We use NSGA-III and MOPSO algorithms to solve a multi-objective X-bar control chart design problem. NSGA-III and MOPSO are modified to handle a constrained multi-objective problem with discrete and continuous variables. The goal is to find the optimal design that balances competing objectives such as minimizing the number of false alarms and maximizing the detection rate. The proposed approach is evaluated using a set of benchmark problems and compared to existing methods. The results show that the proposed approach outperforms existing methods in terms of solution quality and computational efficiency.