An interactive preference decision making approach to multi-response process design with location and dispersion effects

A. Salmasnia, Elmira Zifan, H. Mokhtari
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Abstract

Setting of design variables to meet the desired region of quality characteristics is a common problem in quality control. In this regard, many different optimisation approaches are available in literature. In most of traditional approaches, the required preference information should be articulated by the decision maker (DM) in advance. However, pre-determining such parameters is usually difficult and inaccurate. Furthermore, the majority of these techniques assume the constant variance of responses over the experimental region which is not a real assumption. Therefore, an interactive method for optimising the multiple response problems is presented in the current paper which does not require any signification of DM's preference information before the solving process. This method considers the location and dispersion effects of quality characteristics along with specification limits in a unified framework based on desirability function and the concept of coefficient of variation. The obtained results are compared with some of the existing methods on a real example to display the efficiency of the proposed method.
具有区位和分散效应的多响应过程设计的交互式偏好决策方法
设置设计变量以满足质量特性的期望区域是质量控制中的一个常见问题。在这方面,文献中有许多不同的优化方法。在大多数传统方法中,所需的偏好信息应由决策者(DM)事先阐明。然而,预先确定这些参数通常是困难和不准确的。此外,这些技术中的大多数假设在实验区域的响应的恒定方差,这不是一个真正的假设。因此,本文提出了一种求解多响应问题的交互式优化方法,该方法在求解过程之前不需要DM的偏好信息的任何意义。该方法基于期望函数和变异系数的概念,在统一的框架内考虑质量特征的位置和分散效应以及规格限制。通过一个实例,将所得结果与现有方法进行了比较,验证了所提方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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