1. 1 Antonio F. B. Costa Marcela A. G. Machado São Paulo State University Production Department Brazil THE BRAZILIAN COUCIL FOR SCIENTIFIC AND TECHNOLOGICAL DEVELOPMENT A Side-Sensitive Synthetic Chart Combined with a VSS Mean Chart

2. 2 Sample number 12345 Central region Action region Walter Andrew Shewhart

3. 3 Controling the Process Shewhart model

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9. 9 Alarm CRL L=5 CRL=3

10. 10 CRL=3 Alarm CRL L=5 Alarm ?

11. 11 Controling the Process Walter Andrew Shewhart Shewhart model

12. 12 Controling the Process Shewhart model

13. 13 Controling the Process Shewhart model

14. 14 CRL=3 The Side Sensitive Synthetic Chart No alarm

15. Figure 4: SSARLs for the Side Sensitive and Synthetic charts (  =0.5) 15

16. Figure 5: SSARLs for the Side Sensitive and Synthetic charts (  =1.0) 16

17. Figure 6: SSARLs for the Side Sensitive and Synthetic charts (  =1.5) 17

18. Figure 7: SSARLs for the Side Sensitive and Synthetic charts (  =2.0) 18

19. 19 Sample number 12345 Small sample Large sample w k -w -k Warning region Central region Action region The k and w values depend on the desired rate of false alarms and the in-control average sample size.

20. 20 ZiZi -k -k k wc wc -w -w w 1 Action region 0 0w0w 1 0c0c Large Sample Action region Upper warning region-two Lower warning region-two Central region Upper warning region-one Lower warning region-one Large Sample Small Sample Sample number 0w 0w Conforming Sample Nonconforming Sample

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22. 22 The SSARL values (L=3, k=3.5, ARL 0 =370.4)

23. 23 The SSARL values (L=3, k=3.5, ARL 0 =700.0)

24. 24 Thanks a lot for your attention.