This paper presents the reliability analysis of an energy management system in which the solar photovoltaic panels are modeled as a ‐out‐of‐: system. To address component failures and ensure continuous operation of the system, we developed a framework considering a repair strategy for failed panels and a dual replenishment process. The steady‐state probabilities of the system are evaluated explicitly. Key performance measures, along with some system distributions, are derived. We formulated a cost optimization problem, considering overall repair, replenishment, holding, and penalty costs. The robustness of the proposed strategy is examined using Tornado plot sensitivity analysis. Finally, the Morris method and one‐parameter variation approach are used to examine the impact of different parameters on the performance measures. Optimal values of decision variables are determined to achieve the trade‐off between system performance and economic efficiency.