Instead of physically visiting all locations of concern by manpower, unmanned aerial vehicles (UAVs) equipped with cameras are a low-cost low-carbon alternative to carry out monitoring tasks. When a UAV flies to conduct monitoring tasks, it does not have to fly at a fixed speed; instead, it should fly at lower speeds over objects of higher concerns and vice versa. This paper addresses the UAV planning problem with a focus on optimizing the speed profile. We propose an infinite-dimensional optimization model for the problem and transform the model into a linear programming formulation based on characteristics of the problem. Our case study shows the managerial insight that the UAV flies at low speeds on important segments of the path and at its highest speeds on less-important segments. This means more durable batteries should be designed for drones that need to carry out elaborated monitoring tasks. This finding further provides guidance for drone users when purchasing and renting drones.

配备了摄像头的无人驾驶飞机（UAV）可以代替人力亲自前往所有关注的地点，而是一种低成本，低碳的监视任务替代品。当无人机飞行执行监视任务时，它不必以固定速度飞行。相反，它应该以较低的速度飞过关注度较高的物体，反之亦然。本文着重于优化速度曲线来解决无人机计划问题。我们针对该问题提出了无限维优化模型，并将该模型根据问题的特征转换为线性规划公式。我们的案例研究显示了管理学的见识，即无人机在路径的重要部分以低速飞行，而在次要部分则以最高速度飞行。这意味着应该为需要执行详细监控任务的无人机设计更耐用的电池。该发现进一步为购买和租赁无人机的无人机用户提供了指导。