Abstract: Highlights•A mathematical model is established for the multi-target search in swarm robotics.•A novel probabilistic finite state machine based search strategy (PFSMS) is proposed.•The PFSMS has the highest efficiency and best stability in all presented strategies.•With lots of robots, the efficiency of the PFSMS is close to the optimal value.•The PFSMS strikes a good balance between parallelism and cooperative capability.
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