Crossover point analysis with Jensen-Shannon divergence lower bound for bi-objective reliability optimization of k-out-of-n system

Abstract

This research presents a new approach to analyze the reliability of a ‘k-out-of-n’ system by calculating lower bounds for system reliability incorporating Jensen–Shannon divergence information. The system’s reliability is computed using a crossover polynomial function that connects subsystems, and the design life of subsystems is determined for a given mission time. A bi-objective redundancy reliability model is proposed to enhance the system’s reliability at the lowest cost. The model uses Jensen–Shannon lower bound scores and a non-dominated search procedure to produce optimal system reliability and cost. Two algorithms are presented — one for subsystem characteristic analysis and the other for producing optimal system reliability and cost. The proposed algorithm is demonstrated through numerical illustrations.