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基于可变路网的灾后应急物资配送路径优化

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为研究灾后路网结构变化下的应急物资配送路径优化问题,考虑到道路受损及中断路段抢修,通过路网预处理得到不同时段下的受灾点间最短距离路径,以车辆启动成本和运输成本之和最小化为目标,构建含时间窗的灾后应急物资配送路径优化模型;以列生成和动态规划算法为基础,改进分支定价算法实现模型的精确求解;为加快算法求解,利用启发式取整法生成整数解上界以压缩解空间.研究结果表明:与优化求解器比较验证模型准确性和算法有效性,且模型充分考虑到路网结构变化,能够有效降低配送总成本,识别出关键抢修路段.研究结果可为灾后的应急方案制定提供参考.
Optimization of post-disaster emergency material distribution routes based on variable road networks
To study the optimization problem of emergency material distribution routes under post-disaster road network struc-ture change,considering the road damage and repair of interrupted sections,the shortest distance paths between disaster points at different time periods were obtained through road network preprocessing.With the objective of minimizing the sum of vehi-cle start-up costs and transportation costs,an optimization model of post-disaster emergency material distribution route with time windows was constructed.Based on the column generation and dynamic programming algorithms,the model is solved pre-cisely using an improved branch-and-price algorithm.To accelerate the solution process,the heuristic rounding method was u-tilized to generate the integer solution upper bounds to compress the solution space.The results show that the comparison with optimization?solver verifies the accuracy and algorithm effectiveness of model,and the model comprehensively considers the road network structure change,which can effectively reduce the total cost of distribution and identify the key repair sections.The research results can provide reference for the development of post-disaster emergency schemes.

emergency logisticsrouting problemvariable road networkbranch-and-price algorithmcolumn generation algorithm

狄卫民、张威风、李涛

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郑州大学 管理学院,河南 郑州450001

应急物流 路径问题 可变路网 分支定价算法 列生成算法

2024

中国安全生产科学技术
中国安全生产科学研究院

中国安全生产科学技术

CSTPCD北大核心
影响因子:1.119
ISSN:1673-193X
年,卷(期):2024.20(11)