Abstract
The structure function describes the functioning of a system dependent on the states of its components, and is central to theory of system reliability. The survival signature is a summary of the structure function which is sufficient to derive the system’s reliability function. Since its introduction in 2012, the survival signature has received much attention in the literature, with developments on theory, computation and generalizations. This paper presents an introductory overview of the survival signature, including some recent developments. We discuss challenges for practical use of survival signatures for large systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Aslett, L.J.M.: MCMC for inference on phase-type and masked system lifetime models. Ph.D. thesis, Trinity College Dublin (2012)
Aslett, L.J.M.: Reliability theory: tools for structural reliability analysis. R package (2012). www.louisaslett.com
Aslett, L.J.M.: Cryptographically secure multiparty evaluation of system reliability (2016). arXiv:1604.05180 [cs.CR]
Aslett, L.J.M., Coolen, F.P.A., Wilson, S.P.: Bayesian inference for reliability of systems and networks using the survival signature. Risk Anal. 35, 1640–1651 (2015)
Augustin, T., Coolen, F.P.A., de Cooman, G., Troffaes, M.C.M. (eds.): Introduction to Imprecise Probabilities. Wiley, Chichester (2014)
Coolen, F.P.A.: Nonparametric predictive inference. In: Lovric, M. (ed.) International Encyclopedia of Statistical Science, pp. 968–970. Springer (2011)
Coolen, F.P.A., Utkin, L.V.: Imprecise reliability. In: Lovric, M. (ed.) International Encyclopedia of Statistical Science, pp. 649–650. Springer (2011)
Coolen, F.P.A., Coolen-Maturi, T.: On generalizing the signature to systems with multiple types of components. In: Zamojski W., Mazurkiewicz J., Sugier J., Walkowiak T., Kacprzyk J. (eds.) Complex Systems and Dependability, pp. 115–130. Springer (2012)
Coolen, F.P.A., Coolen-Maturi, T.: Predictive inference for system reliability after common-cause component failures. Reliab. Eng. Syst. Saf. 13, 27–33 (2015)
Coolen, F.P.A., Coolen-Maturi, T.: The structure function for system reliability as predictive (imprecise) probability. Reliab. Eng. Syst. Saf. 154, 180–187 (2016)
Coolen, F.P.A., Goldstein, M., Wooff, D.A.: Project viability assessment for support of software testing via Bayesian graphical modelling. In: Bedford, T., van Gelder, P. H. A. J. M. (eds.) Safety and Reliability (Proceedings ESREL’03), pp. 417–422. Swets & Zeitlinger (2003)
Coolen, F.P.A., Goldstein, M., Wooff, D.A.: Using Bayesian statistics to support testing of software systems. J. Risk Reliab. 221, 85–93 (2007)
Coolen, F.P.A., Coolen-Maturi, T., Al-nefaiee, A.H.: Nonparametric predictive inference for system reliability using the survival signature. J. Risk Reliab. 228, 437–448 (2014)
Coolen, F.P.A., Huang, X., Najem, A.: Reliability analysis of phased mission systems when components can be swapped upon failure. ASCE-ASME J. Risk Uncertain. Eng. Syst. - Part B: Mech. Eng. 6(2), 020905 (2020)
Coolen-Maturi, T., Coolen, F.P.A., Balakrishnan, N.: The joint survival signature of coherent systems with shared components. In submission
De Finetti, B.: Theory of Probability (2 Vols). Wiley, Chichester (1974)
Eryilmaz, S., Coolen, F.P.A., Coolen-Maturi, T.: Marginal and joint reliability importance based on survival signature. Reliab. Eng. Syst. Saf. 172, 118–128 (2018)
Eryilmaz, S., Coolen, F.P.A., Coolen-Maturi, T.: Mean residual life of coherent systems consisting of multiple types of dependent components. Naval Res. Logist. 65, 86–97 (2018)
Feng, G., Patelli, E., Beer, M., Coolen, F.P.A.: Imprecise system reliability and component importance based on survival signature. Reliab. Eng. Syst. Saf. 150, 116–125 (2016)
George-Williams, H., Feng, G., Coolen, F.P.A., Beer, M., Patelli, E.: Extending the survival signature paradigm to complex systems with non-repairable dependent failures. J. Risk Reliab. 233, 505–519 (2019)
Huang, X., Coolen, F.P.A.: Reliability sensitivity analysis of coherent systems based on survival signature. J. Risk Reliab. 232, 627–634 (2018)
Huang, X., Aslett, L.J.M., Coolen, F.P.A.: Reliability analysis of general phased mission systems with a new survival signature. Reliab. Eng. Syst. Saf. 189, 416–422 (2019)
Huang, X., Coolen, F.P.A., Coolen-Maturi, T.: A heuristical survival signature based approach for reliability-redundancy allocation. Reliab. Eng. Syst. Saf. 185, 511–517 (2019)
Huang, X., Coolen, F.P.A., Coolen-Maturi, T., Zhang, Y.: A new study on reliability importance analysis of phased mission systems. IEEE Trans. Reliab. 69, 522–532 (2020)
Najem, A., Coolen, F.P.A.: System reliability and component importance when components can be swapped upon failure. Appl. Stoch. Model. Bus. Ind. 35, 399–413 (2019)
Patelli, E., Feng, G., Coolen, F.P.A., Coolen-Maturi, T.: Simulation methods for system reliability using the survival signature. Reliab. Eng. Syst. Saf. 167, 327–337 (2017)
Reed, S.: An efficient algorithm for exact computation of system and survival signatures using binary decision diagrams. Reliab. Eng. Syst. Saf. 165, 257–267 (2017)
Rusnak, P., Zaitseva, E., Coolen, F.P.A., Kvassay, M., Levashenko, V.: Logic differential calculus for reliability analysis based on survival signature. In submission
Qin, J., Coolen, F.P.A.: Survival signature for reliability evaluation of a multi-state system with multi-state components. In submission
Samaniego, F.J.: On closure of the IFR class under formation of coherent systems. IEEE Trans. Reliab. 34, 69–72 (1985)
Samaniego, F.J.: System Signatures and Their Applications in Engineering Reliability. Springer, New York (2007)
Samaniego, F.J., Navarro, J.: On comparing coherent systems with heterogeneous components. Adv. Appl. Probab. 48, 88–111 (2016)
Utkin, L.V., Coolen, F.P.A.: Imprecise reliability: an introductory overview. In: Levitin, G. (ed.) Computational Intelligence in Reliability Engineering, Volume 2: New Metaheuristics, Neural and Fuzzy Techniques in Reliability, pp. 261–306. Springer (2007)
Walter, G., Aslett, L.J.M., Coolen, F.P.A.: Bayesian nonparametric system reliability using sets of priors. Int. J. Approx. Reason. 80, 67–88 (2017)
Wooff, D.A., Goldstein, M., Coolen, F.P.A.: Bayesian graphical models for software testing. IEEE Trans. Softw. Eng. 28, 510–525 (2002)
Wooff, D.A., Goldstein, M., Coolen, F.P.A.: Bayesian graphical models for high complexity testing: aspects of implementation. In: Kenett, R.S., Ruggeri, F., Faltin, F.W. (eds.) Analytic Methods in Systems and Software Testing, pp. 213–243. Wiley (2018)
Acknowledgements
This paper is closely related to a presentation at The International Workshop on Reliability Engineering and Computational Intelligence (October 2020). We thank the organisers, in particular Elena Zaitseva, for the invitation to present our work.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Coolen, F.P.A., Coolen-Maturi, T. (2021). The Survival Signature for Quantifying System Reliability: An Introductory Overview from Practical Perspective. In: van Gulijk, C., Zaitseva, E. (eds) Reliability Engineering and Computational Intelligence. Studies in Computational Intelligence, vol 976. Springer, Cham. https://doi.org/10.1007/978-3-030-74556-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-030-74556-1_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-74555-4
Online ISBN: 978-3-030-74556-1
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)