# Mobility-Assisted Digital Twin Network Optimization over Industrial Internet of Things
## 6 Conclusions  
In this paper, we design a mobility support data transmission scheme for D2D networks in terms of data rate and link quality. In the proposed system, multiple mobile nodes move around for sensing and collecting data and relay data to the relay node by D2D communication. We formulate the proposed system using the stochastic game theory to support multiple mobile nodes and derive the Nash equilibrium. The evaluation results demonstrate that mobile nodes in the proposed system yield a high sum data rate and maintain the quality of the D2D link. Furthermore, the simulation results show the effectiveness of our proposed scheme compared to other methods. These results have significant implications for practical industrial environments. For example, in a smart factory setting, the proposed method could improve the reliability of data transmission between mobile robots and IIoT devices, reducing downtime and ensuring more consistent real-time communication. In addition, the ability to maintain a high data rate under varying  
Figure 6: Average sum data rate for mobile nodes.  
Figure 7: Average number of links for mobile nodes.  
network conditions directly supports the efficiency of data-intensive operations, such as predictive maintenance and real-time monitoring in industrial systems.  
However, there are several limitations in the current study. First, while our simulation results show promising improvements, they are based on idealized scenarios that may not fully capture the complexities of real-world industrial environments. Factors such as unpredictable interference, hardware constraints, and real-time operational dynamics were not fully modeled in the simulations, and these factors could potentially affect the performance of the proposed scheme in practice. Additionally, our evaluation primarily focuses on performance metrics such as data rate and link quality, leaving room for further investigation of other important parameters like energy efficiency, scalability under varying network sizes, and security aspects of D2D communication.  
In future work, more extensive real-world testing and practical comparisons are proposed. We will improve our approach based on real-life feedback and further demonstrate the effectiveness of the proposed method in dynamic industrial environments. Furthermore, energy consumption can significantly affect long-term sustainability and performance. Thus, we will expand our study to address energy use more comprehensively. We will explore energy-efficient communication protocols and optimization strategies that reduce power consumption while maintaining high data rates and reliable connectivity.  
Conceptualization, S.L. and S.P.; methodology, S.L.; validation, S.L. and S.P.; writing--original draft preparation, S.L.; writing--review and editing, S.P.; supervision, S.P. All authors have read and agreed to the published version of the manuscript. This research received no external funding.  
Not applicable.  
The original contributions presented in the study are included in the article, further inquiries can be directed to the corresponding author.  
The authors declare no conflicts of interest.