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

Table 1

The ARL and SDRL values of the proposed chart at  = 200 with the value varying from 2 to 10.

	2		3		4		5		6		7		8		9		10
	2.65298		2.83972		3.01942		2.98755		3.11139		3.12916		2.76820		3.16861		2.71363
	1.80389		1.64421		1.68708		1.76101		1.79793		1.83897		1.97868		1.90199		2.09203
	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL	ARL	SDRL
1	199.99	199.49	200.00	199.50	200.01	199.51	200.00	199.50	200.00	199.50	200.01	199.51	200.01	199.51	200.02	199.52	200.02	199.51
0.90	133.16	132.66	130.57	130.07	132.51	132.01	129.58	129.08	130.73	130.23	129.59	129.09	124.71	124.21	127.92	127.42	125.92	125.42
0.80	81.26	80.76	77.72	77.22	79.24	78.74	75.79	75.29	76.56	76.06	75.08	74.58	70.76	70.26	72.90	72.40	72.10	71.60
0.70	46.69	46.19	43.26	42.76	43.76	43.26	41.09	40.59	41.24	40.74	40.01	39.51	37.75	37.25	38.23	37.73	38.80	38.29
0.60	25.84	25.34	23.10	22.59	22.96	22.45	21.31	20.80	21.14	20.64	20.36	19.85	19.59	19.08	19.25	18.75	20.30	19.79
0.50	14.01	13.50	12.11	11.60	11.79	11.28	10.93	10.41	10.72	10.21	10.32	9.80	10.24	9.73	9.77	9.26	10.71	10.20
0.40	7.56	7.05	6.40	5.88	6.13	5.61	5.74	5.22	5.62	5.09	5.45	4.92	5.60	5.08	5.25	4.73	5.92	5.40
0.30	4.14	3.60	3.51	2.96	3.36	2.81	3.22	2.68	3.17	2.63	3.14	2.59	3.32	2.77	3.12	2.57	3.54	3.00
0.20	2.36	1.79	2.07	1.49	2.02	1.43	2.00	1.42	2.00	1.42	2.02	1.43	2.15	1.57	2.06	1.47	2.27	1.70
0.10	1.45	0.81	1.37	0.71	1.37	0.71	1.38	0.73	1.39	0.74	1.41	0.76	1.46	0.82	1.43	0.79	1.51	0.87