计数型CPK控制图
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计数型控制图分类及案例分析引言计数型控制图是一种常用的质量管理工具,用于监控和控制生产过程中的缺陷数量。
它可以帮助企业及时发现并解决生产过程中的质量问题,提高产品质量和生产效率。
本文将介绍计数型控制图的分类及其在实际生产中的应用案例分析。
一、计数型控制图分类根据被测量的质量特征的性质,计数型控制图可分为以下几类:1. P型控制图P型控制图是用于监控不合格品(缺陷品)的百分比的控制图。
它适用于对质量特征进行二元分类的场景,如产品是否合格、工作过程是否按照要求进行等。
在P型控制图中,我们记录每次生产中不合格品(缺陷品)的数量,然后计算不合格品的百分比。
2. C型控制图C型控制图是用于监控单位产品中缺陷次数的控制图。
它适用于对质量特征进行可计数的场景,如产品中缺陷的数量、设备故障次数等。
在C型控制图中,我们按照一定的时间间隔或生产批次来统计缺陷的数量。
3. U型控制图U型控制图是用于监控单位产品中缺陷的平均数的控制图。
U型控制图是对C型控制图的升级,它考虑了单位产品的不同大小或不同生产周期中的缺陷数量的波动。
通过综合考虑缺陷数目和单位产品的差异,U型控制图可以更加准确地监控和控制生产过程中的质量问题。
二、案例分析在实际生产中,计数型控制图被广泛应用于各个行业。
下面以汽车行业为例,进行案例分析。
1. P型控制图应用案例:汽车生产线上的不合格率监控汽车生产过程中存在着许多环节,如果某个环节的不合格品率过高,将严重影响整体生产效率和产品质量。
因此,汽车生产企业常常利用P 型控制图来监控生产线上的不合格品率。
在该案例中,汽车生产企业每天按照一定的时间间隔对生产线上的车辆进行抽检,记录不合格品的数量,并计算当天的不合格品率。
通过绘制P型控制图,汽车生产企业可以及时发现生产线上的不良情况,并采取相应的措施进行改进,从而提高产品质量和生产效率。
2. C型控制图应用案例:汽车发动机缺陷次数监控汽车发动机是汽车的核心部件之一,其质量直接影响到整车的可靠性和性能。
案例分析:
某工厂生产一产品,要求对产品的管电压进行质量控制,质检员按要求总计抽样了125个样本,其抽样方法为每小时5PCS,共计抽样25次!现要求对这些样本进行计算,得出如下数据:
XUCL Xbar Xlcl RUCL Rbar Rlcl Ca Cp Cpk δa
要求:
<1>:所有质量指标之解答皆要有明确而详细的解答过程!
<2>:精确到小数点后第三位!
抽样所得资料如下:
计算过程中会用到的常数:
A2=0.58 D3=0 D4=2.11 d2=2.33 USL=671 LSL=549 SL=610
XUCL Xbar Xlcl RUCL Rbar Rlcl Ca Cp Cpk δa
制图
说明:
<1> 描点与绘图时,要求将各图的管制上下限及中心线的值标记在图中,中心线为实线,管制上下限在图中以虚线表示!
<2> 描点后,点与点之间依次以虚线连结,所有图形之描绘应力求简洁美观!
均值图UCL=___ CL=___ LCL=___
组1 组2 组3 组4 组5 组6 组7 组8 组9 组10 组11 组12 组13 组14组15组16组17组18组19组20组21组22组23组24组25 极差图UCL=___ CL=___ LCL=___
组1 组2 组3 组4 组5 组6 组7 组8 组9 组10 组11 组12 组13 组14 组15 组16组17组18组19组20组21组22组23 组24组25。
NO测定 D A T A 5.31 5.20 5.35 5.37 5.28 4.8=SL 5.8=SU 5.23 5.24 5.20 5.31 5.345.37 5.36 5.37 5.34 5.455.45 5.24 5.28 5.37 5.365.45 5.38 5.45 5.24 5.325.36 5.39 5.31 5.25 5.345.38 5.24 5.28 5.37 5.255.37 5.38 5.45 5.24 5.245.32 5.39 5.31 5.25 5.27105.37 5.42 5.23 5.20 5.23115.29 5.28 5.37 5.37 5.29125.28 5.38 5.45 5.24 5.43135.29 5.39 5.31 5.25 5.27145.28 5.42 5.23 5.24 5.20基准表★工程能力的有无是按照如下基准来判断155.24 5.28 5.37 5.29 5.45A+▶ 2.0 > Cpk ≥ 1.67 : 优应当保持165.38 5.45 5.37 5.42 5.23▶ 1.67 > Cpk ≥ 1.33 : 能力良好,状态稳定,但应尽力提升为+级175.39 5.31 5.29 5.28 5.37 B ▶ 1.33 > Cpk ≥ 1.00 : 状态一般,制程因素稍有变异即有产生不良的危险,应 185.26 5.39 5.28 5.38 5.45利用各种资源及方法将其提升为 A 级195.38 5.42 5.29 5.39 5.31C ▶ 1.00 > Cpk ≥ 0.67 : 差制程不良较多,必须提升其能力205.30 5.37 5.39 5.31 5.25 D ▶ 0.67 > Cpk : 不可接受其能力太差,应考虑重新整改设计制程21结论2223规格中心μ与测定平均值的差异0.02624254.8=SL5.8=SU 262728293031325.3=μ33LOT NO 测定者样品数(n)100下限规格 (SL) 4.80测定设备功率表测定日最大(Max)5.450上限规格(SU) 5.80客户名做成者最小(Min) 5.200规格中心μ5.30规格做成日平均(X-bar) 5.327Cp2.33测定项目功率标准偏差σ0.072Cpk 2.20产品名上限不良PPM母集团推定不良率工程名下限不良PPMPPM 特别备注 2.表中除了数据库外,黄色表格需要人手输入!0.010값치수평균편차U 값U 제곱값제곱근함수값0.0534.6105.3270.072(9.996)(49.957)0.0006.283 2.5070.3990.0002.2024.6205.3270.072(9.856)(48.572)0.0006.283 2.5070.3990.000구간치 4.6305.3270.072(9.717)(47.207)0.0006.283 2.5070.3990.0000.031계급의수 4.640 5.3270.072(9.577)(45.861)0.000 6.283 2.5070.3990.0005.169 5.1840.0000.0004.6505.3270.072(9.438)(44.535)0.0006.283 2.5070.3990.0005.200 5.216 4.000 4.0004.6605.3270.072(9.298)(43.228)0.0006.283 2.5070.3990.0005.231 5.24714.00014.000결작 성담 당팀 장 4.670 5.3270.072(9.159)(41.941)0.000 6.283 2.5070.3990.0005.263 5.2788.0008.0004.6805.3270.072(9.019)(40.673)0.0006.283 2.5070.3990.0005.294 5.30916.00016.0004.6905.3270.072(8.880)(39.424)0.0006.283 2.5070.3990.0005.325 5.34113.00013.000재 4.700 5.3270.072(8.740)(38.195)0.000 6.283 2.5070.3990.0005.356 5.37217.00017.0004.7105.3270.072(8.601)(36.985)0.000 6.283 2.5070.3990.0005.388 5.40314.00014.0004.7205.3270.072(8.461)(35.795)0.0006.283 2.5070.3990.0005.419 5.434 5.000 5.0004.7305.3270.072(8.322)(34.625)0.0006.283 2.5070.3990.0005.450 5.4669.0009.0004.7405.3270.072(8.182)(33.473)0.0006.283 2.5070.3990.0005.481 5.4970.0000.0004.7505.3270.072(8.043)(32.342)0.0006.283 2.5070.3990.0005.513 5.5280.0000.000 4.7605.3270.072(7.903)(31.229)0.0006.283 2.5070.3990.0005.5590.000 4.7705.3270.072(7.764)(30.137)0.0006.283 2.5070.3990.0005.5910.000 4.7805.3270.072(7.624)(29.063)0.0006.283 2.5070.3990.0005.6220.000 4.7905.3270.072(7.485)(28.009)0.0006.283 2.5070.3990.0005.6530.000 4.8005.3270.072(7.345)(26.975)0.000 6.283 2.5070.3990.0000.3190.3195.6840.000 4.8105.3270.072(7.206)(25.960)0.0006.283 2.5070.3990.0005.7160.000 4.8205.3270.072(7.066)(24.965)0.0006.283 2.5070.3990.0005.7470.000 4.8305.3270.072(6.927)(23.989)0.000 6.283 2.5070.3990.0005.7780.000 4.8405.3270.072(6.787)(23.032)0.000 6.283 2.5070.3990.0005.8090.000 4.8505.3270.072(6.648)(22.095)0.000 6.283 2.5070.3990.0005.8410.000 4.8605.3270.072(6.508)(21.177)0.000 6.283 2.5070.3990.0005.8720.000 4.8705.3270.072(6.369)(20.279)0.000 6.283 2.5070.3990.0005.9030.000 4.8805.3270.072(6.229)(19.400)0.000 6.283 2.5070.3990.0005.9340.000 4.8905.3270.072(6.090)(18.541)0.000 6.283 2.5070.3990.0005.9660.000 4.9005.3270.072(5.950)(17.701)0.0006.283 2.5070.3990.0005.9970.000 4.9105.3270.072(5.810)(16.881)0.000 6.283 2.5070.3990.0006.0280.000 4.9205.3270.072(5.671)(16.080)0.000 6.283 2.5070.3990.0006.0590.000 4.9305.3270.072(5.531)(15.299)0.0006.283 2.5070.3990.0006.0910.000 4.9405.3270.072(5.392)(14.537)0.0006.283 2.5070.3990.0006.1220.000 4.9505.3270.072(5.252)(13.794)0.0006.283 2.5070.3990.0006.1530.000 4.9605.3270.072(5.113)(13.071)0.0006.283 2.5070.3990.0006.1840.000 4.9705.3270.072(4.973)(12.368)0.0006.283 2.5070.3990.000100.000 4.9805.3270.072(4.834)(11.683)0.0006.283 2.5070.3990.0004.9905.3270.072(4.694)(11.019)0.0006.283 2.5070.3990.0005.0005.3270.072(4.555)(10.374)0.0006.283 2.5070.3990.0005.0105.3270.072(4.415)(9.748)0.0006.283 2.5070.3990.0005.0205.3270.072(4.276)(9.142)0.0006.283 2.5070.3990.0005.0305.3270.072(4.136)(8.555)0.0006.283 2.5070.3990.0005.0405.3270.072(3.997)(7.988)0.0006.283 2.5070.3990.0005.0505.3270.072(3.857)(7.440)0.0016.283 2.5070.3990.0005.0605.3270.072(3.718)(6.911)0.001 6.283 2.5070.3990.0005.0705.3270.072(3.578)(6.402)0.002 6.283 2.5070.3990.0015.0805.3270.072(3.439)(5.913)0.0036.283 2.5070.3990.0015.0905.3270.072(3.299)(5.443)0.0046.283 2.5070.3990.0025.1005.3270.072(3.160)(4.992)0.0076.283 2.5070.3990.0035.1105.3270.072(3.020)(4.561)0.0106.283 2.5070.3990.0045.1205.3270.072(2.881)(4.150)0.0166.283 2.5070.3990.0065.1305.3270.072(2.741)(3.757)0.0236.283 2.5070.3990.0095.1405.3270.072(2.602)(3.385)0.0346.283 2.5070.3990.0145.1505.3270.072(2.462)(3.031)0.0486.283 2.5070.3990.0195.1605.3270.072(2.323)(2.698)0.0676.283 2.5070.3990.0275.1705.3270.072(2.183)(2.383)0.0926.283 2.5070.3990.0375.1805.3270.072(2.044)(2.089)0.1246.283 2.5070.3990.0495.1905.3270.072(1.904)(1.813)0.1636.283 2.5070.3990.0655.2005.3270.072(1.765)(1.557)0.2116.283 2.5070.3990.0845.2105.3270.072(1.625)(1.321)0.2676.283 2.5070.3990.1065.2205.3270.072(1.486)(1.104)0.3326.283 2.5070.3990.1325.2305.3270.072(1.346)(0.906)0.4046.283 2.5070.3990.1615.2405.3270.072(1.207)(0.728)0.4836.283 2.5070.3990.1935.2505.3270.072(1.067)(0.569)0.5666.283 2.5070.3990.2265.2605.3270.072(0.928)(0.430)0.6506.283 2.5070.3990.259 5.2705.3270.072(0.788)(0.311)0.7336.283 2.5070.3990.292 5.2805.3270.072(0.649)(0.210)0.8106.283 2.5070.3990.323 5.2905.3270.072(0.509)(0.130)0.8786.283 2.5070.3990.350 5.300 5.3005.3270.072(0.370)(0.068)0.9346.283 2.5070.3990.3730.3980.3985.3105.3270.072(0.230)(0.026)0.9746.283 2.5070.3990.3895.3205.3270.072(0.091)(0.004)0.9966.283 2.5070.3990.3975.3305.3270.0720.049(0.001)0.9996.283 2.5070.3990.3985.3405.3270.0720.188(0.018)0.9826.283 2.5070.3990.3925.3505.3270.0720.328(0.054)0.9486.283 2.5070.3990.3785.3605.3270.0720.467(0.109)0.8976.283 2.5070.3990.3585.3705.3270.0720.607(0.184)0.8326.283 2.5070.3990.3325.3805.3270.0720.746(0.279)0.7576.283 2.5070.3990.3025.3905.3270.0720.886(0.392)0.6756.283 2.5070.3990.2695.4005.3270.072 1.025(0.526)0.5916.283 2.5070.3990.2365.4105.3270.072 1.165(0.678)0.5076.283 2.5070.3990.2025.4205.3270.072 1.304(0.851)0.4276.283 2.5070.3990.1705.4305.3270.072 1.444(1.042)0.3536.283 2.5070.3990.1415.4405.3270.072 1.583(1.254)0.2856.283 2.5070.3990.1145.4505.3270.072 1.723(1.484)0.2276.283 2.5070.3990.0905.4605.3270.072 1.862(1.734)0.1776.283 2.5070.3990.0705.4705.3270.072 2.002(2.004)0.1356.283 2.5070.3990.0545.4805.3270.072 2.141(2.293)0.1016.283 2.5070.3990.0405.4905.3270.072 2.281(2.601)0.0746.283 2.5070.3990.0305.5005.3270.072 2.420(2.929)0.0536.283 2.5070.3990.0215.5105.3270.072 2.560(3.277)0.0386.283 2.5070.3990.0155.5205.3270.072 2.699(3.644)0.0266.283 2.5070.3990.0105.5305.3270.072 2.839(4.030)0.0186.283 2.5070.3990.0075.5405.3270.072 2.978(4.436)0.0126.283 2.5070.3990.0055.5505.3270.072 3.118(4.861)0.0086.283 2.5070.3990.0035.5605.3270.072 3.257(5.306)0.0056.283 2.5070.3990.0025.5705.3270.072 3.397(5.770)0.0036.283 2.5070.3990.0015.5805.3270.072 3.537(6.253)0.002 6.283 2.5070.3990.0015.5905.3270.072 3.676(6.757)0.001 6.283 2.5070.3990.0005.6005.3270.072 3.816(7.279)0.0016.283 2.5070.3990.0005.6105.3270.072 3.955(7.821)0.0006.283 2.5070.3990.0005.6205.3270.072 4.095(8.383)0.0006.283 2.5070.3990.0005.6305.3270.072 4.234(8.964)0.0006.283 2.5070.3990.0005.6405.3270.072 4.374(9.564)0.0006.283 2.5070.3990.0005.6505.3270.072 4.513(10.184)0.0006.283 2.5070.3990.0005.6605.3270.072 4.653(10.823)0.0006.283 2.5070.3990.0005.6705.3270.072 4.792(11.482)0.0006.283 2.5070.3990.0005.6805.3270.072 4.932(12.160)0.0006.283 2.5070.3990.0005.6905.3270.072 5.071(12.858)0.0006.283 2.5070.3990.0005.7005.3270.072 5.211(13.575)0.0006.283 2.5070.3990.0005.7105.3270.072 5.350(14.312)0.0006.283 2.5070.3990.0005.7205.3270.072 5.490(15.068)0.0006.283 2.5070.3990.0005.7305.3270.072 5.629(15.844)0.0006.283 2.5070.3990.0005.7405.3270.072 5.769(16.639)0.000 6.283 2.5070.3990.0005.7505.3270.072 5.908(17.453)0.0006.283 2.5070.3990.0005.7605.3270.0726.048(18.287)0.000 6.283 2.5070.3990.0005.7705.3270.0726.187(19.140)0.000 6.283 2.5070.3990.0005.7805.3270.0726.327(20.013)0.000 6.283 2.5070.3990.0005.7905.3270.0726.466(20.906)0.000 6.283 2.5070.3990.0005.8005.3270.0726.606(21.817)0.000 6.283 2.5070.3990.0000.3190.3195.8105.3270.0726.745(22.749)0.000 6.283 2.5070.3990.0005.8205.3270.0726.885(23.699)0.000 6.283 2.5070.3990.0005.8305.3270.0727.024(24.670)0.0006.283 2.5070.3990.0005.8405.3270.0727.164(25.659)0.0006.283 2.5070.3990.0005.8505.3270.0727.303(26.668)0.000 6.283 2.5070.3990.0005.8605.3270.0727.443(27.697)0.0006.283 2.5070.3990.0005.8705.3270.0727.582(28.745)0.0006.283 2.5070.3990.0005.8805.3270.0727.722(29.813)0.0006.283 2.5070.3990.0005.8905.3270.0727.861(30.900)0.0006.283 2.5070.3990.0005.9005.3270.0728.001(32.006)0.0006.283 2.5070.3990.0005.9105.3270.0728.140(33.132)0.0006.283 2.5070.3990.0005.9205.3270.0728.280(34.277)0.0006.283 2.5070.3990.0005.9305.3270.0728.419(35.442)0.0006.283 2.5070.3990.0005.9405.3270.0728.559(36.626)0.000 6.283 2.5070.3990.0005.9505.3270.0728.698(37.830)0.0006.283 2.5070.3990.0005.9605.3270.0728.838(39.053)0.0006.283 2.5070.3990.0005.9705.3270.0728.977(40.296)0.0006.283 2.5070.3990.0005.9805.3270.0729.117(41.558)0.0006.283 2.5070.3990.0005.9905.3270.0729.256(42.840)0.0006.283 2.5070.3990.0006.0005.3270.0729.396(44.141)0.0006.283 2.5070.3990.0006.0105.3270.0729.535(45.461)0.0006.283 2.5070.3990.0006.0205.3270.0729.675(46.801)0.000 6.283 2.5070.3990.0006.0305.3270.0729.814(48.161)0.0006.283 2.5070.3990.0006.0405.3270.0729.954(49.540)0.0006.283 2.5070.3990.0006.050 5.3270.07210.093(50.938)0.000 6.283 2.5070.3990.000工程能力分析表0 2 4 6 8 10 12 14 16 18。