The new algorithm significantly enhances the efficiency of simulating FRP and DT systems, addressing the computational challenges associated with traditional SSA, which can be slow for largescale or complex systems. By effectively leveraging the sparse and stochastic characteristics of FRP, the algorithm achieves faster simulations while maintaining high accuracy. However, its current ap-plicability is limited to simpler systems. For more complex processes, such as ATRP and RAFT, where the introduction of additional substances and dynamic changes in active radical concentrations further complicate the reaction mechanisms, the new algorithm faces challenges that require further investigation. Despite these limitations, the proposed method represents a meaningful advancement in the simulation of radical polymerization processes and offers a foundation for future developments in this field.