Abstract
The concept of signature was introduced to simplify quantification of reliability for coherent systems and networks consisting of a single type of components, and for comparison of such systems’ reliabilities. The signature describes the structure of the system and can be combined with order statistics of the component failure times to derive inferences on the reliability of a system and to compare multiple systems. However, the restriction to use for systems with a single type of component prevents its application to most practical systems. We discuss the difficulty of generalization of the signature to systems with multiple types of components. We present an alternative, called the survival signature, which has similar characteristics and is closely related to the signature. The survival signature provides a feasible generalization to systems with multiple types of components.
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References
Al-nefaiee, A.H., Coolen, F.P.A.: Nonparametric prediction of system failure time using partially known signatures. In: Proceedings Statistical Models and Methods for Reliability and Survival Analysis and their Validation, Bordeaux (to appear, July 2012)
Coolen, F.P.A.: Nonparametric predictive inference. In: Lovric (ed.) International Encyclopedia of Statistical Science, pp. 968–970. Springer, Berlin (2011)
Coolen, F.P.A., Aboalkhair, A.M., MacPhee, I.M.: Diversity in system reliability following component testing. The Journal of the Safety and Reliability Society 30(4), 78–93 (2010)
Coolen, F.P.A., Al-nefaiee, A.H.: Nonparametric predictive inference for failure times of systems with exchangeable components. Journal of Risk and Reliability (to appear, 2012)
Coolen, F.P.A., Troffaes, M.C.M., Augustin, T.: Imprecise probability. In: Lovric (ed.) International Encyclopedia of Statistical Science, pp. 645–648. Springer, Berlin (2011)
Coolen, F.P.A., Utkin, L.V.: Imprecise reliability. In: Lovric (ed.) International Encyclopedia of Statistical Science, pp. 649–650. Springer, Berlin (2011)
Coolen-Maturi, T., Coolen, F.P.A.: Unobserved, re-defined, unknown or removed failure modes in competing risks. Journal of Risk and Reliability 225, 461–474 (2011)
Coolen-Schrijner, P., Coolen, F.P.A., MacPhee, I.M.: Nonparametric predictive inference for systems reliability with redundancy allocation. Journal of Risk and Reliability 222, 463–476 (2008)
De Finetti, B.: Theory of Probability. Wiley, New York (1974)
Eryilmaz, S.: Review of recent advances in reliability of consecutive k-out-of-n and related systems. Journal of Risk and Reliability 224, 225–237 (2010)
MacPhee, I.M., Coolen, F.P.A., Aboalkhair, A.M.: Nonparametric predictive system reliability with redundancy allocation following component testing. Journal of Risk and Reliability 223, 181–188 (2009)
Maturi, T.A., Coolen-Schrijner, P., Coolen, F.P.A.: Nonparametric predictive inference for competing risks. Journal of Risk and Reliability 224, 11–26 (2010)
Rahrouh, M., Coolen, F.P.A., Coolen-Schrijner, P.: Bayesian reliability demonstration for systems with redundancy. Journal of Risk and Reliability 220, 137–145 (2006)
Samaniego, F.J.: System Signatures and their Applications in Engineering Reliability. Springer, New York (2007)
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Coolen, F.P.A., Coolen-Maturi, T. (2013). 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. Advances in Intelligent and Soft Computing, vol 170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30662-4_8
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DOI: https://doi.org/10.1007/978-3-642-30662-4_8
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