A Control Chart for Exponentially Distributed Characteristics Using Modified Multiple Dependent State Sampling

Table 8

The ARL and SDRL comparison of the proposed chart with the MDS chart at  = 500 with the value varying from 2 to 6.

	MMDS		MDS		MMDS		MDS		MMDS		MDS		MMDS		MDS		MMDS		MDS
	2				3				4				5				6
	2.92776		3.09800		2.88286		3.05617		2.84840		2.93402		2.86525		3.15044		2.93012		3.15310
	1.69567		2.13929		1.90976		2.21263		2.09168		2.31140		2.09376		2.26863		2.03635		2.29419
	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL
1	500.04	499.54	500.00	499.39	500.00	499.50	500.00	499.50	499.99	499.49	500.01	499.51	499.99	499.49	500.01	499.50	500.06	499.59	500.04	499.54
0.90	292.08	291.58	309.62	309.12	285.90	285.40	300.82	300.32	286.47	285.97	290.69	290.19	283.00	282.50	300.60	300.10	278.35	277.85	297.97	297.47
0.80	157.62	157.12	172.79	172.29	151.64	151.14	163.89	163.39	152.41	151.91	155.61	155.11	148.41	147.91	161.70	161.20	142.59	142.09	158.83	158.33
0.70	80.74	80.24	89.70	89.20	76.62	76.12	83.60	83.10	77.27	76.77	79.12	78.62	74.03	73.53	80.75	80.25	69.19	68.69	78.69	78.19
0.60	40.05	39.54	44.59	44.09	37.59	37.08	41.11	40.61	38.00	37.50	39.15	38.64	35.82	35.32	38.80	38.29	32.60	32.10	37.60	37.10
0.50	19.53	19.03	21.75	21.24	18.19	17.68	19.97	19.46	18.42	17.91	19.24	18.73	17.15	16.64	18.52	18.01	15.33	14.82	17.93	17.42
0.40	9.52	9.00	10.62	10.11	8.85	8.34	9.80	9.28	8.98	8.47	9.58	9.07	8.34	7.82	9.05	8.54	7.45	6.93	8.81	8.30
0.30	4.73	4.20	5.31	4.78	4.45	3.92	4.97	4.45	4.54	4.01	4.96	4.43	4.28	3.74	4.68	4.15	3.90	3.36	4.61	4.08
0.20	2.48	1.92	2.78	2.23	2.41	1.84	2.69	2.13	2.49	1.92	2.73	2.17	2.41	1.84	2.62	2.06	2.29	1.71	2.62	2.06
0.10	1.45	0.81	1.58	0.96	1.47	0.83	1.58	0.96	1.52	0.89	1.62	1.00	1.51	0.88	1.59	0.97	1.49	0.85	1.60	0.98