This paper addresses the open vehicle routing problem with time window(OVRPTW), where each vehicle does not need to return to the depot after completing the delivery task.The optimization objective is to minimize the ...This paper addresses the open vehicle routing problem with time window(OVRPTW), where each vehicle does not need to return to the depot after completing the delivery task.The optimization objective is to minimize the total distance. This problem exists widely in real-life logistics distribution process.We propose a hybrid column generation algorithm(HCGA) for the OVRPTW, embedding both exact algorithm and metaheuristic. In HCGA, a label setting algorithm and an intelligent algorithm are designed to select columns from small and large subproblems, respectively. Moreover, a branch strategy is devised to generate the final feasible solution for the OVRPTW. The computational results show that the proposed algorithm has faster speed and can obtain the approximate optimal solution of the problem with 100 customers in a reasonable time.展开更多
针对物流部门中出现的时间窗和车辆限制的开放性车辆线路问题(open vehicle routing problem with time window and vehicle limits,m-OVRPTW),提出基于禁忌搜索算法的线路规划方案。对问题进行数学建模;通过设计4种邻域变化规则、设定...针对物流部门中出现的时间窗和车辆限制的开放性车辆线路问题(open vehicle routing problem with time window and vehicle limits,m-OVRPTW),提出基于禁忌搜索算法的线路规划方案。对问题进行数学建模;通过设计4种邻域变化规则、设定多个禁忌长度来改进局部搜索,快速得到高质量近似解,解决m-OVRPTW问题;通过反复选取车辆数量,解决OVRPTW问题。用56组Solomon基准测试数据(VRPTW benchmark problem)进行测试,测试结果表明,将禁忌搜索算法应用在开放性车辆线路问题中取得了较好成果,其在最小车辆数量、最小车辆行程、平均车辆总行程等方面的表现都优于其它算法。展开更多
带二维装箱约束的绿色开放式车辆路径问题(green open vehicle routing problem with twodimensional loading constraints,2L-GOVRP)是绿色开放式车辆路径问题和二维装箱问题的集成。以最小化燃油消耗量为优化目标建立了2L-GOVRP模型,...带二维装箱约束的绿色开放式车辆路径问题(green open vehicle routing problem with twodimensional loading constraints,2L-GOVRP)是绿色开放式车辆路径问题和二维装箱问题的集成。以最小化燃油消耗量为优化目标建立了2L-GOVRP模型,并提出一种两阶段优化算法(two stage optimization algorithm,TSOA)进行求解。TSOA的第一阶段,针对车辆路径问题,设计自适应鲸鱼优化算法(adaptive whale optimization algorithm,AWOA)进行求解,从而确定车辆初步配送路径(即2L-GOVRP的初始解),并采用4种变邻域局部操作进行局部搜索。TSOA的第二阶段,针对二维装箱问题,设计融入扰动机制的天际线填充算法(skyline filling algorithm combined with disturbance mechanism,SFA-DM)优化装箱过程,从而确保所有货物能够合理装箱。通过对不同客户规模测试数例的仿真实验和算法比较,验证了TSOA可有效求解2L-GOVRP。展开更多
基金supported by the National Natural Science Foundation of China (61963022,51665025,61873328)。
文摘This paper addresses the open vehicle routing problem with time window(OVRPTW), where each vehicle does not need to return to the depot after completing the delivery task.The optimization objective is to minimize the total distance. This problem exists widely in real-life logistics distribution process.We propose a hybrid column generation algorithm(HCGA) for the OVRPTW, embedding both exact algorithm and metaheuristic. In HCGA, a label setting algorithm and an intelligent algorithm are designed to select columns from small and large subproblems, respectively. Moreover, a branch strategy is devised to generate the final feasible solution for the OVRPTW. The computational results show that the proposed algorithm has faster speed and can obtain the approximate optimal solution of the problem with 100 customers in a reasonable time.
文摘针对物流部门中出现的时间窗和车辆限制的开放性车辆线路问题(open vehicle routing problem with time window and vehicle limits,m-OVRPTW),提出基于禁忌搜索算法的线路规划方案。对问题进行数学建模;通过设计4种邻域变化规则、设定多个禁忌长度来改进局部搜索,快速得到高质量近似解,解决m-OVRPTW问题;通过反复选取车辆数量,解决OVRPTW问题。用56组Solomon基准测试数据(VRPTW benchmark problem)进行测试,测试结果表明,将禁忌搜索算法应用在开放性车辆线路问题中取得了较好成果,其在最小车辆数量、最小车辆行程、平均车辆总行程等方面的表现都优于其它算法。
