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Timing analysis of safety properties using fault trees with time dependencies and timed state-charts

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  • Magott, Jan
  • Skrobanek, Pawel

Abstract

Behavior in time domain is often crucial for safety critical systems. Standard fault trees cannot express time-dependent behavior. In the paper, timing analysis of safety properties using fault trees with time dependencies (FTTDs) and timed state-charts is presented. A new version of timed state-charts (TSCs) is also proposed. These state-charts can model the dynamics of technical systems, e.g. controllers, controlled objects, and people. In TSCs, activity and communication times are represented by time intervals. In the proposed approach the structure of FTTD is fixed by a human. Time properties of events and gates of FTTD are expressed by time intervals, and are calculated using TSCs. The minimal and maximal values of these time intervals of FTTD can be calculated by finding paths with minimal and maximal time lengths in TSCs, which is an NP-hard problem. In order to reduce the practical complexity of computing the FTTD time parameters, some reductions of TSCs are defined in the paper, such as sequential, alternative, loop (iteration), and parallel. Some of the reductions are intuitive, in case of others—theorems are required. Computational complexity of each reduction is not greater than linear in the size of reduced TSC. Therefore, the obtained results enable decreasing of the costs of FTTD time parameters calculation when system dynamics is expressed by TSCs. Case study of a railroad crossing with a controller that controls semaphores, gate, light-audio signal close to the gate will be analyzed.

Suggested Citation

  • Magott, Jan & Skrobanek, Pawel, 2012. "Timing analysis of safety properties using fault trees with time dependencies and timed state-charts," Reliability Engineering and System Safety, Elsevier, vol. 97(1), pages 14-26.
    • Handle: RePEc:eee:reensy:v:97:y:2012:i:1:p:14-26
    DOI: 10.1016/j.ress.2011.09.004
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    Citations

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    Cited by:

    1. Favarò, Francesca M. & Saleh, Joseph H., 2016. "Toward risk assessment 2.0: Safety supervisory control and model-based hazard monitoring for risk-informed safety interventions," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 316-330.
    2. Nguyen, T.P. Khanh & Beugin, Julie & Marais, Juliette, 2015. "Method for evaluating an extended Fault Tree to analyse the dependability of complex systems: Application to a satellite-based railway system," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 300-313.
    3. Kowalski, Marcin & Magott, Jan & Nowakowski, Tomasz & Werbińska-Wojciechowska, Sylwia, 2014. "Exact and approximation methods for dependability assessment of tram systems with time window," European Journal of Operational Research, Elsevier, vol. 235(3), pages 671-686.
    4. Rogerson, Ellen C. & Lambert, James H., 2012. "Prioritizing risks via several expert perspectives with application to runway safety," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 22-34.
    5. Vodopivec, Neža & Miller-Hooks, Elise, 2019. "Transit system resilience: Quantifying the impacts of disruptions on diverse populations," Reliability Engineering and System Safety, Elsevier, vol. 191(C).

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