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Measure the Relative Efficiency of a Four-Stage Production Process with NDEA

机译：测量NDEA的四阶段生产过程的相对效率

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The measurement of the relative efficiency of a production process with the DEA approach considers the process itself as a "black box" that uses inputs to produce outputs. In reality, many production processes require the carrying out of many activities grouped into phases and interconnected with each other. For this reason, modeling a production process as a network system in which its sub-parts are differently interconnected certainly represents a modeling closer to reality. The NDEA approach born within the DEA methodology has developed several models to measure the relative efficiency of network systems such as independent models, or connected models or relational models. The latter differs from the other two in that it allows you to measure the relative efficiency of the entire process and its parts once the operations between the parts of the system have been considered. In this paper, as well as modeling a production process with four stages with shared variables, we propose a relational NDEA model under different preference systems in the distribution of resources between sub-processes to measure their relative efficiency. The proposed NDEA model is in the multiplicative version. We will use non-real data to solve the model. Our conclusions are that 1) a four-stage production process can represent numerous real processes, 2) the proposed NDEA model can therefore be used for multiple different applications and 3) the system of preferences on the distribution of resources among subs processes influences the measurement of relative efficiency both for the whole process and for its sub-processes.
机译：使用DEA方法的生产过程的相对效率的测量将过程本身视为使用输入以产生输出的“黑匣子”。实际上，许多生产过程要求将许多活动进行分组成阶段并相互互连。因此，将生产过程建模为网络系统，其中其子部分不同互连肯定代表更接近现实的建模。在DEA方法中出生的NDEA方法已经开发了几种模型，以测量网络系统的相对效率，例如独立模型或连接的模型或关系模型。后者与其他两个不同，因为它允许您考虑系统部件之间的操作，从而测量整个过程及其部件的相对效率。在本文中，以及使用共享变量的四个阶段建模生产过程，我们提出了在不同偏好系统下的关系NDEA模型，以分布子过程之间的资源，以测量它们的相对效率。所提出的NDEA模型在乘法版本中。我们将使用非真实数据来解决模型。我们的结论是1）四阶段生产过程可以代表众多实际过程，2）所提出的NDEA模型因此可以用于多个不同的应用和3）偏移流程之间资源分布的偏好系统影响测量对于整个过程和其子过程的相对效率。

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