4.7 Article

Implicit Reward Structures for Implicit Reliability Models

期刊

IEEE TRANSACTIONS ON RELIABILITY
卷 72, 期 2, 页码 774-794

出版社

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TR.2022.3190915

关键词

Markov processes; Transient analysis; Synchronization; Petri nets; Context modeling; Analytical models; Absorption; Markov process; implicit modeling; reliability modeling; tensor trains

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A new methodology is proposed for the effective definition and efficient evaluation of dependability-related properties in systems composed of a large number of components. The focus is on component models that can be mapped to stochastic automata, and the new reward structure defined on each component's model is expressed through a newly introduced measure.
A new methodology for effective definition and efficient evaluation of dependability-related properties is proposed. The analysis targets the systems composed of a large number of components, each one modeled implicitly through high-level formalisms, such as stochastic Petri nets. Since the component models are implicit, the reward structure that characterizes the dependability properties has to be implicit as well. Therefore, we present a new formalism to specify those reward structures. The focus here is on component models that can be mapped to stochastic automata with one or several absorbing states so that the system model can be mapped to a stochastic automata network with one or several absorbing states. Correspondingly, the new reward structure defined on each component's model is mapped to a reward vector so that the dependability-related properties of the system are expressed through a newly introduced measure defined starting from those reward vectors. A simple, yet representative, case study is adopted to show the feasibility of the method.

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