Abstract: Aiming at the problem that the traditional target assignment algorithm cannot solve the portfolio planning problem of largescale resourcetarget assignment, a new algorithm based on mathematical induction is proposed. Firstly, the mathematical model of target assignment under the same resource condition is established. Then, the optimal assignment scheme is selected from the preassignment scheme of each iteration. The search space and computational complexity are greatly reduced by means of preassignment of resources. In order to verify the collaborative area search of unmanned aircraft vehicles, comparative experiments and performance experiments are designed respectively. The experimental results demonstrate that the new algorithm can obtain a global optimal solution and solve largescale assignment in realtime.