## 1 Introduction  
With the rise and expansion of the internet, the content of information services has gradually become rich and diverse, and network traffic, application data, and service demands have all shown explosive growth. Traditional terrestrial networks cannot meet the needs of users in remote areas, at sea, and in the air. Satellite network can solve this problem by taking advantage of its large capacity, no geographical influence, and full global coverage. With the expansion of cloud services, the resources required for business and applications are gradually concentrated on the platform-based cloud. The traditional network organization form, with a basic network and physical connections at the core, cannot provide the network capabilities of dynamic elasticity with cloud resources. Therefore, cloud-network-integrated technology is an important trend in future network development. It breaks the relative independence and isolation of the existing cloud and network, and integrates underlying facilities and resource scheduling to achieve elastic allocation of computing and storage. Simultaneously, it can support flexible orchestration management according to diverse needs. Cloud-network integration can help ordinary users use satellite data more efficiently. The cloud management method can make effective use of network resource and satisfy different types of services for users. The combination of satellite networks and cloud computing technology aims to organically integrate satellite communications with cloud computing platforms to provide broader and more flexible communication and computing services. Figure 1 is a schematic diagram of a cloud-network-integrated satellite network, which consists of satellites, satellite computing modules, and communication transponder units. This integration can provide more powerful support for remote sensing, Internet of Things, communications, meteorology, and other fields. However, satellite resource allocation problems are usually affected by the dynamics of networks and satellite systems, such as fluctuations in communication link conditions, time-varying user needs, and changes in satellite locations. Cloud-network integration makes the resource allocation problem more complex because it involves the integration of satellite, cloud, and terrestrial networks. Satellite resource allocation under cloud-network integration requires management across multiple levels of ground network, satellite network, and cloud computing, which increases the complexity of resource allocation. In addition, cloud computing is usually concentrated in data centers on the ground, while satellite communications involve the propagation of signals on the ground and satellites, which may result in higher delay. The introduction of network function virtualization enables resources to be allocated and managed more flexibly. This provides edge computing nodes and cloud computing centers on satellites with higher resource utilization and manageability while also reducing latency. At present, research on satellite resource allocation under cloud-network integration mainly focuses on delay optimization, bandwidth management, edge computing, and  
Figure 1: The cloud-network-integrated satellite network. This figure shows the overall architecture of a cloud network integrated satellite network, including satellites, satellite computing modules, ground networks, and ground computing centers. cloud collaboration. Researchers are committed to designing new architectures and strategies to reduce data transmission and processing delays to meet real-time requirements for applications such as telemedicine. Researchers are committed to intelligently allocating bandwidth in a cloud-network integration environment to adapt to the bandwidth requirements of different applications and improve the overall efficiency of the system.