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

Table 1

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

	0.25		0.50		0.75		0.90		0.95
	1.688		1.69		1.695		1.7026		1.705
0.5	3.41	1.02	3.28	1.14	2.71	1.29	1.93	1.08	1.54	0.82
0.6	4.69	1.90	4.48	1.93	3.58	1.87	2.38	1.43	1.79	1.05
0.7	7.28	3.80	6.91	3.69	5.41	3.14	3.32	2.15	2.31	1.51
0.8	13.67	8.88	13.02	8.58	10.12	6.82	5.90	4.16	3.73	2.69
0.9	38.48	32.49	36.60	30.96	28.83	24.02	17.10	13.80	10.54	8.47
1.0	200.63	237.56	200.24	238.26	200.61	239.81	200.47	243.01	200.86	244.70
1.1	33.98	35.79	32.46	34.08	25.89	26.97	15.70	15.74	9.85	9.63
1.2	12.39	12.68	11.66	11.94	9.02	9.24	5.62	5.51	3.62	3.31
1.3	6.73	6.86	6.47	6.57	5.02	5.01	3.18	2.90	2.19	1.77
1.4	4.39	4.39	4.19	4.15	3.35	3.16	2.22	1.85	1.67	1.15
1.5	3.20	3.05	3.10	2.93	2.54	2.26	1.77	1.29	1.41	0.82
1.6	2.54	2.29	2.45	2.20	2.06	1.70	1.52	0.99	1.29	0.64
1.7	2.10	1.75	2.03	1.68	1.78	1.35	1.37	0.78	1.19	0.50
1.8	1.85	1.43	1.78	1.35	1.57	1.07	1.28	0.64	1.15	0.43
1.9	1.65	1.19	1.61	1.13	1.44	0.90	1.21	0.54	1.12	0.37
2.0	1.52	1.01	1.49	0.95	1.36	0.79	1.17	0.47	1.09	0.31
	1.820		1.8249		1.8344		1.8416		1.8418
0.5	3.885	1.032	3.717	1.183	3.040	1.385	2.102	1.168	1.635	0.896
0.6	5.265	1.917	5.046	1.976	4.025	1.964	2.604	1.524	1.914	1.129
0.7	8.083	3.819	7.679	3.742	6.018	3.239	3.649	2.257	2.511	1.603
0.8	15.005	8.964	14.389	8.633	11.073	6.894	6.490	4.264	4.082	2.801
0.9	42.482	34.768	40.294	32.985	31.962	25.478	18.565	14.202	11.323	8.625
1.0	200.27	226.37	200.23	227.38	200.24	227.47	200.27	226.37	200.96	231.61
1.1	35.302	36.257	33.737	34.720	26.894	27.012	35.302	36.257	10.437	9.720
1.2	12.822	12.651	12.198	12.004	9.484	9.208	12.822	12.651	3.822	3.362
1.3	6.991	6.860	6.679	6.563	5.296	5.067	6.991	6.860	2.305	1.851
1.4	4.584	4.408	4.371	4.208	3.522	3.225	4.584	4.408	1.719	1.185
1.5	3.321	3.099	3.220	2.973	2.661	2.339	3.321	3.099	1.470	0.875
1.6	2.614	2.296	2.530	2.203	2.143	1.750	2.614	2.296	1.309	0.666
1.7	2.197	1.820	2.121	1.737	1.828	1.378	2.197	1.820	1.219	0.542
1.8	1.896	1.467	1.844	1.390	1.617	1.107	1.896	1.467	1.167	0.456
1.9	1.700	1.236	1.656	1.169	1.485	0.963	1.700	1.236	1.125	0.386
2.0	1.558	1.049	1.525	1.013	1.385	0.786	1.558	1.049	1.095	0.327
	1.952		1.957		1.967		1.974		1.976
0.5	4.28	1.04	4.10	1.20	3.32	1.45	2.25	1.24	1.72	0.95
0.6	5.76	1.91	5.51	1.98	4.37	2.01	2.79	1.60	2.02	1.19
0.7	8.71	3.78	8.32	3.73	6.48	3.26	3.91	2.30	2.65	1.67
0.8	16.07	9.21	15.34	8.84	11.86	7.00	6.86	4.32	4.34	2.86
0.9	46.50	37.50	44.09	35.31	34.43	26.73	19.66	14.59	11.95	8.67
1.0	200.14	219.48	200.21	221.63	200.88	222.76	200.44	223.97	200.44	224.89
1.1	35.45	35.95	34.02	34.52	27.48	27.18	16.87	15.88	10.72	9.69
1.2	12.89	12.51	12.41	11.87	9.60	9.02	6.09	5.46	3.96	3.36
1.3	7.08	6.73	6.74	6.40	5.38	4.98	3.43	2.99	2.38	1.87
1.4	4.66	4.34	4.48	4.14	3.65	3.26	2.40	1.91	1.77	1.21
1.5	3.40	3.07	3.27	2.93	2.71	2.31	1.89	1.39	1.50	0.90
1.6	2.67	2.28	2.61	2.22	2.20	1.77	1.61	1.04	1.34	0.69
1.7	2.25	1.83	2.17	1.73	1.86	1.38	1.43	0.84	1.24	0.57
1.8	1.94	1.48	1.89	1.42	1.67	1.16	1.33	0.71	1.18	0.48
1.9	1.73	1.24	1.69	1.18	1.51	0.95	1.24	0.58	1.14	0.40
2.0	1.59	1.07	1.55	1.02	1.40	0.81	1.20	0.51	1.10	0.34
	1.8211		1.8255		1.835		1.8406		1.8405
0.5	3.89	1.03	3.72	1.18	3.04	1.38	2.10	1.17	1.63	0.89
0.6	5.27	1.92	5.05	1.98	4.03	1.96	2.60	1.52	1.91	1.13
0.7	8.09	3.82	7.68	3.75	6.02	3.24	3.65	2.26	2.51	1.60
0.8	15.03	8.98	14.40	8.63	11.08	6.90	6.48	4.26	4.08	2.80
0.9	42.62	34.84	40.34	32.99	31.97	25.48	18.54	14.18	11.32	8.62
1.0	200.88	227.13	200.82	227.99	200.73	228.04	200.16	228.14	200.20	230.48
1.1	35.34	36.33	33.68	34.69	26.92	27.17	16.52	15.88	10.44	9.70
1.2	12.82	12.65	12.28	12.08	9.46	9.19	5.89	5.52	3.84	3.39
1.3	6.99	6.86	6.63	6.50	5.27	5.06	3.36	3.01	2.29	1.83
1.4	4.58	4.41	4.40	4.21	3.53	3.25	2.34	1.90	1.72	1.19
1.5	3.33	3.12	3.21	2.96	2.65	2.31	1.83	1.34	1.46	0.86
1.6	2.60	2.27	2.53	2.21	2.15	1.76	1.57	1.04	1.32	0.68
1.7	2.19	1.82	2.12	1.72	1.82	1.37	1.41	0.81	1.21	0.53
1.8	1.91	1.48	1.85	1.39	1.62	1.12	1.30	0.68	1.17	0.46
1.9	1.70	1.23	1.65	1.17	1.49	0.95	1.23	0.58	1.13	0.39
2.0	1.56	1.06	1.53	1.01	1.39	0.80	1.18	0.49	1.10	0.33
	1.9664		1.970		1.983		1.991		1.993
0.5	4.39	1.07	4.21	1.22	3.40	1.49	2.29	1.27	1.74	0.97
0.6	5.92	1.95	5.66	2.03	4.50	2.07	2.85	1.64	2.05	1.22
0.7	8.99	3.90	8.54	3.81	6.68	3.35	4.00	2.37	2.71	1.71
0.8	16.61	9.46	15.82	9.12	12.30	7.20	7.05	4.42	4.46	2.94
0.9	49.77	41.40	47.20	38.75	36.24	29.01	20.42	15.29	12.32	8.91
1.0	200.09	216.15	200.79	217.67	200.16	219.18	200.52	222.13	200.92	222.16
1.1	36.67	37.22	35.09	35.41	28.48	28.08	17.53	16.34	11.09	9.93
1.2	13.39	12.79	12.77	12.15	9.96	9.28	6.29	5.65	4.05	3.44
1.3	7.26	6.89	6.94	6.58	5.54	5.12	3.52	3.06	2.41	1.92
1.4	4.77	4.45	4.60	4.25	3.74	3.37	2.41	1.95	1.80	1.26
1.5	3.44	3.11	3.33	3.02	2.76	2.38	1.91	1.41	1.51	0.91
1.6	2.74	2.38	2.62	2.25	2.22	1.80	1.62	1.07	1.34	0.71
1.7	2.27	1.85	2.21	1.79	1.89	1.42	1.44	0.86	1.25	0.57
1.8	1.97	1.54	1.90	1.45	1.68	1.16	1.33	0.70	1.18	0.48
1.9	1.75	1.27	1.70	1.21	1.52	0.97	1.25	0.60	1.14	0.40
2.0	1.60	1.08	1.57	1.05	1.42	0.84	1.21	0.52	1.10	0.35
	2.1109		2.1141		2.1314		2.1434		2.1448
0.5	4.85	1.07	4.63	1.24	3.73	1.54	2.47	1.35	1.84	1.03
0.6	6.47	1.95	6.18	2.04	4.89	2.12	3.09	1.72	2.18	1.28
0.7	9.77	4.01	9.30	3.91	7.22	3.44	4.32	2.44	2.90	1.78
0.8	18.52	10.70	17.56	10.16	13.44	7.79	7.61	4.58	4.77	3.02
0.9	59.98	51.39	56.54	48.38	42.42	34.99	22.71	17.22	13.31	9.49
1.0	200.38	211.05	200.91	213.68	200.81	214.91	200.98	216.49	200.08	215.61
1.1	36.92	37.45	35.65	35.57	29.35	28.81	18.23	16.76	11.59	10.12
1.2	13.59	12.82	13.02	12.25	10.25	9.36	6.51	5.65	4.23	3.46
1.3	7.42	6.84	7.05	6.52	5.69	5.06	3.63	3.04	2.50	1.94
1.4	4.85	4.38	4.68	4.18	3.82	3.34	2.51	1.98	1.86	1.28
1.5	3.53	3.07	3.42	2.99	2.84	2.39	1.97	1.43	1.55	0.94
1.6	2.81	2.37	2.70	2.25	2.29	1.82	1.66	1.10	1.37	0.74
1.7	2.33	1.87	2.26	1.79	1.95	1.45	1.47	0.86	1.27	0.60
1.8	2.03	1.56	1.95	1.46	1.72	1.18	1.37	0.74	1.20	0.50
1.9	1.80	1.30	1.76	1.25	1.57	1.01	1.28	0.62	1.14	0.41
2.0	1.64	1.10	1.60	1.06	1.43	0.84	1.21	0.53	1.12	0.37