Based on the periodic scheduling research of independent tasks on the star- based grid,a new topologyoptimization method including static and dynamic optimizations is proposed for the star- based grid by analyzing differentfeatures of grid platforms respectively in unsaturated,critical and redundant states,and a method to measure thecomputing capability and resource utilization of the star- based grid is put forward.Through the static optimization,the optimal grid topology structure is identified,and a method to build the optimal grid platform is presented.Through the dynamic optimization,the admittance strategies of a new node to the grid platform with the dynamictopology structure are discussed.Then,by mapping the computing capability to the dynamic loads,a dynamic opti-mization algorithm of grid topology structure is raised.Finally,the expansion strategy of grid platform is devised.