Control Charts for Individuals：对个人的控制图.pptVIP

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Control Charts for Individuals：对个人的控制图.ppt

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Control Charts for Individuals：对个人的控制图

IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * Given: L = 2.7, s = 1, l = 0.1 Solution Obs i xi EWMA zi = lxi + (1- l)zi-1 1 9.45 z1 = (0.1)(9.45) +(0.9)(10) = 9.945 2 7.99 z2 = (0.1)(7.99) +(0.9)(9.945) = 9.7495 3 9.29 z3 = (0.1)(9.29) +(0.9)(9.7495) = 9.70355 … … … 30 10.52 z30 = 10.6341 IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * As i? ? the control limits converge to For our example, that is: IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * Parameters: m1 = m0 + ds = 10 + (1)(1) = 11 K = d/2 = ? = 0.5 H = 5s = (5)(1) = 5 Counters N+ and N- N+ records the number of consecutive periods since the upper-side cusum Ci+ rose above the value of zero N- records the number of consecutive periods since the lower-side cusum Ci- rose above the value of zero IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * The upper-side cusum at period 29 is C29+ = 5.28 Since this is the first period at which Ci+ H =5, we would conclude that the process is out of control at that point Since N+ = 7 at period 29, we would conclude that the process was last in control at period 29-7=22, so the shift likely occurred between periods 22 and 23 IE 355: Quality and Applied Statistics I (c) 2002 D.H. Jensen * New process average estimate