00173 ¢14f0ea684702d6f4dd2ad20aa6ce08

174

McWilliams

Table 4B. Cost Breakdowns and Related Information for X -Chart Eiamples

Contro! Chart Parameters

Example Source	Constraint	r	e	n* R*	h*	a	P
6 Duncan (1956)	NonÄ™	2	1.00	45 2.02	37.61	0.043	0.909
Ex. 24	PO.95^50	2	1.00	49 2.04	35.00	0.041	0.928
	PO.95^40	2	1.00	52 2.04	32.00	0.041	0.941
	PO.95^30	2	1.00	57 2.05	26.90	0.040	0.958
	Po.95^20	2	1.00	61 2.10	17.14	0.036	0.964
	Po.93—10	2	1.00	68 2.15	6.78	0.032	0.976
7 Gibra(1971)	NonÄ™	2	5.00	5 2.89	0.66	0.004	0.943
Ex. 2	Po.9s^llO	2	5.00	5 2.82	0.43	0.005	0.951
(with additional costs)	PO 95^1-25	2	5.00	5 2.79	0.25	0.005	0.954
8 Gibra(1971)	Po.95^1-25	2	5.00	6 2.92	0.47	0.004	0.976
Ex. 2	Po.95^1-25	2	5.00	5 2.78	0.36	0.005	0.955
9 Gibra(1971)	Po.95^5	1	1.00	12 1.99	2.34	0.047	0.930
Ex. 4	Po.95^5	1	1.00	10 2.06	1.67	0.039	0.865
				Cost Breakdown*
Example Souece	ECL % Time In-Control			COST1 COST2 COST3 Total Cost
6 Duncan (1956)	128.00		78.12	0.49	0.23	0.25	0.98
Ex. 24	125.69		79.56	0.46	0.24	0.28	0.98
	123.45		81.01	0.43	0.25	0.32	0.99
	120.09		83.27	0.38	0.26	0.40	1.04
	114.50		87.34	0.28	0.30	0.65	1.23
	109.00		91.75	0.19	0.44	1.74	2.36
7 Gibra (1971)	20.77		96.29	3.34	2.04	1.39	6.77
Ex. 2	20.64		96.91	2.78	2.15	2.14	7.07
(with additional costs)	20.54		97.38	2.36	2.36	3.68	8.39
8 Gibra (1971)	20.65		96.86	0.00	0.14	2.17	2.31
Ex. 2	20.60		97.10	0.00	0.29	2.56	2.85
9 Gibra (1971)	12.39		80.70	0.00	0.71	3.46	4.17
Ex. 4	12.12		82.51	0.00	0.89	4.13	5.03

^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.