Measuring and decomposing firm׳s revenue and cost efficiency: The Russell measures revisited
Measuring and decomposing firm׳s revenue and cost efficiency: The Russell measures revisited
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DOI：
10.1016/j.ijpe.2015.03.018
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发表时间：
2015-07
影响因子：
12
通讯作者：
J. Aparicio;F. Borrás;J. Pastor;Fernando Vidal
中科院分区：
文献类型：
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作者：
J. Aparicio;F. Borrás;J. Pastor;Fernando Vidal
总体低效率的衡量和分解对于面临价格变化世界的公司来说非常重要，因为由此产生的损失会对管理者的决策产生影响。在本文中，我们提请注意现有方法中的一些问题，将整体低效率分解为其根源，并基于著名的罗素措施提出新的收入和成本低效率措施。具体来说，技术无效率成分是通过罗素输出（输入）测度来计算的，它能够纳入与输出（输入）侧相对应的所有低效率来源，特别是输出（输入）松弛，而配置低效率则通过残差来检索。我们所有的结果都是使用凸共轭理论从新的芬切尔-马勒不等式得出的。本文具有多种理论和实践意义。从理论角度来看，我们在收益（成本）函数和罗素产出（投入）测度之间建立了天然的对偶关系；尽管之前的文献尝试提供这种二元性结果并不成功。从实用的角度来看，我们提供了一种将收入（成本）无效率分解为配置无效率的方法，以及一个衡量帕累托意义上的技术无效率的组件，这与通常的分解收入（成本）无效率的方法（例如基于Shephard输出（输入）距离函数和定向输出（输入）距离函数的方法）形成鲜明对比。
Overall inefficiency measurement and decomposition are important for firms facing a world of changing prices since the resultant loss has implications on managers׳ decision making. In this paper, we draw attention to some problems within existing approaches to decompose overall inefficiency into its sources and propose new revenue and cost inefficiency measures based on the well-known Russell measures. Specifically, the technical inefficiency component is calculated by the Russell output (input) measure, which is able to incorporate all sources of inefficiency corresponding to the output (input) side, specifically output (input) slacks, whereas allocative inefficiency is retrieved residually. All our results are derived from a new Fenchel–Mahler inequality using the theory of convex conjugates. This paper has several implications in theory and practice. From a theoretical point of view, we establish a natural dual relationship between the revenue (cost) function and the Russell output (input) measure; despite the previous unsuccessful attempts in the literature to provide such duality result. From a practical point of view, we provide a way of decomposing revenue (cost) inefficiency into allocative inefficiency and a component that measures technical inefficiency in the sense of Pareto, contrasting with the usual approaches for decomposing revenue (cost) inefficiency, such as those based on Shephard׳s output (input) distance function and the directional output (input) distance function.