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Game theory versus multi-objective model for evaluating multi-level structure by using data envelopment analysis

机译:利用数据包络分析评估多层结构的博弈论与多目标模型

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Data envelopment analysis (DEA) is a well-known approach to measuring operations performance of decision-making units (DMUs). Moreover, the balanced scorecard (BSC) is a methodology for strategic planning of organizations and measuring their internal performance. DEA generally uses quantity measures, whereas BSC applies quality measures. In the real world, DMUs usually have complex structures such as multi-level or hierarchical structures. In these structures, there are multiple levels and each level utilizes inputs to produce outputs separately, where the outputs of the previous level are the inputs to the next level. In the present paper, we apply BSC to the design of a multi-level structure. BSC encompasses the four perspectives of finance, customers, internal processes, and learning & growth. Furthermore, we apply DEA to multi-stage or hierarchical structures based on BSC. For this purpose, two different approaches, the cooperative model versus the multi-objective model, are proposed. Cooperative models such as bargaining games are game theoretic approaches to evaluate DMUs. In this paper, the DEA-game model uses the bargaining concept to link perspectives in BSC, while each perspective is considered separately as an objective in the multi-objective DEA model. In addition, two approaches are compared based on the related results. We also employ data on Iranian cement companies to show the different capabilities of each approach. Our findings demonstrate that the DEA-game model is capable of differentiating the cement companies from each other more effectively.
机译:数据包络分析(DEA)是一种众所周知的方法,用于测量决策单位(DMU)的运营绩效。此外,平衡计分卡(BSC)是一种用于组织战略规划和衡量其内部绩效的方法。 DEA通常使用数量度量,而BSC使用质量度量。在现实世界中,DMU通常具有复杂的结构,例如多级或分层结构。在这些结构中,有多个级别,每个级别利用输入来分别产生输出,其中上一级的输出是下一级的输入。在本文中,我们将BSC应用于多层结构的设计。 BSC涵盖了财务,客户,内部流程以及学习与成长的四个方面。此外,我们将DEA应用于基于BSC的多阶段或分层结构。为此,提出了两种不同的方法,协作模型与多目标模型。讨价还价游戏等合作模型是评估DMU的博弈论方法。在本文中,DEA博弈模型使用讨价还价的概念来链接BSC中的各个观点,而在多目标DEA模型中每个观点都被分别视为一个目标。另外,根据相关结果比较了两种方法。我们还使用有关伊朗水泥公司的数据来显示每种方法的不同功能。我们的发现表明,DEA博弈模型能够更有效地区分水泥公司。

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