Filterless optical networks use passive splitters and combiners with coherent optics, providing wavelength selection in the digital domain, while forming a passive fiber-tree topology between nodes. In this study, we investigate the optimal design of filterless optical networks while minimizing the number of required wavelengths. We propose a Dantzig–Wolfe decomposition model in which each subproblem aims to generate a potential filterless optical subnetwork, with a directed tree topology. The master problem then selects the best combination of subnetworks. Numerical experiments demonstrate significant performance improvement over previous work, reducing previous computational results by a factor of 2 to 10, depending on the size of the data instances.

中文翻译：

---

用于无滤波器光网络设计的 Dantzig-Wolfe 分解

无滤波器光网络使用具有相干光学的无源分路器和合路器，在数字域中提供波长选择，同时在节点之间形成无源光纤树拓扑。在这项研究中，我们研究了无滤波器光网络的优化设计，同时最大限度地减少了所需波长的数量。我们提出了一个 Dantzig-Wolfe 分解模型，其中每个子问题旨在生成一个潜在的无滤波器光学子网络，具有有向树拓扑结构。主问题然后选择子网的最佳组合。数值实验表明，与之前的工作相比，性能有了显着的提升，将之前的计算结果减少了 2 到 10 倍，具体取决于数据实例的大小。