Strategic defense and attack for reliability systems
Kjell Hausken ()
Reliability Engineering and System Safety, 2008, vol. 93, issue 11, 1740-1750
This article illustrates a method by which arbitrarily complex series/parallel reliability systems can be analyzed. The method is illustrated with the seriesâ€“parallel and parallelâ€“series systems. Analytical expressions are determined for the investments and utilities of the defender and the attacker, depend on their unit costs of investment for each component, the contest intensity for each component, and their evaluations of the value of system functionality. For a seriesâ€“parallel system, infinitely many components in parallel benefit the defender maximally regardless of the finite number of parallel subsystems in series. Conversely, infinitely many components in series benefit the attacker maximally regardless of the finite number of components in parallel in each subsystem. For a parallelâ€“series system, the results are opposite. With equivalent components, equal unit costs for defender and attacker, equal intensity for all components, and equally many components in series and parallel, the defender always prefers the seriesâ€“parallel system rather than the parallelâ€“series system, and converse holds for the attacker. Hence from the defender's perspective, ceteris paribus, the seriesâ€“parallel system is more reliable, and has fewer â€œcut setsâ€ or failure modes.
Keywords: Reliability theory; Game theory; Contest success function; Series/parallel system; Malicious acts (search for similar items in EconPapers)
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