New approaches to reliability and survivability with survival analysis, dynamic hybrid fault models, and evolutionary game theory

  • Authors:
  • Axel W. Krings;Zhanshan Ma

  • Affiliations:
  • University of Idaho;University of Idaho

  • Venue:
  • New approaches to reliability and survivability with survival analysis, dynamic hybrid fault models, and evolutionary game theory
  • Year:
  • 2008

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Abstract

The goal of this dissertation is to develop a new modeling architecture for reliability and survivability analyses. The objectives are threefold: (1) To overcome or relax critical limitations of the four assumptions (constant and homogenous failure rates, binary failure and univariate reliability, censoring of failure data, and independent failures) often associated with engineering reliability analysis; (2) To introduce new dynamic hybrid fault models; (3) To develop a new three-layer survivability analysis paradigm for modeling network survivability. The application domain is wireless sensor networks (WSN), but a large part of the modeling architecture equally applies to general engineering reliability and network survivability. This research makes the following major contributions: (1) It overcomes or relaxes four critical limitations in reliability engineering by introducing univariate survival analysis, competing risks analysis, and multivariate survival analysis into WSN research. The solutions to deal with these limitations build a new set of approaches for studying lifetime and reliability at both node and network levels of a WSN. They also provide models for analyzing UUUR (Unpredictable malicious actions, latent risks, Unobserved or Unobservable Risks) at the tactical level for the newly proposed three-layer survivability analysis. (2) The newly introduced dynamic hybrid fault models (i) transform traditional hybrid fault models into time and covariate dependent models, (ii) make real-time predictions of reliability more realistic, and allow for real-time predictions of fault-tolerance levels, (iii) set foundations for integrating hybrid fault models with reliability and survivability analyses by introducing evolutionary game modeling, and (iv) extend evolutionary game theory in its modeling of the survivals of game players. (3) It develops a new three-layer survivability analysis paradigm, consisting of a set of definitions, models and approaches. The tactical level includes survival analysis models for analyzing the consequences of UUUR events. The strategic level includes evolutionary game models which integrate dynamic hybrid fault models and tactical models. From the strategic level, the evolutionary stable strategy (ESS) prescribes the sustainable or survivable strategies . At the operational level, a duo of survivability metrics, action threshold survivability and the expected survivability, are introduced to help implement the survivable strategies. This new approach requires neither the knowledge of the probabilities of UUUR events nor an assignment of subjective probabilities to the events.