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Economic Contro! Chart Models with Cycle Duration Constraints 173

Table 4A. Cost Breakdowns and Related Information for p-Chart Eiamples

C on troi Chart Param eters

Example Source	Constraint	r	e	n* R*	h*	a	P
1 Lorenzen and	Nonę	1	1.20	1 1	0.38	0.014	0.113
Vance(1986)	P0.95^6	1	1.20	15 2	1.17	0.017	0.518
	Po.95^5	1	1.20	18 2	1.17	0.024	0.620
	Po.95—4	1	1.20	19 2	0.86	0.027	0.650
	Po.95—^	2	2.40	16 2	1.06	0.020	0.554
	Po.95^5	3	3.60	17 2	1.18	0.022	0.588
	Po.95^5	4	4.80	16 2	1.08	0.020	0.554
2 Chiu (1975)	Nonę	2	6.67	77 5	1.55	0.006	0.894
	PO.95^2.0	2	6.67	87 5	1.34	0.010	0.943
	Po.93^1-5	2	6.67	90 5	0.91	0.012	0.953
3 Duncan (1978)	Nonę	2	1.00	12 1	23.65	0.460	0.581
Table 1 Ex. 12	PO.93^60	2	1.00	14 1	19.42	0.512	0.638
	PO.93^50	2	1.00	14 1	16.05	0.512	0.638
4 Duncan (1978)	Nonę	2	1.00	28 2	7.70	0.032	0.507
Table 1 Ex. 31	P0 93<20	2	1.00	35 2	5.76	0.048	0.629
5 Gibra(1978) Ex. 2	Nonę	2	0.91	36 2	1.39	0.162	0.887
Po«<5.5		2	0.91	39 2	0.47	0.183	0.912
				Cost Breakdown*
Example Source	ECL	% Time In-Control COST1			COST	COS	Total
					2	T3	Cost
1 Lorenzen and	54.09		92.44	164.20	50.28	10.95	225.44
Vance(1986)	53.76		93.01	159.37	31.44	53.35	244.26
	53.64		93.22	157.61	37.07	64.02	258.70
	53.31		93.79	152.76	47.00	91.92	291.68
	53.55		93.37	156.33	34.91	62.81	254.05
	53.67		93.16	158.07	34.96	59.95	252.98
	53.58		93.32	156.72	34.58	61.64	252.94
2 Chiu (1975)	101.30		98.72	0.95	0.84	0.82	2.60
	101.13		98.89	0.74	0.93	1.02	2.69
	100.93		99.08	0.50	1.06	1.53	3.09
3 Duncan (1978)	131.92		75.80	4.84	0.42	2.96	8.22
Table 1 Ex. 12	123.75		80.81	3.84	0.58	4.12	8.54
	120.05		83.30	3.34	0.72	4.98	9.04
4 Duncan (1978)	114.78		87.12	12.88	7.82	4.29	24.99
Table 1 Ex. 31	110.05		90.87	9.13	11.88	6.94	27.96
5 Gibra (1978) Ex. 2	85.10		94.01	2.48	1.42	1.62	5.52
	88.89		89.99	1.07	2.59	4.60	8.27

^a COST1: Hourly cost due to production of nonconforming items. COST2: Hourly cost due to false alarms and assignable causes. COST3: Hourly cost due to sampling.