00203 [f0fbf39249292f066bcfbde851fda0

205

Strategies for Statistical Monitoring of Integral Control

1    51    101    151    201    251    301    351    401    451

Observation Number (t)

Table 2. Arerage Run Lengths for the Rules in Table 1

Shift	Prediction Error EWMA Signal Number Lambda = 0.4 with Tracking Signal (2 in a row)	CUSUM Signal Number for H = 5ct and K = la	CUSUM Signal Number for H = 5ct and K = 2a
1	71.632	8.5784	12.552
	(1.42571)	(1.04987)	(5.9139)
	*130 Did not Signal	*1592 Did not Signal	*1830 Did not Signal
2	65.889	6.390	13.583
	(1.56149)	(0.58694)	(7.68517)
	*114 Did not Signal	*1668 Did not Signal	* 1986 Did not Signal
5	41.671	2.153	77
	(2.01005)	(0.11104)	(3.71683)
	*80 Did not Signal	*1708 Did not Signal	*1986 Did not Signal
7.5	19.1988	2.1808	1
	(0.92604)	(0.84648)	(0)
	*39 Did not Signal	*1729 Did not Signal	* 1992 Did not Signal
10	5.608	1	1
	(0.46640)	(0)	(0)
*7 Did not Signal		*1741 Did not Signal	*1995 Did not Signal

Figurę 7. Control Actions for a Process Trend of 1 Unit per Period at Obseryation 251, PM_EPC/si»c ⁼ 89.973.