Process Capability Analysis,(Measure Phase),Scope of Module,Process Variation Process Capability Specification, Process and Control Limits Process Potential vs Process Performance Short-Term vs Long-Term Process Capability Process Capability for Non-Normal Data Cycle-Time(Exponential Distribution) Reject Rate(Binomial Distribution) Defect Rate(Poisson Distribution),Process Variation,Process Variation is the inevitable differences among individual measurements or units produced by a process. Sources of Variation within unit(positional variation) between units(unit-unit variation) between lots(lot-lot variation) between lines(line-line variation) across time(time-time variation) measurement error(repeatability =1, ),Exponential (x; ),Example 4,A customer service manager wants to determine the process capability for his department. A primary performance index is the time taken to close a customer complaint. The goal for this index is to close a complaint within one calendar week. Performance over the last 400 complaints was reviewed.,Example 4,Stat Quality Tools Capability Analysis (Weibull),Example 4,Example 4A,Stat Quality Tools Capability Sixpack (Weibull),Example 4A,Process Capability for Reject Rate,For a Normal Distribution, the proportion of parts produced beyond a specification limit is,Reject Rate,Process Capability for Reject Rate,Thus, for every reject rate there is an accompanying Z-Score, where Recall that Hence,Process Capability for Reject Rate,Estimation of Ppk for Reject Rate Determine the long-term reject rate (p) Determine the inverse cumulative probability for p, using Calc Probability Distribution Normal Z-Score is the magnitude of the returned value Ppk is one-third of the Z-Score,Example 5,A sales manager plans to assess the process capability of his telephone sales departments handling of incoming calls. The following data was collected over a period of 20 days: number of incoming calls per day number of unanswered calls per days,Example 5,Stat Quality Tools Capability Analysis (Binomial),Example 5,Process Capability for Defect Rate,Other applications, approximating a Poisson Distribution : error rates particle count chemical concentration,Process Capability for Defect Rate,Estimation of Ytp for Defect Rate Define size of an inspection unit Determine the long-term defects per unit (DPU) DPU= Total Defects Total Units Determine the throughput yield (Ytp) Ytp= expDPU,Process Capability for Defect Rate,Estimation of Sigma-Capability for Defect Rate Determine the opportunities per unit Determine the long-term defects per opportunity (d) d= defects per unit opportunities per unit Determine the inverse cumulative probability for d, using Calc Probability Distribution Normal Z-Score is the magnitude of the returned value Sigma-Capability = Z-Score + 1.5,Example 6,The process manager for a wire manufacturer is concerned about the effectiveness of the wire insulation process. Random lengths of electrical wiring are taken and tested for weak spots in their insulation by means of a test voltage. The number of weak spots and the length of each piece of wire are recorded.,Example 6,Stat Quality Tools Capability Analysis (Poisson),Example 6,Defects per Unit = 0.0265194 Throughput Yield = expDPU = exp0.0265194 = 0.9738 c.f. First-Time Yield = 2 / 100 = 0.02,Example 6,Define 1 Inspection Unit= 125 unit length of wire i.e.Units= Length 125,Example 6A,Stat Quality Tools Capability Analysis (Poisson),Example 6A,Defects per Unit = 3.31493 Throughput Yield = expDPU = exp3.31493 = 0.0363 c.f. First-Time Yield = 2 / 100 = 0.02,Example 6B,Defects per Unit = 3.31493 Opportunities per Unit = 1 Defects per Opportunity = 3.31493 Z-Score = ?,Example 6B,1 inspection unit = 1 unit length of wire Opportunities per Unit = 1 Defects per Opportunity = 329 12,406 = 0.0265 Z-Score = Abs1(0.0265) = 1.935 Sigma-Capability = Z-Score + 1.5 = 3.435,DPU,Z-Score,s,Choice of Six Sigma Metric,1、有时候读书是一种巧妙地避开思考的方法。20.9.1820.9.18Friday, September 18, 2020 2、阅读一切好书如同和过去最杰出的人谈话。11:44:1111:44:1111:449/18/2020 11:44:11 AM 3、越是没有本领的就越加自命不凡。20.9.1811:44:1111:44Sep-2018-Sep-20 4、越是无能的人，越喜欢挑剔别人的错儿。11:44:1111:44:1111:44Friday, September 18, 2020 5、知人者智，自知者明。胜人者有力，自胜者强。20.9.1820.9.1811:44:1111:44:11September 18, 2020 6、意志坚强的人能把世界放在手中像泥块一样任意揉捏。2020年9月18日星期五上午11时44分11秒11:44:1120.9.18 7、最具挑战性的挑战莫过于提升自我。2020年9月上午11时44分20.9.1811:44September 18, 2020 8、业余生活要有意义，不要越轨。2020年9月18日星期五11时44分11秒11:44:1118 September 2020 9、一个人即使已登上顶峰，也仍要自强不息。上午11时44分11秒上午11时44分11:44:1120.9.18 10、你要做多大的事情，就该承受多大的压力。9/18/2020 11:44:11 AM11:44:112020/9/18 11、自己要先看得起自己，别人才会看得起你。9/18/2020 11:44 AM9/18/2020 11:44 AM20.9.1820.9.18 12、这一秒不放弃，下一秒就会有希望。18-Sep-2018 September 202020.9.18 13、无论才能知识多么卓著，如果缺乏热情，则无异纸上画饼充饥，无补于事。Friday, September 18, 202018-Sep-2020.9.18 14、我只是自己不放过自己而已，现在我不会再逼自己眷恋了。20.9.1811:44:1118 September 202011:44,谢谢大家,