Trailer pick-up tractor routing problem with timeliness requirement and solving
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摘要: 针对时效要求下的甩挂牵引车调度问题, 以整车运输和多对多运输需求为基本特征, 以货运吨公里CO_2排放量为目标函数, 构建了混合整数规划模型, 设计了基于节约算法和邻域搜索算法的两阶段启发式算法, 进行了带有时间窗的既有算例的求解。计算结果表明: 启发式算法所得满意解对基准算例1~12初始解的优化率分别为4.21%、2.06%、2.70%、3.87%、2.03%、3.54%、2.23%、3.35%、1.54%、2.11%、1.58%、0.81%, 平均水平为2.50%;最优解分别为101.22、107.05、106.21、103.94、116.23、103.16、102.61、102.14、101.05、103.38、103.69、100.54g·(t·km)-1, 平均值为104.27g·(t·km)-1, 因此, 本文所构建的混合整数规划模型与启发式算法是可行和有效的, 时效要求下的甩挂牵引车调度优化可产生良好的节能减排效果。Abstract: Aiming at trailer pick-up tractor routing problem with timeliness requirement, fulltruck load transportation and many to many transportation demand were taken as basic characteristics, CO_2 emissions per ton-kilometer of freight transportation was taken as objective function, and a mixed integer programming model was built.A two-stage heuristic algorithm was designed based on saving algorithm and local search algorithm, and some known instances with time windows were solved.Calculation result shows that compared to the initial solutions of benchmark instances 1-12, the optimization rates of satisfactory solutions are 4.21%, 2.06%, 2.70%, 3.87%, 2.03%, 3.54%, 2.23%, 3.35%, 1.54%, 2.11%, 1.58%, and 0.81%respectively, and the average level is 2.50%, the optimum solutions are 101.22, 107.05, 106.21, 103.94, 116.23, 103.16, 102.61, 102.14, 101.05, 103.38, 103.69, and 100.54g·(t·km)-1respectively, and the average value is 104.27 g·(t·km)-1.Obviously, the mixed integer programming model and the heuristic algorithm are feasible and effective, and the optimization of trailer pick-up tractor routing with prescription requirement can produce good energy saving and emission reduction effect.
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表 1 牵引车基本参数
Table 1. Basic parameters of tractor
表 2 基准算例的计算结果
Table 2. Calculation results of benchmark instances
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