Flying Base Station (FBS) is an evolving technology, providing wireless services to ground and aerial users. With the help of this system, the service required by users can be provide with very high speed and low cost. Since pre-created structures are not require in these systems, this feature helps provide facilities in many scopes and difficult conditions. FBSs can carry a variety of equipment, so they can play a role in a variety of wireless communication networks. Meanwhile, the limited power of this equipment has led to the importance of optimizing the power consumption in this equipment. In this paper, we discuss the joint optimization of three-dimensional deployment and FBS trajectory under Backhaul constraints. We formulate the p-median model to optimize the deployment of the FBS and examined the effect of the number of candidate points and the coverage factor of the users in optimizing the minimum number of FBS required. In this paper, the height of FBSs is optimized to reduce transmission power consumptions, and finally, the 3D position of the FBS is present. Due to the high mobility of users and the need to relocate FBSs, we use the transportation model method to optimize the FBSs trajectory to reduce their power consumptions. In this model, a method is propose to calculate the optimal transit path for the FBS trajectory between two-time slots. Numerical results show that the proposed method can simultaneously minimize the number of FBSs and their power consumptions and determine an optimal path for their trajectory.

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