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Durham University

Department of Mathematical Sciences

Academic Staff

Publication details for Tahani Coolen-Maturi

Coolen, F.P.A. & Coolen-Maturi, T. (2012). Generalizing the signature to systems with multiple types of components. In Complex Systems and Dependability. Zamojski, W., Mazurkiewicz, J., Sugier, J. Walkowiak, T. & Kacprzyk, J. Berlin: Springer. 170: 115-130.

Author(s) from Durham


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.