Hierarchical Model of Unreliable Systems in Comparison to an Anti-Fragile Replacement System

A hierarchical production mega-system is modeled with a pyramid architecture in which dependent systems on different levels experience stochastic partial failures, with faults below causing partial collapses of system integrity above. Time series process traces simulate the progressive degradation of the complete system. Various probability density functions are rotated as reliability functions, and alternative candidate inter-system dependency functions are utilized in the search for realistic modeling of hierarchical production mega-systems. Stochastic systemic behaviors are explored, in the search for viable models of progressive probabilistic degradation. Anti-fragile system substitutes are investigated as possible substitutes.