Efficient Auxiliary Information–Based Control Charting Schemes for the Process Dispersion with Application of Glass Manufacturing Industry

Table 6

Run-length profile of two-sided control chart at .

	0.25		0.50		0.75		0.90		0.95
	1.981		1.979		1.976		1.976		1.975
0.5	2.54	1.35	2.43	1.28	1.96	0.99	1.31	0.56	1.08	0.30
0.6	4.00	2.38	3.82	2.28	3.04	1.79	1.84	1.02	1.30	0.59
0.7	6.90	4.52	6.64	4.35	5.22	3.41	3.09	1.97	1.95	1.17
0.8	14.19	10.52	13.56	9.92	10.80	7.79	6.35	4.46	3.90	2.71
0.9	43.75	39.67	42.27	38.00	33.88	29.87	20.58	16.69	12.66	9.78
1.0	199.35	221.60	199.09	223.38	200.28	224.53	199.48	224.77	200.84	224.97
1.1	41.04	40.65	39.16	39.01	31.94	30.98	20.11	18.39	12.91	11.33
1.2	15.27	13.98	14.60	13.42	11.47	10.35	7.11	6.20	4.48	3.70
1.3	8.41	7.54	8.04	7.20	6.48	5.68	3.88	3.27	2.53	1.98
1.4	5.51	4.82	5.31	4.64	4.22	3.69	2.62	2.10	1.79	1.26
1.5	4.10	3.53	3.90	3.35	3.15	2.66	2.00	1.48	1.46	0.87
1.6	3.17	2.70	3.08	2.58	2.52	2.03	1.66	1.11	1.27	0.61
1.7	2.65	2.16	2.54	2.07	2.08	1.58	1.46	0.88	1.18	0.49
1.8	2.26	1.77	2.17	1.69	1.83	1.31	1.34	0.72	1.12	0.39
1.9	1.98	1.47	1.93	1.43	1.62	1.07	1.24	0.58	1.08	0.32
2.0	1.80	1.27	1.74	1.23	1.50	0.93	1.18	0.50	1.06	0.27
	2.1398		2.139		2.1411		2.143		2.140
0.5	2.83	1.41	2.71	1.37	2.18	1.07	1.40	0.63	1.11	0.34
0.6	4.44	2.47	4.25	2.37	3.38	1.89	2.02	1.10	1.39	0.65
0.7	7.63	4.72	7.30	4.52	5.78	3.55	3.43	2.07	2.14	1.25
0.8	15.86	11.57	15.15	11.03	11.93	8.29	7.01	4.64	4.30	2.80
0.9	51.91	47.75	49.62	45.61	39.73	36.01	23.21	18.96	14.06	10.57
1.0	200.01	211.54	201.23	214.87	201.02	214.16	200.84	213.71	200.19	212.79
1.1	46.05	45.43	44.02	43.35	35.99	34.47	22.62	20.18	14.17	11.92
1.2	16.65	14.82	15.93	14.11	12.77	11.00	7.80	6.32	4.91	3.88
1.3	9.05	7.66	8.66	7.32	6.98	5.85	4.23	3.35	2.75	2.09
1.4	5.98	5.02	5.76	4.83	4.61	3.77	2.83	2.20	1.92	1.33
1.5	4.40	3.64	4.20	3.47	3.40	2.75	2.16	1.58	1.53	0.93
1.6	3.43	2.77	3.30	2.66	2.68	2.08	1.77	1.20	1.33	0.69
1.7	2.81	2.22	2.72	2.12	2.23	1.67	1.52	0.91	1.22	0.53
1.8	2.40	1.85	2.30	1.75	1.93	1.38	1.40	0.78	1.14	0.42
1.9	2.11	1.56	2.04	1.50	1.73	1.17	1.28	0.64	1.11	0.36
2.0	1.89	1.32	1.83	1.27	1.57	1.00	1.22	0.55	1.07	0.29
	2.296		2.291		2.298		2.299		2.300
0.5	3.10	1.46	2.96	1.40	2.38	1.12	1.50	0.69	1.14	0.38
0.6	4.81	2.55	4.62	2.45	3.68	1.93	2.21	1.15	1.48	0.71
0.7	8.32	5.11	7.91	4.80	6.28	3.71	3.71	2.12	2.32	1.30
0.8	18.08	13.93	17.19	13.16	13.37	9.60	7.61	4.90	4.64	2.86
0.9	62.07	59.03	59.06	55.68	47.20	43.63	26.75	22.91	15.69	12.21
1.0	201.81	209.14	200.42	207.02	200.66	206.57	200.99	208.57	200.93	207.67
1.1	51.25	50.32	48.77	47.68	40.62	39.23	25.23	22.83	15.49	13.01
1.2	17.92	15.93	17.12	15.13	13.79	11.70	8.21	6.49	5.28	3.96
1.3	9.62	8.02	9.18	7.59	7.40	5.94	4.53	3.46	2.92	2.11
1.4	6.29	5.00	6.01	4.83	4.88	3.84	3.04	2.26	2.02	1.37
1.5	4.60	3.62	4.42	3.45	3.59	2.74	2.28	1.63	1.60	0.96
1.6	3.61	2.77	3.47	2.69	2.85	2.15	1.86	1.23	1.36	0.72
1.7	2.97	2.27	2.83	2.15	2.35	1.73	1.58	0.97	1.25	0.57
1.8	2.52	1.88	2.43	1.78	2.02	1.41	1.43	0.81	1.17	0.45
1.9	2.22	1.61	2.14	1.53	1.80	1.20	1.32	0.67	1.12	0.37
2.0	1.99	1.39	1.91	1.30	1.63	1.04	1.25	0.58	1.08	0.31
	2.0559		2.053		2.0494		2.054		2.050
0.5	2.64	1.35	2.53	1.29	2.04	1.01	1.35	0.59	1.09	0.31
0.6	4.13	2.36	3.94	2.27	3.14	1.78	1.91	1.03	1.34	0.61
0.7	7.07	4.51	6.78	4.31	5.37	3.39	3.19	1.96	2.02	1.19
0.8	14.51	10.59	13.85	10.07	11.01	7.82	6.51	4.45	4.00	2.68
0.9	45.04	40.67	43.11	38.78	34.73	30.36	21.02	16.87	12.90	9.83
1.0	199.79	218.86	199.43	221.28	199.94	222.28	200.74	222.87	200.18	220.75
1.1	41.57	41.16	39.80	39.20	32.62	31.17	20.46	18.53	13.00	11.23
1.2	15.40	13.95	14.68	13.24	11.60	10.25	7.26	6.13	4.54	3.70
1.3	8.46	7.36	8.12	7.13	6.53	5.60	3.92	3.20	2.58	1.96
1.4	5.60	4.79	5.37	4.58	4.30	3.66	2.67	2.07	1.82	1.24
1.5	4.13	3.48	3.94	3.28	3.19	2.60	2.04	1.48	1.48	0.88
1.6	3.23	2.66	3.12	2.57	2.54	2.01	1.71	1.14	1.30	0.65
1.7	2.68	2.13	2.57	2.03	2.12	1.58	1.49	0.89	1.20	0.51
1.8	2.28	1.72	2.21	1.68	1.85	1.29	1.35	0.72	1.13	0.40
1.9	2.03	1.48	1.96	1.42	1.65	1.08	1.26	0.60	1.09	0.32
2.0	1.82	1.26	1.77	1.20	1.53	0.94	1.19	0.50	1.07	0.28
	2.2257		2.2249		2.2259		2.229		2.227
0.5	2.95	1.42	2.82	1.37	2.27	1.09	1.45	0.65	1.13	0.36
0.6	4.61	2.49	4.41	2.38	3.52	1.89	2.12	1.11	1.43	0.68
0.7	7.89	4.82	7.58	4.59	5.97	3.58	3.55	2.07	2.23	1.27
0.8	16.54	12.17	15.78	11.53	12.39	8.59	7.26	4.68	4.45	2.80
0.9	54.50	50.34	52.26	48.19	41.77	37.88	24.31	19.86	14.53	10.87
1.0	201.41	210.44	201.39	212.49	200.98	212.26	200.85	211.46	200.24	211.49
1.1	47.32	46.50	45.24	44.29	37.20	35.37	23.30	20.66	14.51	12.11
1.2	16.93	14.92	16.28	14.27	13.03	11.06	7.92	6.27	5.03	3.86
1.3	9.21	7.69	8.80	7.29	7.11	5.84	4.32	3.32	2.81	2.06
1.4	6.06	4.95	5.81	4.75	4.70	3.74	2.92	2.20	1.97	1.34
1.5	4.45	3.56	4.29	3.43	3.45	2.68	2.20	1.55	1.57	0.94
1.6	3.48	2.75	3.35	2.63	2.74	2.07	1.80	1.19	1.34	0.69
1.7	2.86	2.21	2.77	2.10	2.29	1.67	1.57	0.95	1.23	0.54
1.8	2.45	1.82	2.37	1.77	1.98	1.40	1.41	0.79	1.16	0.44
1.9	2.16	1.56	2.08	1.49	1.76	1.18	1.31	0.66	1.11	0.36
2.0	1.93	1.33	1.85	1.26	1.60	1.00	1.23	0.56	1.08	0.29
	2.385		2.3846		2.384		2.387		2.390
0.5	3.23	1.47	3.09	1.42	2.48	1.13	1.56	0.71	1.17	0.41
0.6	5.02	2.62	4.82	2.51	3.83	1.94	2.30	1.16	1.53	0.73
0.7	8.77	5.47	8.39	5.20	6.57	3.89	3.85	2.14	2.42	1.31
0.8	19.85	15.88	18.81	14.89	14.41	10.68	7.96	5.18	4.81	2.90
0.9	68.78	66.02	65.77	62.46	51.46	48.22	29.09	25.55	16.86	13.40
1.0	200.80	203.89	201.46	206.61	199.45	205.70	200.61	206.90	200.52	205.12
1.1	53.99	53.31	51.92	50.83	42.88	41.36	26.79	24.45	16.38	13.96
1.2	18.74	16.79	18.00	15.98	14.39	12.24	8.59	6.75	5.37	3.97
1.3	9.87	8.26	9.47	7.83	7.60	6.05	4.64	3.45	3.01	2.11
1.4	6.42	5.03	6.15	4.84	4.94	3.83	3.09	2.25	2.08	1.37
1.5	4.69	3.60	4.51	3.46	3.68	2.75	2.33	1.60	1.63	0.96
1.6	3.69	2.80	3.52	2.63	2.89	2.13	1.89	1.22	1.40	0.74
1.7	3.01	2.26	2.92	2.16	2.40	1.70	1.64	1.00	1.26	0.57
1.8	2.60	1.88	2.47	1.78	2.08	1.43	1.46	0.81	1.18	0.46
1.9	2.27	1.60	2.19	1.55	1.83	1.21	1.35	0.69	1.13	0.39
2.0	2.03	1.39	1.96	1.32	1.66	1.02	1.26	0.58	1.09	0.32