Two-Phase Network Data Envelopment Analysis: An Example of Bank Performance Assessment

Yu-cheng Liu
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Abstract

Data envelopment analysis (DEA) models assess decision-making units (DMUs), which directly convert multiple inputs into multiple outputs. Network DEA models have been studied extensively. However, the performance indices that link the two stages are assumed to be fixed or non-discretionary; their values are not adjustable. These models only assumed that the reductions on the inputs and additions on the outputs would improve the overall efficiency. But in the real world, the link is always adjustable. “ Free links ” means that the intermediate items are adjustable or discretionary, and each DMU can be increased or decreased from the observed one. The current chapter introduces a two-phase procedure with free links to assess system performance, Phase-I is a proposed slack-based measurement (SBM) model to partition the links into two sets: as-input and as-output. Phase-II is a modified SBM model to determine the slack of each input, as-input link, output and as-output link. This proposed model counts the slacks associated with the intermediate items in the efficiency scores and determines the entire system performance by the directional distance function. It is validated using network procedure and assesses the performance of supply chain management system.
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两阶段网络数据包络分析:以银行绩效评估为例
数据包络分析(DEA)模型评估决策单元(dmu),它直接将多个输入转化为多个输出。网络DEA模型已经得到了广泛的研究。但是,假定连接这两个阶段的业绩指标是固定的或非任意的;它们的值是不可调整的。这些模型只是假设减少投入和增加产出会提高总体效率。但在现实世界中,这种联系总是可以调整的。“自由链接”是指中间项目是可调整的或自由支配的,每个DMU可以在观察到的基础上增加或减少。本章介绍了一个带有自由链接的两阶段过程来评估系统性能,第一阶段是一个基于松弛的测量(SBM)模型,将链接划分为两组:作为输入和作为输出。第二阶段是修正的SBM模型,确定各输入、作为输入环节、输出和作为输出环节的松弛度。该模型计算与中间项目相关的休闲效率得分,并通过方向距离函数确定整个系统的性能。运用网络程序对其进行了验证,并对供应链管理系统的绩效进行了评价。
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