Reliability Analysis of Phased-mission System of Systems for Escort Formation Based on BDD

doi:10.3969/j.issn.1000-1093.2020.05.021

Abstract

Abstract: The escort formation consists of several ships and is a complex equipment system. The escort formation is taken as a research object, and the concept of phased mission system of systems (PMSoS) is proposed based on the phased mission system (PMS). A mission reliability model is established according to the characteristics of escort formation, and the phased fault tree is simplified according to the common failure basic task. On this basis, the binary decision diagram (BDD) modeling method is adopted to analyze the reliable events of each phase for the formation task, and the flow chart and detailed pseudo code implementation of BDD algorithm for solving the reliability to each stage are given. Finally, the reliability of escort mission process is analyzed and evaluated under the assumption that the life of escort formation system obeys the exponential distribution or the Weibull distribution, and the model and method proposed in this paper are verified. Key

Key words: escortformation, phasedmissionsystemofsystems, reliability, binarydecisiondiagram

CLC Number:

E917

BIAN Ruibing， ZHANG Yang， PAN Zhengqiang， CHENG Zhijun， BAI Senyang. Reliability Analysis of Phased-mission System of Systems for Escort Formation Based on BDD[J]. Acta Armamentarii, 2020, 41(5): 1016-1024.

References

［1］ XING L, DUGAN J B. Analysis of generalized phased-mission system reliability, performance, and sensitivity［J］. IEEE Tran-sactions on Reliability, 2002,51(2):199-211.
［2］ XING L, AMARI S V. (2008) Reliability of phased-mission systems［M］. MIRA K B. Handbook of Performability Engineering. London, UK： Springer, 2008:349-368.
［3］陈志诚,姚路,杨建军.可修多阶段任务系统可靠性仿真研究［J］.现代制造工程.2013(11):126-128,42.
CHEN Z C, YAO L，YANG J J．Reliability simulation research on repairable phased-mission system［J］ Modem Manufacturing Engineering, 2013(11): 126-128, 42. （in Chinese）
［4］ ZANG X, SUN H, TRIVEDI K S. A BDD-based algorithm for reliability analysis of phased-mission systems［J］. Reliability Engineering & System Safety, 1999, 66(2):157-170.
［5］聂成龙,张柳,于永利,等.多阶段任务系统任务持续能力仿真模型研究［J］.系统仿真学报, 2008, 20(3):729-732.
NIE C L, ZHANG L, YU Y L, et a1. Research to PMS mission sustainability simulating models［J］. Journal of System Simulation,2008,20(3):729-732.（in Chinese）
［6］杨春辉,杨建军,姚路.多阶段任务系统通用可靠性仿真模型［J］.北京航空航天大学学报,2011, 37(12):1562-1568.
YANG C H, YANG J J, YAO L. General model for PMS reliability［J］．Journal of Beijing University of Aeronautics and Astronautics,2011,37(12):1562-1568. （in Chinese）
［7］ XING L, LEVITIN G. BDD-based reliability evaluation of phased-mission systems with internal/external common-cause failures［J］. Reliability Engineering & System Safety, 2013,112:145-153.
［8］ XING L, AMARI S V, WANG C. Reliability of k-out-of-n systems with phased-mission requirements and imperfect fault coverage［J］. Reliability Engineering & System Safety,2012, 103:45-50.
［9］ DUGAN J B. Automated analysis of phased-mission reliability［J］. IEEE Transactions on Reliability,1991, 40(1):45-52,55.

［10］ SMOTHERMAN M, ZEMOUDEH K. A non-homogeneous Mar-kov model for phased-mission reliability analysis［J］. IEEE Tran-sactions on Reliability,1989,38(5):585-590.
［11］ MURA I, BONDAVALLI A. Hierarchical modeling and evaluation of phased-mission systems［J］. IEEE Transactions on Reliability, 1999, 48(4):360-368.
［12］ MURA I, BONDAVALLI A. Markov regenerative stochastic Petri nets to model and evaluate phased mission systems dependability［J］. IEEE Transactions on Computers, 2002, 50(12):1337-1351.
［13］ TANG Z, DUGAN J B. BDD-based reliability analysis of phased-mission systems with multimode failures［J］. IEEE Transactions on Reliability, 2006, 55(2):350-360.
［14］ ANDREWS J D. Birnbaum and criticality measures of component contribution to the failure of phased missions［J］. Reliability Engineering & System Safety, 2008, 93(12):1861-1866.
［15］闫华,王魁,刘子林,等.基于Markov方法的多阶段任务系统可靠性分析综述［J］.兵器装备工程学报,2016, 37(6):92-96.
YAN H, WANG K, LIU Z L, et al. Reliability analysis of phased-mission system using Markov approach［J］. Journal of Ordnance Equipment Engineering, 2016, 37(6):92-96. （in Chinese）
［16］ MO Y. New insights into the BDD-based reliability analysis of phased-mission systems［J］. IEEE Transactions on Reliability, 2009, 58(4):667-678.
［17］孟礼.多阶段任务系统可靠性分析的二元决策图模型［J］. 国防科技大学学报, 2017,39(2):184-192.
MENG L. Binary decision diagram model for reliability analysis of phased-mission system［J］. Journal of National University of Defense Technology,2017,39(2):184-192.（in Chinese）
［18］ LU J M, WU X Y. Reliability evaluation of generalized phased-mission systems with repairable components［J］. Reliability Engineering & System Safety, 2014,121:136-145.
［19］ MO Y, XING L, AMARI S V. A multiple-valued decision diagram based method for efficient reliability analysis of non-repairable phased-mission systems［J］. IEEE Transactions on Reliability, 2014, 63(1):320-330.
［20］吴欢,焦健,赵廷弟.一种考虑共因失效的PMS可靠性建模分析方法［J］.北京航空航天大学学报,2018,44(5):197-203.
WU H, JIAO J, ZHAO T D. A PMS reliability modeling analysis method considering common cause failure［J］. Journal of Beijing University of Aeronautics and Astronautics,2018,44(5):197-203.（in Chinese）
［21］王楠,杜素果.一种多阶段任务系统的BDD排序新方法［J］. 科学技术与工程, 2010,10(17):111-118.
WANG N, DU S G. A new BDD ranking method for phased mission system ［J］. Science Technology and Engineering, 2010,10(17): 111-118.（in Chinese）
［22］周厚顺,黎放,胡斌.基于二元决策图的多阶段任务系统可靠性分析［J］.海军工程大学学报, 2012,24(4):97-100.
ZHOU H S, LI F, HU B. BDD-based reliability analysis of phased mission system ［J］. Journal of Naval University of Engineering, 2012,24(4):97-100.（in Chinese）

第41卷第5期2020 年5月
兵工学报ACTA ARMAMENTARII
Vol.41No.5May2020

[1]	LIU Qin， JI Guangzhen， CAO Pulin， LI Juan， LIU Ying. Reliability Design and Analysis Methodfor Complex Mechanical System Based on Physics of Failure [J]. Acta Armamentarii, 2022, 43(S1): 189-195.
[2]	ZHAO Jian， ZHANG Liang， LI Aoran， FENG Yu， ZHANG Yu， LIU Rui， LI Yi， LI Xinyong， ZHU Zhenlei. Reliability Index Distribution of Armored Equipment Based on System Engineering Method [J]. Acta Armamentarii, 2022, 43(S1): 196-202.
[3]	LIU Lin， GONG Chen， LI Mengmeng， WANG Ran. RMSST Design Based on Virtual Reality [J]. Acta Armamentarii, 2022, 43(S1): 208-213.
[4]	LI Jingkui， LIN Wenjie， JIANG Xiuhong， LU Yuze. Reliability Analysis of Aircraft Fuel Closed-loop Control System Based on GO Methodology and Markov Process [J]. Acta Armamentarii, 2022, 43(6): 1447-1455.
[5]	DING Li， GU Jiahui， ZHOU Jinyu， KANG Shaopeng， CHEN Yifei， LI Ziyi. Kinematic Reliability Analysis for Redundant Robots Based on Envelope Method [J]. Acta Armamentarii, 2022, 43(6): 1426-1434.
[6]	JI Ming， BU Junjun， MA Cong. Maximum Entropy Test Method for Evaluating the Output Reliability of Space Actuators [J]. Acta Armamentarii, 2022, 43(4): 919-923.
[7]	JIANG Xiuhong， LI Jiaxin， LIU Yanjuan， WANG Yuying. Reliability Analysis of Electric Aircraft Drive System with Feedback Loop [J]. Acta Armamentarii, 2022, 43(2): 451-457.
[8]	WANG Bo, JIANG Ping, GUO Bo. Reliability Evaluation of Aerospace Valves Based on Multi-source Information Fusion [J]. Acta Armamentarii, 2022, 43(1): 199-206.
[9]	QIU Jiwei, LUO Haisheng. Self-adaptive Conjugate Nonlinear Approximation Method for Structural Reliability Analysis [J]. Acta Armamentarii, 2021, 42(3): 648-654.
[10]	HU Tingchun， SUN Yufeng， ZHAO Guangyan. A Method for Taking Values of Equipment Reliability Design Assurance Coefficient [J]. Acta Armamentarii, 2021, 42(12): 2753-2761.
[11]	CHEN Pengfei, HE Peng, YU Tailong, LIU Qiaoling. An Analysis Method for Nonlinear Structural Reliability Based on Gradient Search Method [J]. Acta Armamentarii, 2021, 42(1): 175-184.
[12]	WANG Liwei， CAI Jinyan， XU Chengzhi， ZHU Sai. Self-repair Strategy of Wire Fault Tolerance in Embryonic Electronic Array [J]. Acta Armamentarii, 2020, 41(9): 1848-1860.
[13]	YANG Zhiyuan, ZHAO Jianmin, CHENG Zhonghua, LI Liying, CHI Kuo. Reliability Model of Competing Failure System with Dependent Degradation [J]. Acta Armamentarii, 2020, 41(7): 1423-1433.
[14]	NIU Yueting ， ZHAO Hui， LI Yan， MU Xihui， ZHANG Guozhi. Sampling Method of High Value Ammunition Based on Weibull Life Distribution [J]. Acta Armamentarii, 2020, 41(7): 1434-1440.
[15]	CAO Hui， DUAN Fuhai， JIANG Xiuhong. Research on Reliability Analysis of Multi-state System Based on UGF and GO Methodology [J]. Acta Armamentarii, 2020, 41(4): 792-798.