Reliability analysis of torpedo loading based on fractional-order optimization model

doi:10.23919/JSEE.2023.000085

Journal of Systems Engineering and Electronics ›› 2023, Vol. 34 ›› Issue (3): 798-803.doi: 10.23919/JSEE.2023.000085

• RELIABILITY • Previous Articles

Reliability analysis of torpedo loading based on fractional-order optimization model

Cheng YANG(), Qingwei LIANG(), Xinyu HAO(), Sheng LIN

¹ College of Marine, Northwest Polytechnic University, Xi’an 710072, China

Received:2021-06-25 Online:2023-06-15 Published:2023-06-30
Contact: Qingwei LIANG E-mail:1491005811@qq.com;liangqingwei@nwpu.edu.cn;haoxinyuuu@163.com
About author:
YANG Cheng was born in 1996. He received his M.S. degree with the College of Marine Science and Technology, Northwestern Polytechnical University, Xi’an, China. He is currently pursuing his Ph.D. degree with the College of Marine Science and Technology, Northwestern Polytechnical University, Xi’an, China. His research interests are systems engineering and reliability. E-mail: 1491005811@qq.com

LIANG Qingwei was born in 1970. She received her B.S., M.S. and Ph.D. degrees from Northwestern Polytechnical University, Xi ’an, China, in 1992, 1997 and 2006, respectively. She is an associate professor and a doctoral supervisor of the College of Marine Science and Technology, Northwestern Polytechnical University. Her research interests are system engineering and reliability. E-mail: liangqingwei@nwpu.edu.cn

HAO Xinyu was born in 1995. He received his M.S. degree with the College of Marine Science and Technology, Northwestern Polytechnical University, Xi’an, China. His research interests are system engineering and reliability. E-mail: haoxinyuuu@163.com

LIN Sheng was born in 1997. He is currently pursuing his M.S. degree with the College of Marine Science and Technology, Northwestern Polytechnical University, Xi’an, China. His research interest is systems effectiveness analysis of underwater vehicle cluster. E-mail: 2509404887@qq.com

Abstract

Abstract:

A fractional-order cumulative optimization GM(1,2) model based on grey theory is proposed to study the relationship between torpedo loading and working reliabilities. In this model, the average relative error function related to order and background value is established. Taking the average relative error function as the objective function, the optimal value of the two parameters is obtained through the optimization method, and the minimum value of the average relative error is determined. The calculation example shows that this method can greatly improve the accuracy of the model and more accurately reflect the relationship between torpedo loading and working reliabilities compared with the traditional GM(1,2) model.

Key words: torpedo, loading reliability, working reliability, grey theory, fractional-order

Cheng YANG, Qingwei LIANG, Xinyu HAO, Sheng LIN. Reliability analysis of torpedo loading based on fractional-order optimization model[J]. Journal of Systems Engineering and Electronics, 2023, 34(3): 798-803.

Figures/Tables 6

Fig 1

Table 1

Table 2

Table 3

Table 4

Table 5

References 27

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Falilure rate	k
Falilure rate	1	2	3	4	5
$ {X}_{1}^{\left(0\right)} $	1.0000	1.0768	1.0763	1.0946	1.1497
$ {X}_{2}^{\left(0\right)} $	1.0000	0.9124	0.9750	0.9637	0.9121

Number	Original value	Model
Number	Original value	A	B	C	D
2	645.5662	568.1445	645.5511	601.1295	616.8675
3	645.2683	780.6895	761.9369	622.3175	631.2121
4	656.2458	728.6742	700.0268	656.2609	655.0183
5	689.2589	659.7124	646.7928	666.1058	689.2384

Number	Residual
Number	A	B	C	D
2	−77.4217	−0.0151	−44.4367	−28.6987
3	135.4212	116.6686	−22.9508	−14.0562
4	72.4284	43.7810	0.0151	−1.2275
5	−29.5465	−42.4661	−23.1531	−0.0205

Number	Model
Number	A	B	C	D
2	11.9928	0.0023	6.8834	4.4455
3	20.9868	18.0806	3.5568	2.1783
4	11.0368	6.6714	0.0023	0.1871
5	4.2867	6.1611	3.3591	0.0030
Average relative error	12.0758	7.7289	3.4504	1.7035

Accuracy class	Relative error
First-order accuracy	0.01
Second-order accuracy	0.05
Third-order accuracy	0.10
Fourth-order accuracy	0.20

Reliability analysis of torpedo loading based on fractional-order optimization model

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