考虑灾害时空演化特征的多阶段跨区域应急网络设计及其动态优化研究

Multi-Stage Cross-Regional Emergency Network Design and Dynamic Optimization under Disaster Spatiotemporal Evolution Characteristics

  • 摘要:
    目的 针对突发灾害管理中区域灾害损失的时空动态演化特征,以及由此引发的灾后应急需求与路段通行能力高度不确定性,
    方法 本文提出了一种集成智能预测和随机优化方法的多阶段跨区域应急响应网络设计框架(smart predict-then-optimize for multi-stage cross-regional emergency response network, SPO-MCERN)),以协同灾前备灾与灾后响应决策。首先,针对传统统计方法难以捕捉灾害损失复杂时空演化特征的不足,构建了融合一维卷积操作(1D-Conv)与多头自注意力机制(multi-head self-attention, MHSA)的混合深度学习预测模型Conv-MHSA。该模型利用构建的高维区域灾害特征集,通过对灾害时空演化局部及全局特征的提取和融合,实现了对区域灾害损失的高精度预测。其次,基于预测输出设计了包含地区修正与季节响应的动态评估机制,量化灾后动态需求与路段能力。最后,利用样本均值近似(sample average approximation, SAA)方法对SPO-MCERN模型进行重构,并提出了融合蒙特卡洛模拟与SAA的随机优化混合求解算法。
    结果 基于中国地震灾害历史数据的Conv-MHSA在预测精度、鲁棒性和整体性能方面有着显著优势。甘肃省的应急响应网络设计实证分析表明SPO-MCERN框架使网络设计和运输成本在时空演化条件下保持最优。
    结论 先预测后优化的协同决策机制相比于传统方案可以减少21.6%的冗余设施及物资部署成本,并对应减少25.9%的灾后运输与筹集成本,可为灾害跨区域应急决策提供科学支撑。

     

    Abstract:
    Objective To address the spatiotemporal dynamic evolution of regional disaster losses in sudden disaster management, as well as the resulting high uncertainty in post-disaster emergency demand and road segment capacity.
    Method This paper proposes an integrated intelligent prediction and stochastic optimization framework for multi-stage cross-regional emergency response network design, namely the smart predict-then-optimize for multi-stage cross-regional emergency response network (SPO-MCERN), to coordinate pre-disaster preparedness and post-disaster response decisions. First, to overcome the limitations of traditional statistical methods in capturing the complex spatiotemporal evolution of disaster losses, a hybrid deep learning prediction model, Conv-MHSA, is developed by integrating one-dimensional convolutional operations (1D-Conv) with a multi-head self-attention (MHSA) mechanism. Based on the constructed high-dimensional regional disaster feature set, the model employs an odd-even feature separation strategy for effective dimensionality reduction, thereby achieving high-accuracy prediction of regional disaster losses. Secondly, based on the prediction outputs, a dynamic assessment mechanism incorporating regional correction and seasonal response is designed to quantify post-disaster dynamic demand and road segment capacity. Finally, the SPO-MCERN model is reformulated using the sample average approximation (SAA) method, and a hybrid stochastic optimization algorithm combining Monte Carlo simulation and SAA is proposed.
    Result Based on the historical data of earthquake disasters in China, Conv-MHSA demonstrates significant advantages in terms of prediction accuracy, robustness and overall performance. The case study of the emergency response network design in Gansu Province shows that the SPO-MCERN framework enables the network design and transportation costs to remain optimal under the conditions of temporal and spatial evolution.
    Conclusion Compared with traditional approaches, the coordinated predict-then-optimize decision-making mechanism reduces redundant facility and material deployment costs by 21.6%, while correspondingly reducing post-disaster transportation and procurement costs by 25.9%. It can provide scientific support for cross-regional emergency decision-making in disaster scenarios.

     

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