Skip to main content
SpringerLink
Log in

Availability Analysis of Transport Navigation System Under Imperfect Repair

  • Conference paper
  • First Online:
Contemporary Complex Systems and Their Dependability (DepCoS-RELCOMEX 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 761))

Included in the following conference series:

Abstract

The results of the classical renewal theory are used for the availability analysis of multistate systems under the assumption of imperfect renovation. A repairable system with the time of renovation ignored is considered. The system can be repaired after exceeding its critical reliability state, assuming that after a certain time or after a certain number of repairs the system cannot be restored to the state of full ability. The expected values of the times until the successive times of exceeding the reliability critical state, and the expected values of the numbers of exceeding the system critical state at a certain time point, are estimated. The theoretical results are applied to the availability evaluation of an exemplary transport navigation system. The results are compared for a single master navigation system and a navigation system with a back-up system.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Xue, J.: On multi-state system analysis. IEEE Trans. Reliab. 34, 329–337 (1985)

    Google Scholar 

  2. Xue, J., Yang, K.: Dynamic reliability analysis of coherent multi-state systems. IEEE Trans. Reliab. 44, 683–688 (1995)

    Article  Google Scholar 

  3. Kołowrocki, K.: Reliability of Large and Complex Systems, 2nd edn. Elsevier, London (2014)

    MATH  Google Scholar 

  4. Kołowrocki, K., Soszyńska-Budny, J.: Reliability and Safety of Complex Technical Systems and Processes: Modeling – Identification – Prediction – Optimization, 1st edn. Springer-Verlag, London (2011)

    Book  Google Scholar 

  5. Guze, S.: Reliability analysis of multi-state ageing series-consecutive m out of n: F systems. In: Proceedings of the European Safety and Reliability Conference ESREL 2009, vol. 3, pp. 1629–1635. CRC Press/Balkema, Prague (2010)

    Google Scholar 

  6. Blokus-Roszkowska, A., Dziula, P.: An approach to identification of critical infrastructure systems. In: Simos, T., Tsitouras, C. (eds.) Proceedings of the International Conference of Numerical Analysis and Applied Mathematics ICNAAM 2015, pp. 440006-10–440006-13. AIP Publishing (2016)

    Google Scholar 

  7. Badoux, R.A.J.: Availability and maintainability. In: Colombo, A.G., Keller, A.Z. (eds.) Reliability Modeling and Applications, pp. 99–124. Kluwer Academic Publishers Group, Dordrecht (1987)

    Google Scholar 

  8. Zio, E.: An Introduction to the Basics of Reliability and Risk Analysis. Series in Quality, Reliability and Engineering Statistics 13. World Scientific Publishing, Singapore (2007)

    Book  Google Scholar 

  9. Zio, E., Compare, M.: Evaluating maintenance policies by quantitative modeling and analysis. Reliab. Eng. Syst. Saf. 109, 53–65 (2013)

    Article  Google Scholar 

  10. Pham, H., Suprasad, A., Misra, R.B.: Availability and mean life time prediction of multistage degraded system with partial repairs. Reliab. Eng. Syst. Saf. 56, 169–173 (1997)

    Article  Google Scholar 

  11. Barlow, S.E., Wu, A.S.: Coherent systems with multi-state components. Math. Oper. Res. 3(11), 275–281 (1978)

    Article  MathSciNet  Google Scholar 

  12. El-Neweihi, E., Proschan, F., Sethuraman, J.: Multistate coherent systems. J. Appl. Prob. 15(12), 675–688 (1978)

    Article  MathSciNet  Google Scholar 

  13. Muhammad, M., Majid, M.A., Mokhtar, A.A.: Reliability evaluation for a multi-state system subject to imperfect repair and maintenance. Int. J. Eng. Technol. 10(01), 59–63 (2010)

    Google Scholar 

  14. Soro, I.W., Nourelfath, M., Ait-Kadi, D.: Performance evaluation of multi-state degraded systems with minimal repairs and imperfect preventive maintenance. Reliab. Eng. Syst. Saf. 95(2), 65–69 (2010)

    Article  Google Scholar 

  15. Nourelfath, M., Chatelet, E., Nahas, N.: Joint redundancy and imperfect preventive maintenance optimization for series–parallel multi-state degraded systems. Reliab. Eng. Syst. Saf. 103, 51–60 (2012)

    Article  Google Scholar 

  16. Kołowrocki, K., Soszyńska, J.: Reliability and availability of complex systems. Qual. Reliab. Eng. Int. 22(1), 79–99 (2006)

    Article  Google Scholar 

  17. Weintrit, A., Dziula, P., Siergiejczyk, M., Rosiński, A.: Reliability and exploitation analysis of navigational system consisting of ECDIS and ECDIS back-up systems. In: Weintrit, A. (ed.) Activities in Navigation. Marine Navigation and Safety of Sea Transportation, pp. 109–115. CRC Press, Leiden (2015)

    Chapter  Google Scholar 

  18. Guze, S., Smolarek, L., Weintrit, A.: The area-dynamic approach to the assessment of the risks of ship collision in the restricted water. Sci. J. Marit. Univ. Szczec. Zesz. Nauk. Akad. Morsk. w Szczec. 45(117), 88–93 (2016)

    Google Scholar 

  19. Dziula, P., Kołowrocki, K., Rosiński, A.: Issues concening identification of critical infrastructure systems within the Baltic Sea area. In: Podofillini, L., Sudret, B., Stojadinovic, B., Zio, E., Kröger, W. (eds.) Safety and Reliability of Complex Engineered Systems ESREL 2015, pp. 119–126. CRC Press/Balkema, Leiden (2015)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Gdynia Maritime University, Morska 81-87, 81-225, Gdynia, Poland

    Agnieszka Blokus-Roszkowska

Authors
  1. Agnieszka Blokus-Roszkowska
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Agnieszka Blokus-Roszkowska .

Editor information

Editors and Affiliations

  1. Department of Computer Engineering, Wrocław University of Technology, Wrocław, Poland

    Wojciech Zamojski

  2. Department of Computer Engineering, Wrocław University of Technology, Wrocław, Poland

    Jacek Mazurkiewicz

  3. Department of Computer Engineering, Wrocław University of Technology, Wrocław, Poland

    Jarosław Sugier

  4. Department of Computer Engineering, Wrocław University of Technology, Wrocław, Poland

    Tomasz Walkowiak

  5. Polish Academy of Sciences, Systems Research Institute, Warsaw, Poland

    Janusz Kacprzyk

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Blokus-Roszkowska, A. (2019). Availability Analysis of Transport Navigation System Under Imperfect Repair. In: Zamojski, W., Mazurkiewicz, J., Sugier, J., Walkowiak, T., Kacprzyk, J. (eds) Contemporary Complex Systems and Their Dependability. DepCoS-RELCOMEX 2018. Advances in Intelligent Systems and Computing, vol 761. Springer, Cham. https://doi.org/10.1007/978-3-319-91446-6_4

Download citation

Publish with us

Policies and ethics

Search

Navigation