Abstract
Network-type systems with binary components have important structural parameters known in literature as Signature, Internal Distribution, D-spectra and BIM-spectra. The knowledge of these parameters allows obtaining the probabilistic description of network behaviour in the process of their component failures, and probabilistic description of such network parameters as resilience, component importance, system failure probability as a function of component failure probability q, and the approximation to reliability if q tends to 0. When the network has many components, the exact calculation of Signatures or D-spectra becomes a very complicated issue. We suggest using efficient Monte Carlo procedures. All relevant calculations are illustrated by examples of networks, including flow in random networks and network structural comparison in the process of network gradual destruction process.
Prof. Gertsbakh has sadly passed away prior to the publication of this manuscript.
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Gertsbakh, I., Shpungin, Y. (2021). Network Invariants and Their Use in Performability Analysis. In: Misra, K.B. (eds) Handbook of Advanced Performability Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-55732-4_10
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DOI: https://doi.org/10.1007/978-3-030-55732-4_10
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