引用本文:周炳海,宗师.冷链物流越库调度的拉格朗日松弛算法[J].控制理论与应用,2020,37(3):505~512.[点击复制]
ZHOU Bing-hai,ZONG Shi.Lagrangian relaxation algorithm for cross-dock scheduling & problems in cold-chain logistics[J].Control Theory and Technology,2020,37(3):505~512.[点击复制]
冷链物流越库调度的拉格朗日松弛算法
Lagrangian relaxation algorithm for cross-dock scheduling & problems in cold-chain logistics
摘要点击 2547  全文点击 1048  投稿时间:2019-03-24  修订日期:2019-07-01
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DOI编号  10.7641/CTA.2019.90176
  2020,37(3):505-512
中文关键词  越库调度  冷链物流  拉格朗日松弛  次梯度算法
英文关键词  corss-dock scheduling  cold-chain logistics  Lagrangian relaxation algorithm  Subgradient algorithm
基金项目  国家自然科学基金
作者单位E-mail
周炳海* 同济大学 bhzhou@tongji.edu.cn 
宗师 同济大学  
中文摘要
      为了解决越库(cross-docking)在冷链物流中的应用问题,提出了基于拉格朗日松弛算法的冷链物流的越库调度方法。首先进行了问题域的描述,并基于问题域以最小化卡车等待时间和越库内部运输成本为目标,建立越库调度的数学模型。然后,提出了针对越库调度模型的拉格朗日松弛算法,松弛复杂约束后根据决策变量将松弛问题分解为若干子问题,采用次梯度算法求解松弛模型。最后,对各种不同规模的越库模型进行仿真实验,并与传统的贪婪算法进行对比,结果表明,所提出的调度算法可以在较短时间内获得良好的近优解。
英文摘要
      In order to effectively solve the scheduling problems in cold-chain logistics, a scheduling method of cross-dock is proposed based on a Lagrangian relaxation algorithm. Firstly, a scheduling problem domain of cross-dock of cold-chain logistics is described and then a mathematical programming model is constructed with objectives of minimizing total truck waiting time and inner cross-dock transportation cost. A Lagrangian relaxation algorithm aiming at cross-dock scheduling is developed, which decomposes the relaxed problem into several sub-problems. A Subgradient algorithm is introduced to solve these sub-problems. Finally, simulation experiments of different problem scales are carried out to analyze the proposed algorithm and compared with a Greedy algorithm. Results indicate that the proposed algorithm can obtain satisfactory near-optimal solutions within the reasonable time.