MoMA Algorithm: A Bottom-Up Modeling Procedure for a Modular System under Environmental Conditions

The functioning of complex systems relies on subsystems (modules) that in turn are composed multiple units. In this paper, we focus modular might fail due to wear their units or environmental conditions (shocks). lifetimes the follow a phase-type distribution, while shocks Markovian Arrival Process. use Matrix-Analytic methods and bottom-up approach for constructing system generator is proposed. structures, as well its implementation by Modular (MoMA) algorithm, make our methodology flexible adapting physical changes system, e.g., incorporation new modules into current model. After model built, seen ‘black box’, i.e., only contribution module whole performance considered. However, if required, method able keep track events within module, making it possible identify state individual Compact expressions different reliability measures obtained with proposed description, optimal maintenance strategies based critical operative states suggested, numerical application k-out-of-n structure developed.