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IE405 QUALITY MANAGEMENT Recitation 7. -Process Capability Cp and Cpk values -Gage and Measurement System Capability Studies NOVEMBER 26TH 2002. Process Capability Ratios. ACTUAL CAPABILITY. POTENTIAL CAPABILITY. Rec7 Q1. PROCESS IS NOT CAPABLE POSSIBLE ALTERNATIVES
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IE405 QUALITY MANAGEMENTRecitation 7 -Process Capability Cp and Cpk values -Gage and Measurement System Capability Studies NOVEMBER 26TH 2002
Process Capability Ratios ACTUAL CAPABILITY POTENTIAL CAPABILITY
Rec7 Q1 PROCESS IS NOT CAPABLE POSSIBLE ALTERNATIVES -Change specification limits -Reduce variability
Rec7 Q1 Cpk for 700: • Cpu:0,818 ; Cpl:0,818 Process is producing product that does not conform to specifications. Cpk for 740 -Cpu: 0,4094 ; Cpl:1,22 Choose Cpu Producing products that do not conform to specifications
Rec7 Q1 Cpk for 780: • Cpu:0 ; Cpl:1,637 Choose Cpu Average is equal to one of the specification limits Cpk for 740 -Cpu:- 0.409 ; Cpl:2,0473 Choose Cpu Average is outside specifications.
Rec7 Q2 • Cp=2.05-1,99/6*0,0971 =0,1029 • Process is not capable • Cpk (Cpu:0,0186 ; Cpl:-0,187) choose Cpl • Average is outside specification limits • P(x<1.99) +P(x>2.05) =0.017 1.7% defective
Characteristics of the X and R charts in gage and measurement system capability studies • X chart shows the DISCRIMINATING POWER of the instrument, ability of the gage to distinguish between units of product. • R chart shows the MAGNITUDE of measurement error, or gage capability. • R values represent the difference between measurements made on the same unit using the same instrument.
Components of Measurement Error • Reproducibility : due to different operators using the gage (different time periods,different environments, or in general different conditions) • Repeatibility:as reflecting the basic inherent precision of the gage itself
Rec7 Q3 REPRODUCIBILITY REPEATABILITY
Rec7 Q3 P/T OF 0.1 or LESS often implies adequate gage capability