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首页> 外文期刊>International journal of production economics >Measuring and decomposing firm's revenue and cost efficiency: The Russell measures revisited
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Measuring and decomposing firm's revenue and cost efficiency: The Russell measures revisited

机译：衡量和分解公司的收入和成本效率：重新审视罗素的方法

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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. (C) 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
机译：总体效率低下的衡量和分解对于面临不断变化的价格的公司而言非常重要，因为由此产生的损失会影响经理的决策。在本文中，我们提请注意现有方法中的一些问题，这些方法将整体效率低下分解为问题的根源，并根据著名的Russell措施提出了新的收入和成本低下措施。具体而言，技术效率低下的成分是通过罗素输出（输入）测度计算得出的，该度量能够合并与输出（输入）端相对应的所有效率低下的来源，特别是输出（输入）余量，而分配性效率低下可通过残差得到。我们所有的结果都是使用凸共轭理论从新的Fenchel-Mahler不等式得出的。本文在理论和实践上都有一些启示。从理论上讲，我们在收入（成本）函数和Russell产出（投入）测度之间建立了自然的对偶关系。尽管以前文献中没有提供这种对偶结果的尝试都没有成功。从实践的角度来看，我们提供了一种将收益（成本）效率低下分解为分配效率低下的方法，并提供了一种衡量帕累托意义上的技术效率低下的组件，这与将收益（成本）低效率分解为通常的方法（例如那些基于Shephard的输出（输入）距离函数和定向输出（输入）距离函数。 （C）2015作者。由Elsevier B.V.发布。这是CC BY-NC-ND许可（http://creativecommons.org/licenses/by-nc-nd/4.0/）下的开放获取文章。

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