Robust design optimization of dynamic and static manufacturing processes using the stochastic frontier model

Open Access

Table 3

The layout of the simulated L18 designed experiment [20].

Run(DMUi)			Factors		Y_1er				Y_2er				Y_3er
					s = 0.1		s = 0.2		s = 0.1		s = 0.2		s = 0.1		s = 0.2
	x₁	x₂	x₃	x₄	r₁	r₂	r₁	r₂	r₁	r₂	r₁	r₂	r₁	r₂	r₁	r₂
1	1	1	1	1	7.80	8.13	14.22	14.92	0.98	1.09	1.63	1.42	15.00	16.56	32.24	41.81
2	1	2	2	2	8.63	7.53	17.01	16.52	1.02	1.05	2.22	1.73	16.00	16.30	42.91	29.17
3	1	3	3	3	8.12	7.28	16.65	15.84	1.05	0.94	2.17	2.15	23.00	23.29	40.63	48.37
4	2	1	1	2	8.18	8.07	18.29	15.92	0.68	0.72	1.46	1.50	25.00	15.98	37.74	41.75
5	2	2	2	3	7.04	7.58	13.11	16.53	1.14	1.23	2.64	2.27	18.00	14.40	23.80	44.36
6	2	3	3	1	8.32	9.79	16.80	14.74	1.00	0.96	2.49	1.97	26.00	10.28	40.45	30.69
7	3	1	2	1	8.02	8.30	14.46	15.42	1.22	1.20	2.29	2.39	28.00	19.68	40.57	50.66
8	3	2	3	2	6.36	8.24	18.23	17.48	0.73	0.86	1.43	2.13	12.00	26.70	31.01	32.74
9	3	3	1	3	5.93	8.65	16.51	13.43	1.12	0.91	1.92	1.77	17.00	19.78	49.92	28.39
10	1	1	3	3	8.56	8.88	17.57	19.17	0.80	0.75	1.45	1.62	21.00	28.16	39.08	47.59
11	1	2	1	1	7.61	9.85	17.34	16.31	0.92	1.23	2.55	2.54	20.00	16.24	43.19	28.68
12	1	3	2	2	7.88	8.07	16.89	12.55	1.08	1.05	2.28	2.22	18.00	11.38	46.14	22.51
13	2	1	2	3	8.73	6.82	18.22	15.64	0.95	0.99	2.00	2.00	26.00	22.32	64.67	40.40
14	2	2	3	1	7.97	9.72	16.72	11.98	1.17	1.14	1.95	2.35	16.00	23.16	24.82	44.13
15	2	3	1	2	9.16	8.77	16.72	15.86	0.85	0.79	1.42	1.75	14.00	12.88	40.57	33.27
16	3	1	3	2	9.32	8.71	14.86	15.67	1.05	1.10	2.01	2.26	22.00	15.90	51.58	43.90
17	3	2	1	3	8.32	6.91	16.03	14.10	0.80	0.85	2.07	1.99	23.00	20.34	42.91	32.95
18	3	3	2	1	8.71	6.37	14.87	18.74	1.14	0.98	1.92	1.58	19.00	12.43	37.70	38.89

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