Generalizing the Signature to Systems with Multiple Types of Components (original) (raw)

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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Authors and Affiliations

  1. Department of Mathematical Sciences, Durham University, Durham, United Kingdom
    Frank P. A. Coolen & Tahani Coolen-Maturi
  2. Kent Business School, University of Kent, Canterbury, United Kingdom
    Frank P. A. Coolen & Tahani Coolen-Maturi

Authors

  1. Frank P. A. Coolen
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  2. Tahani Coolen-Maturi
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Editors and Affiliations

  1. , Institute of Computer Engineering,, Wrocław University of Technology, ul. Janiszewskiego 11/17, Wroclaw, 50-372, Poland
    Wojciech Zamojski
  2. Institute of Computer Engineering, Control and Robotics, Wrocław University of Technology, ul. Janiszewskiego 11/17, Wrocław, 50-372, Poland
    Jacek Mazurkiewicz
  3. , Institute of Computer Engineering,, Wrocław University of Technology, ul. Janiszewskiego 11/17, Wroclaw, 50-372, Poland
    Jarosław Sugier
  4. , Institute of Computer Engineering,, Wrocław University of Technology, ul. Janiszewskiego 11/17, Wroclaw, 50-372, Poland
    Tomasz Walkowiak
  5. Systems Research Instiute, Polish Academy of Sciences, Newelska 6, Warszawa, 01-447, Poland
    Janusz Kacprzyk

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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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