arXiv:2605.26763cs.LGcs.AI2026-05

用对抗学习提升关键设施选址在极端破坏下的鲁棒性。

Adversarial Training for Robust Coverage Network under Worst-case Facility Losses

论文配图:Adversarial Training for Robust Coverage Network under Worst-case Facility Losses
图 1 · 摘自论文原文
  • 双智能体强化学习模拟选址与破坏的动态对抗过程。
  • 新策略利用破坏智能体作为高保真代理,显著提升选址效率。
  • 适用于韧性基础设施规划,对复杂优化问题有普适潜力。

最大覆盖设施选址-干扰问题(MCLIP)是一个经典的双层优化问题,是韧性基础设施规划的基础,但计算上仍属难解。上层决定设施位置以最大化覆盖范围,下层执行最坏情况干扰以最小化覆盖。上下层间强耦合及各自高组合复杂性导致传统方法失效。为此,我们提出基于对抗学习的双智能体深度强化学习框架(DADRL),包含对应上层的选址智能体和对应下层的干扰智能体。贡献有三:(1) 选址智能体在动态演化的干扰智能体对抗中训练,有效捕捉上下层间的竞争互动;(2) 提出基于代理的集成推理策略,利用训练好的干扰智能体作为高保真代理,指导选址决策;(3) 在合成与真实数据集上的大量实验表明,该方法在保持优异解质量的同时,显著提升计算效率。此外,本框架对网络结构具有模型无关性,其对抗学习范式在解决其他双层优化问题方面展现出强大潜力。

原文摘要 · Abstract (English)

The Maximal Covering Location-Interdiction Problem (MCLIP) is a classic bi-level optimization problem, which is fundamental to resilient infrastructure planning yet remains computationally intractable. Specifically, the upper level determines facility locations to maximize coverage, while the lower level executes worst-case interdiction to minimize the coverage. The strong coupling between the upper and lower levels, combined with their respective high combinatorial complexity, renders traditional methods ineffective. To bridge this gap, we propose a Dual-Agent Deep Reinforcement Learning (DADRL) framework based on adversarial learning, comprising a location agent corresponding to the upper level and an interdiction agent corresponding to the lower level. Our contributions are threefold: (1) The location agent is trained simultaneously against an evolving interdiction agent, making it effectively capture the dynamic competitive interplay between the upper and lower levels; (2) To fully exploit the learned capabilities of the interdiction agent, we propose a Surrogate-based Ensemble Inference Strategy that utilizes the trained interdiction agent as a high-fidelity surrogate to guide the decisions of location agent; (3) Extensive experiments on synthetic and real-world datasets demonstrate that our approach achieves superior computational efficiency while maintaining highly competitive solution quality compared to other baselines. Furthermore, our DADRL framework is model-agnostic to network structures, while its underlying adversarial learning paradigm demonstrates strong potential for solving other bi-level optimization problems.

双层优化对抗学习选址规划鲁棒性

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