On several properties of uniformly optimal search plans

The uniformly optimal search plan is a cornerstone of the optimal search theory. It is well-known that when the target distribution is circular normal and the detection function is exponential, the uniformly search plan has several desirable properties. This article establishes that these properties hold for any continuous target distribution. The results provide useful information to the search team when they need to choose a non-circular normal target distribution in a real-world search mission.