基于鞅论的时延性能分析
Delay Performance Analysis Based on Martingale Theory

为了更加精确地评估网络性能，本文引入了一种新的理论方法——鞅论，构建网络时延性能分析框架。通过鞅论建模时延，能够实现更加准确对网络性能的分析评估。在通信网络中，考虑单一业务到达通信系统的场景。在常速率服务机制下，分别建模泊松业务流以及马尔可夫业务流，基于鞅论进一步推导了时延违反概率。最后，通过设置不同的到达方式、服务参数，探索影响时延违反概率的因素，利用MATLAB仿真进行验证分析。
In order to evaluate network performance more accurately, this paper introduces a new theoretical method, martingale theory, to construct a network delay performance analysis framework. Through martingale theory and modeling delay, more accurate analysis and evaluation of network performance can be realized. In the communication network, the scenario in which a single service arrives at the communication system is considered. Under the constant-rate service mechanism, the Poisson service flow and Markov service flow are modeled respectively, and the delay violation proba-bility is further deduced based on the martingale theory. Finally, by setting different arrival modes and service parameters, the factors affecting the delay violation probability were explored, and MATLAB simulation was used for verification and analysis.