00176 Ïf7e187e189112aea61733f49621f5e

177

Economic Control Chart Models with Cycle Duration Constraints

Table 5A. Effect of Adding the Constraint a ^ 0.01 to Example 6: Control Chart Parameters and Moments of Tout

Constraints		Control Chart Parameters			Distribution of Tout
Tout	a	n	R	h’	PO.95	Mout	(Tout
NonÄ™	NonÄ™	45	2.02	37.61	60.03	25.75	16.58
NonÄ™	a <, 0.01	61	2.58	40.00	64.06	27.38	17.68
PO.95 — 50	Nonę	49	2.04	35.00	49.98	23.24	14.36
Po.95 ^ 50	a ^ 0.01	67	2.58	37.54	49.83	24.45	14.87
P0.95 ^ 40	NonÄ™	52	2.04	32.00	39.75	20.85	12.44
PO.95 ^ 40	a 10.01	71	2.58	35.47	39.99	22.68	13.31
PO.95 — 30	Nonę	57	2.05	26.90	29.88	17.24	9.77
PO 95 ^ 30	a < 0.01	73	2.58	26.61	29.95	17.14	9.78
PO.95 ^ 20	NonÄ™	61	2.10	17.14	19.99	11.45	6.14
PO.95 ^ 20	a < 0.01	76	2.58	17.00	19.97	11.40	6.14
PO.95 ^ 10	NonÄ™	68	2.15	6.78	9.99	5.60	2.64
Po.95 ^ 10 a <0.01		82	2.58	6.74	9.99	5.58	2.65
Constraints			Moments: Components of Tout
Tout	a	Pi	(Tl	P2	(T2	J43_	(T3
NonÄ™	NonÄ™	19.98	10.82	3.77	12.49	2.00	1.41
NonÄ™	a <; 0.01	21.33	11.50	4.05	13.35	2.00	1.41
Po.95 — 50	Nonę	18.52	10.07	2.72	10.13	2.00	1.41
Po.95 — 50	a < 0.01	19.86	10.76	2.59	10.17	2.00	1.41
PO.95 ^ 40	NonÄ™	16.85	9.21	2.00	8.24	2.00	1.41
PO.95 ^ 40	a <0.01	18.78	10.21	1.90	8.42	2.00	1.41
Po.95 ^ 30	NonÄ™	14.05	7.75	1.19	5.78	2.00	1.41
PO.95 ^ 30	a < 0.01	13.89	7.67	1.25	5.91	2.00	1.41
PO.95 ^ 20	NonÄ™	8.82	4.95	0.63	3.35	2.00	1.41
PO 95 ^ 20	a ^ 0.01	8.74	4.90	0.66	3.41	2.00	1.41
Po.95 — 10	Nonę	3.43	1.95	0.17	1.08	2.00	1.41
PO.95 — 10	a < 0.01	3.41	1.95	0.18	1.10	2.00	1.41