This paper presented a simulation-based genetic algorithms (GAs) approach in solving a multi-attribute combinatorial dispatching (MACD) decision problem in a flow shop with multiple processors (FSMP) environment. The simulation is capable of modeling non-linear and stochastic problem. GA is a proven tool in solving a complex optimization problem. The proposed GAs simulation approach addressed a complex MACD problem by solving a case study from multi-player ceramic capacitor (MLCC) manufacturing. Empirical results illustrated both the effectiveness and efficiency of the proposed methodology In solving the MACD problem. Managerial insights are drawn form the case study results and future research direction is discussed.