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首页> 外文期刊>Journal of King Saud University >Equivalence relationship between the general combined-oriented CCR model and the weighted minimax MOLP formulation
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Equivalence relationship between the general combined-oriented CCR model and the weighted minimax MOLP formulation

机译：通用组合定向CCR模型与加权minimax MOLP公式之间的等价关系

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In many applications, finding target unit is required, particularly when decision maker (DM) wants to search along the efficient frontier to locate the most preferred solution. Wong et al. [Wong, Y.H., Luque, M., Yang, J.B., 2009. Using interactive multiple objective methods to solve DEA problem with value judgments. Computers and Operations Research 36, 623–636] established an equivalence model between output-oriented dual DEA models and multiple objective linear programming (MOLP). In a similar vein, the aim of this paper is to establish an equivalence model between the general combined-oriented CCR model and multiple objective linear programming and also using Zionts–Wallenius’s method to integrate combined-oriented CCR performance assessment and target setting such that the DM’s preference can be taken into account in an interactive fashion. Our proposed model gives the most preferred solution for DM with trade off analysis on both input and output values of DMUs. The applicability of the proposed equivalence model is illustrated, using a real data set as a case study, which consists of 20 bank branches.
机译：在许多应用中，特别是在决策者（DM）希望沿着有效边界进行搜索以找到最喜欢的解决方案时，需要找到目标单元。 Wong等。 [Wong，Y.H.，Luque，M.，Yang，J.B.，2009。使用交互式多目标方法通过价值判断解决DEA问题。 [计算机与运筹学，36，623–636]建立了面向输出的双重DEA模型与多目标线性规划（MOLP）之间的等效模型。同样，本文的目的是在通用的面向组合的CCR模型和多目标线性规划之间建立一个等效模型，并使用Zionts–Wallenius的方法来集成面向组合的CCR性能评估和目标设定，以便可以以交互方式考虑DM的偏好。我们提出的模型通过对DMU的输入和输出值进行折衷分析，为DM提供了最优选的解决方案。以实际数据集为例，说明了所建议的等价模型的适用性，该数据集由20个银行分支机构组成。

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