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Phased mission modelling of systems with maintenance-free operating periods using simulated Petri nets

Author

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  • Chew, S.P.
  • Dunnett, S.J.
  • Andrews, J.D.

Abstract

A common scenario in engineering is that of a system which operates throughout several sequential and distinct periods of time, during which the modes and consequences of failure differ from one another. This type of operation is known as a phased mission, and for the mission to be a success the system must successfully operate throughout all of the phases. Examples include a rocket launch and an aeroplane flight. Component or sub-system failures may occur at any time during the mission, yet not affect the system performance until the phase in which their condition is critical. This may mean that the transition from one phase to the next is a critical event that leads to phase and mission failure, with the root cause being a component failure in a previous phase. A series of phased missions with no maintenance may be considered as a maintenance-free operating period (MFOP). This paper describes the use of a Petri net (PN) to model the reliability of the MFOP and phased missions scenario. The model uses Monte-Carlo simulation to obtain its results, and due to the modelling power of PNs, can consider complexities such as component failure rate interdependencies and mission abandonment. The model operates three different types of PN which interact to provide the overall system reliability modelling. The model is demonstrated and validated by considering two simple examples that can be solved analytically.

Suggested Citation

  • Chew, S.P. & Dunnett, S.J. & Andrews, J.D., 2008. "Phased mission modelling of systems with maintenance-free operating periods using simulated Petri nets," Reliability Engineering and System Safety, Elsevier, vol. 93(7), pages 980-994.
    • Handle: RePEc:eee:reensy:v:93:y:2008:i:7:p:980-994
    DOI: 10.1016/j.ress.2007.06.001
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    Cited by:

    1. Kleyner, Andre & Volovoi, Vitali, 2010. "Application of Petri nets to reliability prediction of occupant safety systems with partial detection and repair," Reliability Engineering and System Safety, Elsevier, vol. 95(6), pages 606-613.
    2. Lu, Ji-Min & Wu, Xiao-Yue, 2014. "Reliability evaluation of generalized phased-mission systems with repairable components," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 136-145.
    3. Fritzsche, R., 2012. "Cost adjustment for single item pooling models using a dynamic failure rate: A calculation for the aircraft industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1065-1079.
    4. Simeu-Abazi, Zineb & Ahmad, Alali Alhouaij, 2011. "Optimisation of distributed maintenance: Modelling and application to the multi-factory production," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1564-1575.
    5. Xia, Tangbin & Xi, Lifeng & Pan, Ershun & Ni, Jun, 2017. "Reconfiguration-oriented opportunistic maintenance policy for reconfigurable manufacturing systems," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 87-98.
    6. Peng, Rui & Wu, Di & Xiao, Hui & Xing, Liudong & Gao, Kaiye, 2019. "Redundancy versus protection for a non-reparable phased-mission system subject to external impacts," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    7. Peng, Rui & Zhai, Qingqing & Xing, Liudong & Yang, Jun, 2014. "Reliability of demand-based phased-mission systems subject to fault level coverage," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 18-25.
    8. Tiassou, Kossi & Kanoun, Karama & Kaâniche, Mohamed & Seguin, Christel & Papadopoulos, Chris, 2013. "Aircraft operational reliability—A model-based approach and a case study," Reliability Engineering and System Safety, Elsevier, vol. 120(C), pages 163-176.
    9. Sheng, Jingyu & Prescott, Darren, 2019. "Using a novel hierarchical coloured Petri net to model and optimise fleet spare inventory, cannibalisation and preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    10. Ayse Sena Eruguz & Tarkan Tan & Geert‐Jan van Houtum, 2017. "Optimizing usage and maintenance decisions for k‐out‐of‐n systems of moving assets," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(5), pages 418-434, August.
    11. Sheng, Jingyu & Prescott, Darren, 2017. "A hierarchical coloured Petri net model of fleet maintenance with cannibalisation," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 290-305.
    12. Lu, Ji-Min & Wu, Xiao-Yue & Liu, Yiliu & Ann Lundteigen, Mary, 2015. "Reliability analysis of large phased-mission systems with repairable components based on success-state sampling," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 123-133.
    13. Xiao-song Yang & Xiao-yue Wu & Xin-yang Wu, 2014. "Automated generation of mission reliability simulation model for space tracking, telemetry and control system by extensible markup language and extended object-oriented Petri net," Journal of Risk and Reliability, , vol. 228(4), pages 397-408, August.
    14. Wu, Xin-yang & Wu, Xiao-Yue, 2015. "Extended object-oriented Petri net model for mission reliability simulation of repairable PMS with common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 109-119.
    15. Tiedo Tinga & Rene Janssen, 2013. "The interplay between deployment and optimal maintenance intervals for complex multi-component systems," Journal of Risk and Reliability, , vol. 227(3), pages 227-240, June.
    16. Matsuoka, Takeshi, 2023. "Reliability analysis of a BWR plant system at startup stage  - analysis by the GO-FLOW methodology with consideration of loop structures and phased mission problem -," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    17. Xing, Liudong & Amari, Suprasad V. & Wang, Chaonan, 2012. "Reliability of k-out-of-n systems with phased-mission requirements and imperfect fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 45-50.
    18. Sheng, Jingyu & Prescott, Darren, 2019. "A coloured Petri net framework for modelling aircraft fleet maintenance," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 67-88.
    19. Huang, Xianzhen & Aslett, Louis J.M. & Coolen, Frank P.A., 2019. "Reliability analysis of general phased mission systems with a new survival signature," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 416-422.
    20. Zhai, Qingqing & Xing, Liudong & Peng, Rui & Yang, Jun, 2018. "Aggregated combinatorial reliability model for non-repairable parallel phased-mission systems," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 242-250.
    21. Yu, Haiyue & Wu, Xinyang & Wu, Xiaoyue, 2020. "An extended object-oriented petri net model for mission reliability evaluation of phased-mission system with time redundancy," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    22. Gonçalves, P. & Sobral, J. & Ferreira, L.A., 2017. "Unmanned aerial vehicle safety assessment modelling through petri Nets," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 383-393.

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