Availability modelling for periodically inspected systems under mixed maintenance policies

doi:10.23919/JSEE.2021.000062

Journal of Systems Engineering and Electronics ›› 2021, Vol. 32 ›› Issue (3): 722-730.doi: 10.23919/JSEE.2021.000062

• RELIABILITY • Previous Articles

Availability modelling for periodically inspected systems under mixed maintenance policies

Junliang LI(), Yueliang CHEN*(), Yong ZHANG(), Zhuzhu ZHANG(), Weijie FAN()

¹ Qingdao Campus, Naval Aeronautics University, Qingdao 266041, China

Received:2020-03-24 Online:2021-06-18 Published:2021-07-26
Contact: Yueliang CHEN E-mail:Navy_air523@126.com;Cyl0532@sina.com;Zhangyong308@126.com;352779783@qq.com;wjf725@sina.cn
About author:|LI Junliang was born in 1982. He received his Ph.D. degree in aerospace science and technology from Naval Aeronautics University in China. He is a lecturer in Qingdao Campus of Naval Aeronautics University. His research interests include reliability engineering, industrial statistics, and decision analysis. E-mail: Navy_air523@126.com||CHEN Yueliang was born in 1962. He received his Ph.D. degree in solid mechanics from Northwestern Polytechnic University in 2005. He is a professor in Qingdao Campus of Naval Aeronautics University. His research interests are fatigue strength and reliability of aviation equipment. E-mail: Cyl0532@sina.com||ZHANG Yong was born in 1981. He received his M.S. degree in materials engineering and science from National University of Defense Technology in 2008. He is an associate professor in Qingdao Campus of Naval Aeronautics University. His research interests are corrosion and protection of aviation equipment. E-mail: Zhangyong308@126.com||ZHANG Zhuzhu was born in 1992. He received his Ph.D. degree in aerospace science and technology from Naval Aeronautics University in 2020. His research interests are aircraft structure strength and corrosion protection, and impact dynamics. E-mail: 352779783@qq.com||FAN Weijie was born in 1988. He received his Ph.D. degree in materials science from Chinese Academy of Sciences in 2019. He is a lecturer in Qingdao Campus of Naval Aeronautics University He has published more than 20 peer-reviewed journal and conference papers, and more than five Chinese patents as a principle investigator (PI). As the PI, he has received two governmental funds and three industrial funds. His interests include marine corrosion and protection, advanced protection technology, aircraft structural strength, and self-healing coating. E-mail: wjf725@sina.cn
Supported by:
This work was supported by the China Postdoctoral Science Foundation (2019M653929), the National Natural Science Foundation of Shandong Province (ZR201910310210), and the Green Innovation Science and Technology Plan of Colleges and Universities in Shandong Province (2020KJA014)

Abstract

Abstract:

The availability of a periodic inspection system under mixed maintenance policies is studied in this paper. To accommodate the characteristic of multiple failure modes for complex systems, the system failures can be divided into two failure modes: hard failure and soft failure. When hard failure occurs, the corresponding corrective maintenance will be performed, taking a random time under the perfect maintenance policy; in contrast, if the soft failure is found, the corresponding preventive maintenance will be performed, taking a random time under the imperfect maintenance policy. The dynamic age setback model is adopted for imperfect maintenance, which can accurately reflect the fault characteristics of the degraded system. Then an analytical model for system steady state availability and instantaneous availability are derived. Moreover, the optimal method to maximize the system steady-state availability through adjusting the inspection interval is researched. According to the above research, the optimization of system unit time cost, preventive maintenance intervals and availability is researched. Finally, the developed approach is demonstrated by a numerical example.

Key words: availability, reliability, maintenance, repairable system, maintenance policy

Junliang LI, Yueliang CHEN, Yong ZHANG, Zhuzhu ZHANG, Weijie FAN. Availability modelling for periodically inspected systems under mixed maintenance policies[J]. Journal of Systems Engineering and Electronics, 2021, 32(3): 722-730.

Figures/Tables 9

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References 30

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PM interval	1	2	3	4	5
${\rm{E}}(X)$	3.999 5	7.936 5	7.725 3	7.464 8	7.329 7
Average availability	—	—	0.757 4	—	—

A	$\tau $
A	0	1	2	3	4	5	6	7	8	9	10
0	inf	inf	inf	inf	inf	inf	inf	inf	inf	inf	inf
0.1	16	12.05	12.44	13.031	13.638	14.242	14.848	15.454	16.06	16.666	17.272
0.2	8	6.02	6.22	6.515	6.818	7.121	7.424	7.728	8.03	8.333	8.636 6
0.3	5.33	4.01	4.14	4.34	4.545	4.747	4.949	5.151	5.353	5.555	5.7578
0.4	4	3.01	3.11	3.257	3.409	3.56	3.712	3.863	4.015	4.166 7	4.318 8
0.5	3.2	2.4	2.488	2.606	2.727	2.848	2.969	3.095	3.212	3.333	3.454
0.6	2.66	2.00	2.079	2.171	2.272	2.373	2.474	2.575	2.676	2.778	2.878 9
0.7	2.28	1.72	1.77	1.861	1.948	2.034	2.121	2.207	2.294	2.38	2.468
0.8	2	1.50	1.555	1.628	1.704	1.78	1.856	1.931	2.007	2.083	2.159 9
0.9	1.77	1.33	1.38	1.447	1.515	1.582	1.649	1.717	1.78	1.85	1.919 9
1	1.6	1.20	1.244	1.303	1.36	1.424	1.484	1.545	1.606	1.666	1.727 7

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Availability modelling for periodically inspected systems under mixed maintenance policies

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