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中文摘要：
研究考虑蓄意攻击的第四方物流弹性网络设计问题．建立一个双层的第四方物流网络设计优化模型，上层模型确定网络结构，并在一定弹性水平下最小化网络成本，下层模型则通过选择攻击策略来最大化网络的攻击效果．设计了双层优化算法，上层概率解发掘算法求解网络设计问题，下层迭代局部搜索算法求解最优的攻击策略．最后，仿真实验结果表明模型的合理性和算法的有效性．
英文摘要：
Resilient network design of fourth party logistics with proactive attack is studied.A two-level optimization model for network design of fourth-party logistics is proposed, with the top-level model minimizing the total costs subject to the resilience constraint by determining the network topology and the down-level model maximizing the attack effect by selecting the attack strategy. A two-level optimization algorithm is developed to solve it, a probability solution discovery algorithm is used to solve the top-level model,and iterated local search is used to solve the down-level model. Finally, numerical experiments are presented and the results indicate the significance of the model as well as the effectiveness of the proposed algorithm.
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