Minimizing the Discrepancy between Simulated and Historical Failures in Turbine Engines: A Simulation-Based Optimization Method

Table 5

Comparison of the responses (before and after the optimization).

Component number	Historical percentage of failures	Before			After
		Simulated percentage of failure	Discrepancy	Squared error	Simulated percentage of failure	Discrepancy	Squared error
1	0.86	0.5211	−0.3389	0.1149	0.46	−0.4	0.1600
2	1.82	1.5673	−0.2527	0.0639	1.66	−0.16	0.0256
3	3.53	3.6	0.07	0.0049	3.76	0.23	0.0529
4	0.88	0.5947	−0.2853	0.0814	0.63	−0.25	0.0625
5	2.4	2.5271	0.1271	0.0162	2.37	−0.03	0.0009
6	1.31	1.2096	−0.1004	0.0101	1.22	−0.09	0.0081
7	0.76	0.6553	−0.1047	0.0110	0.78	0.02	0.0004
8	0.4	3.5392	3.1392	9.8546	3.04	2.64	6.9696
9	1.04	0.1024	−0.9376	0.8791	0.09	−0.95	0.9025
10	5.35	5.0636	−0.2864	0.0820	5.09	−0.26	0.0676
11	4.56	4.21	−0.35	0.1225	4.26	−0.3	0.0900
12	8.32	7.9168	−0.4032	0.1626	7.87	−0.45	0.2025
13	2.5	2.0153	−0.4847	0.2349	2.38	−0.12	0.0144
14	1.39	1.1423	−0.2477	0.0614	1.18	−0.21	0.0441
15	2.8	2.5067	−0.2933	0.0860	2.45	−0.35	0.1225
16	0.3	0.259	−0.041	0.0017	0.27	−0.03	0.0009
17	0.51	0.499	−0.011	0.0001	0.47	−0.04	0.0016
18	0.91	1.8601	0.9501	0.9027	1.81	0.9	0.8100
19	1.34	0.9799	−0.3601	0.1297	1.24	−0.1	0.0100
20	0.68	0.4956	−0.1844	0.0340	0.68	0	0.0000
21	0.45	0.4621	0.0121	0.0001	0.53	0.08	0.0064
22	0.51	0.4554	−0.0546	0.0030	0.4	−0.11	0.0121
23	0.25	0.1628	−0.0872	0.0076	0.17	−0.08	0.0064
24	11.07	6.3014	−4.7686	22.7395	7.03	−4.04	16.3216
25	4.03	4.1075	0.0775	0.0060	4.26	0.23	0.0529
26	0.55	0.0571	−0.4929	0.2430	0.05	−0.5	0.2500
27	0.7	0.6549	−0.0451	0.0020	0.72	0.02	0.0004
28	5.8	4.4421	−1.3579	1.8439	4.31	−1.49	2.2201
29	0.38	0.2823	−0.0977	0.0095	0.22	−0.16	0.0256
30	3.32	2.1621	−1.1579	1.3407	2.35	−0.97	0.9409
31	0.5	0.4702	−0.0298	0.0009	0.43	−0.07	0.0049
32	0.99	0.7867	−0.2033	0.0413	0.91	−0.08	0.0064
33	0.45	0.3763	−0.0737	0.0054	0.33	−0.12	0.0144
34	0.4	0.3421	−0.0579	0.0034	0.38	−0.02	0.0004
35	0.63	0.822	0.192	0.0369	0.81	0.18	0.0324
36	0.85	1.0452	0.1952	0.0381	0.98	0.13	0.0169
37	0.4	0.561	0.161	0.0259	0.47	0.07	0.0049
38	0.38	0.5465	0.1665	0.0277	0.49	0.11	0.0121
39	0.23	0.3274	0.0974	0.0095	0.36	0.13	0.0169
40	6.02	6.3466	0.3266	0.1067	6.39	0.37	0.1369
41	2.98	4.0667	1.0867	1.1809	3.88	0.9	0.8100
42	0.61	0.9346	0.3246	0.1054	0.93	0.32	0.1024
43	0.6	0.8256	0.2256	0.0509	0.91	0.31	0.0961
44	0.76	0.2627	−0.4973	0.2473	0.27	−0.49	0.2401
45	6.28	9.0659	2.7859	7.7612	7.84	1.56	2.4336
46	1.23	1.8439	0.6139	0.3769	1.55	0.32	0.1024
47	0.85	1.1438	0.2938	0.0863	1.1	0.25	0.0625
48	1.66	2.1355	0.4755	0.2261	2.37	0.71	0.5041
49	1.29	1.8673	0.5773	0.3333	1.76	0.47	0.2209
50	0.71	0.9715	0.2615	0.0684	1.01	0.3	0.0900
51	2.11	2.9768	0.8668	0.7513	2.92	0.81	0.6561
52	0.38	0.558	0.178	0.0317	0.68	0.3	0.0900
53	0.5	0.7342	0.2342	0.0548	0.82	0.32	0.1024
54	0.45	0.6368	0.1868	0.0349	0.66	0.21	0.0441
			Total	50.6541		Total	35.1834