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过程能力指数(Cpk)

1980
Quality control engineer analyzing process capability index in manufacturing.

(图片仅供参考)

Cpk 是衡量流程在客户定义的规格限度内生产输出能力的统计指标。与跟踪稳定性的控制图不同,Cpk 量化的是流程能力。它衡量流程在规格限度之间的中心程度,并考虑了流程变异。Cpk 值越高,表示流程能力越强。公式为 [latex]C_{pk} = minleft[frac{USL �8211; mu}{3sigma}, frac{mu �8211; LSL}{3sigma}right][/latex]。

While control charts tell you if a process is stable and predictable, they do not indicate if the process is actually meeting customer requirements. This is the role of 过程能力 indices, with Cpk being one of the most widely used. Cpk bridges the gap between the “voice of the process” (its mean [latex]\mu[/latex] and standard deviation [latex]\sigma[/latex]) and the “voice of the customer” (the Upper Specification Limit, USL, and Lower Specification Limit, LSL). The index is calculated by finding the distance from the process mean to the nearest specification limit and dividing it by three times the process standard deviation (representing half the natural process spread).

Cpk 中的“k”专门用于衡量过程均值相对于规格限的居中程度。一个完全居中的过程,其均值应正好位于上限 (USL) 和下限 (LSL) 的中间位置。如果过程均值向某个限值移动,即使整体过程离散程度(变异)保持不变,Cpk 值也会降低。这是因为随着过程均值接近规格限值,产生缺陷的风险会增加。Cpk 值为 1.0 表示该过程刚好能够满足规格要求(假设服从正态分布,则仍会预期存在少量缺陷)。许多行业,尤其​​是汽车行业,要求 Cpk 值达到 1.33 甚至 1.67,以确保高质量水平并为任何潜在的过程偏移提供缓冲。

UNESCO Nomenclature: 1209
– Statistics

类型

抽象系统

中断

重大的

用法

广泛使用

前体

  • 统计过程控制 (spc)
  • 工程规范限值的概念
  • 正态分布理论
  • 标准差作为离散程度的度量

应用程序

  • 供应商质量保证计划
  • 产品设计和公差设定
  • process improvement project selection (六西格玛)
  • 制造绩效标杆分析
  • 流程变更验证

专利:

NA

潜在创新理念

  • dynamic cpk monitoring for self-adjusting manufacturing processes
  • cpk-based 风险评估 models for financial portfolios
  • capability indices for non-normal data distributions in service industries
  • software development capability index based on bug density and resolution time
  • ai-driven process optimization to maximize cpk in real-time
  • cpk analysis for agricultural yield prediction within quality specifications
  • personalized learning plans based on a student’s ‘capability index’ for mastering subjects
  • supply chain logistics capability index for on-time delivery performance
  • energy efficiency capability index for building management systems
  • cpk for evaluating the consistency of ai algorithm predictions against ground truth
Related to: cpk, process capability, specification limits, usl, lsl, six sigma, quality metric, 过程性能, centering, variation.

历史背景

过程能力指数(Cpk)

1980
1980
1980
1980
1986-01-01
1990
1990
1975-06-01
1980
1980
1980
1982-07-01
1988-06-01
1990
1993

(如果日期未知或不相关,例如“流体力学”,则提供其显著出现的近似估计)

第十年 周年纪念日

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