1.昆明理工大学信息工程与自动化学院,云南昆明 650500
2.云南省人工智能重点实验室,云南昆明 650500
[ "杨绍文 男,1995年出生,云南大理人,硕士研究生,目前研究方向为复杂系统智能优化. E-mail: yswkust@163.com" ]
[ "钱 斌 男,1976年出生,云南曲靖人,教授,博士生导师,目前研究方向为智能调度理论与方法. E-mail: bin.qian@vip.163.com" ]
[ "胡 蓉 女,1973年出生,贵州安顺人,副教授,硕士生导师,目前研究方向为优化方法与决策支持系统. E-mail: ronghu@vip.163.com" ]
[ "张梓琪 男,1989年出生,云南曲靖人,博士研究生,目前研究方向为智能算法与优化调度. Email:768894018@qq.com" ]
收稿:2022-08-01,
修回:2023-02-18,
纸质出版:2024-03-25
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杨绍文,钱斌,胡蓉,等.混合三维分布估计算法求解分布式加工装配和车辆配送集成调度问题[J].电子学报,2024,52(03):909-923.
YANG Shao-wen, QIAN Bin, HU Rong, et al.Hybrid Three-Dimensional Estimation of Distribution Algorithm for Integrated Scheduling Problem of Distributed Production Assembly and Vehicle Delivery[J].Acta Electronica Sinica, 2024, 52(03): 909-923.
杨绍文,钱斌,胡蓉,等.混合三维分布估计算法求解分布式加工装配和车辆配送集成调度问题[J].电子学报,2024,52(03):909-923. DOI:10.12263/DZXB.20220908
YANG Shao-wen, QIAN Bin, HU Rong, et al.Hybrid Three-Dimensional Estimation of Distribution Algorithm for Integrated Scheduling Problem of Distributed Production Assembly and Vehicle Delivery[J].Acta Electronica Sinica, 2024, 52(03): 909-923. DOI:10.12263/DZXB.20220908
本文针对一类广泛存在的分布式加工装配和车辆配送集成调度问题(Integrated Scheduling Problem of Distributed Production Assembly and Vehicle Delivery,ISP_DPAVD),以最小化运输和延迟惩罚总成本为优化目标,提出一种混合三维分布估计算法(Hybrid three-Dimensional Estimation of Distribution Algorithm,H3DEDA)进行求解.ISP_DPAVD包含两个耦合的子问题,即加工装配阶段子问题(子问题1)和车辆配送阶段子问题(子问题2).由于每个子问题1的解(部分解1)均会确定1个具体的子问题2,故ISP_DPAVD的解空间非常庞大.根据这一特点,在H3DEDA中,先设计结合邻域变换的启发式规则来快速获取子问题2的优良解,以实现子问题间的部分解耦并明显缩减搜索空间,再设计三维EDA引导的全局搜索和变邻域驱动的局部搜索来获取ISP_DPAVD的高质量解.通过在不同规模测试问题上的仿真实验和算法比较,验证了H3DEDA求解ISP_DPAVD的有效性.
This paper proposes a hybrid three-dimensional distribution estimation algorithm (H3DEDA) to minimize the total cost of transportation and delay penalties for a kind of widely existed integrated scheduling problem (ISP_DPAVD)
which includes two coupled subproblems
i.e.
the subproblem in the production and assembly stage (subproblem 1) and the subproblem in the vehicle distribution stage (subproblem 2). Since each solution of subproblem 1 determines a specific subproblem 2
the solution space of the ISP_DPAVD is very large. According to this characteristic
in H3DEDA (Hybrid three-Dimensional Estimation of Distribution Algorithm)
the heuristic rules combined with neighborhood transformation are designed to quickly obtain the excellent solution of subproblem 2
so as to achieve partial decoupling between subproblems and significantly reduce the search space. Then
the global search guided by three-dimensional EDA and the local search driven by variable neighborhood operations are devised to acquire high-quality solution for the ISP_DPAVD. Simulation experiments and comparisons on the test problems with different scales verify the effectiveness of H3DEDA in solving ISP_DPAVD.
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