This two-part paper aims to develop an environment-aware network-level design framework for generalized pinching-antenna systems to overcome the limitations of conventional link-level optimization, which is tightly coupled to instantaneous user geometry and thus sensitive to user mobility and localization errors. Part I investigates the traffic-aware case, where user presence is characterized statistically by a spatial traffic map and deployments are optimized using traffic-aware network-level metrics. Part II complements Part I by developing geometry-aware, blockage-aware network optimization for pinching-antenna systems in obstacle-rich environments. We introduce a grid-level average signal-to-noise (SNR) model with a deterministic LoS visibility indicator and a discrete activation architecture, where the geometry-dependent terms are computed offline in advance. Building on this model, we formulate two network-level activation problems: (i) average-SNR-threshold coverage maximization and (ii) fairness-oriented worst-grid average-SNR maximization. On the algorithmic side, we prove the coverage problem is NP-hard and derive an equivalent mix-integer linear programming reformulation through binary coverage variables and linear SNR linking constraints. To achieve scalability, we further develop a structure-exploiting coordinate-ascent method that updates one waveguide at a time using precomputed per-candidate SNR contributions. For the worst-grid objective, we adopt an epigraph reformulation and leverage the resulting monotone feasibility in the target SNR, enabling an efficient bisection-based solver with low-complexity feasibility checks over the discrete candidate set. Simulations results validate the proposed designs and quantify their gains under different environments and system parameters.

翻译：本系列论文旨在为广义夹持天线系统构建一个环境感知的网络级设计框架，以克服传统链路级优化的局限性——传统方法紧密耦合于瞬时用户几何分布，因而对用户移动性和定位误差极为敏感。第一部分研究了流量感知场景，其中用户存在性通过空间流量图进行统计表征，并采用流量感知的网络级指标优化部署方案。第二部分作为第一部分的补充，针对障碍物密集环境中的夹持天线系统，发展了几何感知、遮挡感知的网络优化方法。我们提出了一个网格级平均信噪比模型，该模型包含确定性的视距可见性指示器与离散激活架构，其中几何依赖项可预先离线计算。基于此模型，我们构建了两个网络级激活问题：(i) 平均信噪比阈值覆盖最大化；(ii) 面向公平性的最差网格平均信噪比最大化。在算法层面，我们证明了覆盖问题是NP难问题，并通过二元覆盖变量与线性信噪比关联约束推导出等效的混合整数线性规划重构形式。为实现可扩展性，我们进一步开发了一种结构利用型坐标上升法，该方法利用预计算的各候选信噪比贡献度，每次仅更新一个波导。针对最差网格目标函数，我们采用上镜图重构并利用目标信噪比中产生的单调可行性，从而构建了一个基于二分法的高效求解器，该求解器可在离散候选集上进行低复杂度的可行性检验。仿真结果验证了所提设计的有效性，并在不同环境与系统参数下量化了其性能增益。