Bandwidth-based models are widely used for traffic signal coordination. Maxband-based integer linear programming is the most popular and practical method of obtaining the maximum bandwidth solution and researchers have been making continuous improvements to it for decades. However, the impacts of the parameters of the model determine (i) whether the parameter needs to be optimised and (ii) whether the optimisation results are strictly optimal, and have not yet been well explained. To analyse specifically the impacts of the relevant parameters on bandwidth, this study focuses on two adjacent intersections to establish a general mathematical description, including the parameters cycle, split, travel time, phase sequence, and offset, and further characterises the bandwidth versus relative offset relationship. The authors analyse the bandwidth solutions obtained with different relative offsets and the effects of parameters on the through-band. The results of the proposed model provide a reasonable interpretation of parameter optimisation strategies in bandwidth-based models, reveal the possibility for better offset transitioning, and promote awareness of the issues involved in applying Maxband-based models.

中文翻译：

---

基于设置操作的两个相邻交叉口的带宽优化和参数分析

基于带宽的模型被广泛用于交通信号协调。基于最大带宽的整数线性规划是获得最大带宽解决方案的最流行和最实用的方法，几十年来研究人员一直在不断对其进行改进。但是，模型参数的影响决定了（i）是否需要优化参数，以及（ii）优化结果是否严格最优，并且尚未得到很好的解释。为了专门分析相关参数对带宽的影响，本研究着重于两个相邻的交叉点以建立一般的数学描述，包括参数循环，分割，行进时间，相序和偏移，并进一步表征带宽与相对偏移的关系。关系。作者分析了具有不同相对偏移量的带宽解决方案以及参数对通带的影响。所提出模型的结果为基于带宽的模型中的参数优化策略提供了合理的解释，揭示了更好的偏移过渡的可能性，并提高了对应用基于Maxband的模型所涉及问题的认识。