## 1 Introduction
This gap limits the ability to fully visualize the entire operational process of carrier-based aircraft, thereby complicating the verification of the overall accuracy and effectiveness of aircraft transfer, guidance, and control. [PERSON] et al. [16] employed Unreal Engine 4 (UE4) to develop a landing visualization system for carrier-based aircraft, allowing for real-time monitoring of the aircraft's landing status. [PERSON] [17] developed a shipborne helicopter group scheduling simulation system using the UE, which provides real-time feedback on the status of group scheduling. Additionally, [PERSON] et al. [11] developed a visual simulation platform for the operational support process of carrier-based aircraft. [PERSON] [14] and [PERSON] [15] designed a virtual simulation system for the departure of carrier aircraft. [PERSON] [18] created a simulation system for carrier aircraft transfer on the deck using semi-physical simulation technology. [PERSON] [19] developed a carrier aircraft scheduling simulation system based on MES (Manufacturing Execution System) technology. [PERSON] et al. [12] integrated real-world testing and virtual simulation technology through the use of LVC (Live-Virtual-Constructive), thereby reducing testing costs. [PERSON] et al. [20] further advanced this approach by designing and developing a combat command training system based on LVC technology. They employed interface programming and dynamic QoS (Quality of Service) technology to facilitate the encapsulation and integration of the digital engineering model. The aforementioned research provides a diverse range of technical approaches for simulating complex systems across various scenarios. However, the visualization of carrier-based aircraft scheduling involves multiple dynamic factors, such as changes in the state of the aircraft and real-time feedback on these changes. Existing platforms, however, are insufficient in integrating complex scenarios and providing real-time feedback, as shown in Table 1.  
The visualization method for carrier aircraft scheduling and dispatching in the simulation of surface aviation support tasks establishes an integrated technical framework that achieves comprehensive, standardized, and realistic real-time representation through three key innovations. A two-tier genetic algorithm (GA)-based scheduling model is proposed to coordinate global planning and dynamic execution optimization for carrier-based aircraft operations. By introducing a hierarchical decision-making mechanism at the strategic and tactical levels, the model achieves globally optimal scheduling solutions while ensuring adaptability to real-time operational uncertainties. A systematic constraint integration framework is developed by incorporating critical operational rules--including aircraft taxiing dynamics, deck spatial constraints, and safety clearance requirements--into the scheduling system. This approach significantly enhances the engineering applicability and tactical feasibility of scheduling schemes compared to prior studies that overlooked these multidimensional constraints. An integrated virtual-physical simulation architecture is designed, combining virtual reality interaction technology with semi-physical hardware