficiency analysis in DEA generally uses a two-stage procedure: first, optimize a DMU’s individual efficiency score; next, push the efficiencies of all DMUs in a desired direction. In order to reduce subjective judgement in the second step, we provide a cross-efficiency method using only strong defining hyperplanes of the underlying technology. We develop a new DEA-based algorithm, and prove its finiteness and correctness. To reduce the computational burden, we show how one can combine the procedure with a known beneath-and-beyond procedure. Numerical investigations—comprising real-world data—demonstrate the superiority of the new method.