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具有预防性维护和广义失效分布的 X-bar-S 控制图的经济统计设计。

Economic Statistical Design of integrated X-bar-S control chart with Preventive Maintenance and general failure distribution.

机构信息

Technological University of the Mixteca, Huajuapan de Leon, Oaxaca, Mexico.

出版信息

PLoS One. 2013;8(3):e59039. doi: 10.1371/journal.pone.0059039. Epub 2013 Mar 18.

DOI:10.1371/journal.pone.0059039
PMID:23527082
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3601122/
Abstract

The application of Preventive Maintenance (PM) and Statistical Process Control (SPC) are important practices to achieve high product quality, small frequency of failures, and cost reduction in a production process. However there are some points that have not been explored in depth about its joint application. First, most SPC is performed with the X-bar control chart which does not fully consider the variability of the production process. Second, many studies of design of control charts consider just the economic aspect while statistical restrictions must be considered to achieve charts with low probabilities of false detection of failures. Third, the effect of PM on processes with different failure probability distributions has not been studied. Hence, this paper covers these points, presenting the Economic Statistical Design (ESD) of joint X-bar-S control charts with a cost model that integrates PM with general failure distribution. Experiments showed statistically significant reductions in costs when PM is performed on processes with high failure rates and reductions in the sampling frequency of units for testing under SPC.

摘要

预防性维护 (PM) 和统计过程控制 (SPC) 的应用是实现高产品质量、降低生产过程中故障频率和降低成本的重要实践。然而,关于它们的联合应用,仍有一些尚未深入探讨的要点。首先,大多数 SPC 是使用 X -bar 控制图进行的,该控制图并没有充分考虑生产过程的可变性。其次,许多控制图设计的研究只考虑了经济方面,而必须考虑统计限制,以实现故障误检概率低的图表。第三,PM 对具有不同故障概率分布的过程的影响尚未得到研究。因此,本文涵盖了这些要点,提出了具有成本模型的联合 X-bar-S 控制图的经济统计设计 (ESD),该模型将 PM 与通用故障分布集成在一起。实验表明,当对高故障率的过程进行 PM 时,成本会显著降低,并且在 SPC 下对单位进行测试的采样频率也会降低。

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