A CONTROL THEORY BASED ANALYSIS OF REPAIRABLE SYSTEM

The paper studies a repairable system using control theory approach. A simple repairable model is proposed using Ordinary Differential Equations defined in terms of numbers of functioning and failed components at time t, failure rate, repair rate and time dependent controls. The objective of the analysis is to determine control trajectories that minimize the number of non-functioning components of the system and the cost of applying control. The optimality conditions of the proposed repair strategies are also investigated using Pontryagin's maximum principle. The model and its optimal control analysis for various parameter combinations are validated through simulation study.