دانلود رایگان مقاله بهره وری پاره تو کومپانز شبکه DEA

ABSTRACT

Standard or black-box data envelopment analysis (DEA) evaluates the efficiency of thetransformation of a DMU’s exogenous inputs into itsfinal outputs by ignoring what is going onin its divisions (sub-DMUs). To cope with this problem, network DEA (NDEA), which canprovide adequate detail to management, has been developed and applied empirically. However,we show that some of the commonly used NDEA methodsare inconsistent with the notion ofPareto-Koopmans efficiency. Since the original development of DEA, Pareto-Koopmansefficiency is a fundamental property used in DEA. From a Pareto-Koopmans efficiencyperspective, therefore, we propose a two-phase NDEAapproach that can provide information onboth each DMU’s overall (system) efficiency statusand its divisions’ efficiency scores. Theproposed novel approach is developed based on the enhanced Russell graph model orequivalently the slacks-based model. We also propose several theorems and illustrate theproposed approach using two artificial numerical examples and a real-world data set.

5. Conclusions

Mathematical dominance is the fundamental propertyasserted by Charnes and Cooper(1984, 1985) and Charnes, Cooper, Golany and Seiford (1985) in standard DEA models. 26However, the dominance notions (criteria or rules)are not fully utilized to evaluate theefficiency of DMUs and divisions in NDEA. By incorporating the three vector-basednotions of dominance, we suggested a novel two-phase network Russell (NR) approachfor evaluating the overall efficiency performancesof DMUs with network internalstructures. We also presented and proved several theorems to show the validity of thetwo-phase NR approach. Clearly, the two-phase NR approach is also applicable toDMUs having series or parallel structures as well as other NDEA models.