00170 T3e60c0b7a0adbf4a4552dbad326e94

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Economic Control Chart Models with Cycle Duration Constraints

Table 3A. Control Chart Parameters and Moments of T_oat for p-Chart Examples

Control Chart    Distribution of Tout

Parameters

Example Source	Constraint	• n	R* h*	PO.95	Pout	er out
1 Lorenzen and	Nonę	1	1 0.38	10.46	4.01	3.28
Vance(1986)	p095^6	15	2 1.17	6.01	2.51	1.81
	pO.95^5	18	2 1.17	4.98	2.41	1.47
	P0.95^4	19	2 0.86	4.00	1.73	1.17
	po.95^5	16	2 1.06	5.00	2.22	1.44
	Po.95^5	17	2 1.18	5.01	2.25	1.42
	Po.95^5	16	2 1.08	4.98	2.25	1.40
2 Chiu (1975)	Nonę	77	5 1.55	2.77	1.26	0.72
	P0.95^2	87	5 1.34	2.00	1.05	0.58
	pO.95^1-5	90	5 0.91	1.50	0.80	0.30
3 Duncan (1978)	Nonę	12	1 23.65	86.79	31.32	27.22
Table 1 Ex. 12	PO.95^60	14	1 19.42	59.69	23.05	19.21
	P0.95<50	14	1 16.05	50.11	19.35	15.89
4 Duncan (1978)	Nonę	28	2 7.70	35.22	13.38	10.98
Table 1 Ex. 31	pO.95^20	35	2 5.76	20.02	8.30	5.99
5 Gibra (1978) Ex. 2	Nonę	36	2 1.39	6.28	3.07	1.70
po.95^5.5 39			2 0.47	5.51	2.48	1.56
		Moments: Components of Tout
Example Source	Pi	CTi	P2	02	B_	<r3
1 Lorenzen and	0.19	0.01	2.98	3.17	0.83	0.83
Vance (1986)	0.59	0.34	1.09	1.57	0.83	0.83
	0.59	0.34	0.72	1.17	0.83	0.83
	0.43	0.25	0.46	0.78	0.83	0.83
	0.53	0.31	0.85	1.28	0.83	0.59
	0.59	0.35	0.83	1.29	0.83	0.48
	0.54	0.31	0.87	1.30	0.83	0.42
2 Chiu (1975)	0.78	0.39	0.18	0.56	0.30	0.21
	0.67	0.42	0.08	0.34	0.30	0.21
	0.46	0.01	0.04	0.21	0.30	0.21
3 Duncan (1978)	12.29	6.82	17.03	26.32	2.00	1.41
Table 1 Ex. 12	10.02	5.60	11.02	18.32	2.00	1.41
	8.24	4.63	9.11	15.14	2.00	1.41
4 Duncan (1978)	3.90	2.23	7.48	10.66	2.00	1.41
Table 1 Ex. 31	2.91	1.67	3.40	5.58	2.00	1.41
5 Gibra (1978) Ex. 2	0.70	0.44	0.18	0.53	2.00	1.56
	0.24	0.01	0.05	0.15	2.00	1.56