Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 15 2 2024 02 01 Optimizing redundancy allocation problem with repairable components based on the Monte Carlo simulation 115 124 8443 10.22075/ijnaa.2024.31308.4608 EN Mohammadreza Shahriari Faculty of Industrial Management, South Tehran Branch, Islamic Azad University, Tehran, Iran Hajizadeh Peyman Faculty of Industrial Management, South Tehran Branch, Islamic Azad University, Tehran, Iran Arash Zaretalab Department of Business Management, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran Journal Article 2023 07 19 The optimization of reliability is crucial across various engineering domains. The redundancy allocation problem (RAP) is among the key challenges within reliability. This study introduces an RAP incorporating repairable components and a k-out-of-n sub-systems structure. The objective function aims to maximize system reliability while adhering to cost and weight constraints. The goal is to determine the optimal number of components for each subsystem, including the appropriate allocation of repairmen to each subsystem. Given that this model is classified as an Np-Hard problem, we employed a genetic algorithm (GA) to solve the proposed model. Additionally, response surface methodology (RSM) was utilized to fine-tune the algorithm parameters. To calculate the reliability of each subsystem, as well as the overall system reliability, a Monte Carlo simulation was employed. Lastly, a numerical example was solved to assess the algorithm's performance. https://ijnaa.semnan.ac.ir/article_8443_5da20dff0a8ad2ad393f20bae4e749b5.pdf