基于Q学习超启发算法的混合车队同时取送货问题研究OA
Research on Simultaneous Pickup and Delivery Problem of Mixed Fleet Based on Q-Learning Hyper-Heuristic Algorithm
电动车辆的能量约束、车辆行驶的动态能耗、客户的时间窗等因素,使得混合车队同时取送货问题的路径规划和配送优化更具复杂性和挑战性.针对该问题,为实现最低的运营成本和最佳的客户平均满意度,建立了双目标混合整数优化模型,提出了一种集成Q学习机制与超启发式搜索框架的方法,并利用问题的特征知识,引导生成高质量的初始解,以提升求解效率.通过数值实验对模型与算法进行验证,结果表明:模型中的运营成本目标与客户平均满意度目标之间存在冲突,所提出的算法可以在多种类型算例中配置运行,并且能够在保证解集均匀分布的同时,覆盖更广泛的目标空间,与传统方法相比,所提出的算法有效地权衡了运营成本和客户平均满意度两个目标.研究表明,提出的模型与算法适用于不同规模的配送情况,为企业降低运营成本并提升客户平均满意度,提供了新的理论支持与优化工具.
Considering factors such as energy constraints of electric vehicles,dynamic energy consumption during vehicle operation,and time window of customers,the routing and distribution optimization of a heterogeneous fleet for simultaneous pickup and delivery becomes increasingly complex and challenging.To address this problem,a bi-objective mixed-integer optimization model is developed with the goals of minimizing operating costs and maximizing customer satisfaction.A method integrating the Q-learning mechanism and the super-heuristic search framework is proposed,and the problem fea-ture knowledge is utilized to guide the generation of high-quality initial solutions,thereby improving the solution efficiency.Numerical experiments are conducted to validate the proposed model and algorithm.The results show that there is a con-flict between the operational cost objective and the customer satisfaction objective in the model.The proposed algorithm can be configured and run in various types of examples,and can cover a wider target space while ensuring the uniform dis-tribution of the solution set.Compared with traditional methods,the proposed algorithm effectively balances the two goals of operating costs and customer satisfaction.Research shows that the proposed model and algorithm are applicable to distribution scenarios of different scales,providing new theoretical support and optimization tools for enterprises to reduce operating costs and enhance customer satisfaction.
李梦珂;姚冠新;徐静;戴盼倩
江苏大学 管理学院,江苏 镇江 212013扬州大学 商学院,江苏 扬州 225009扬州大学 商学院,江苏 扬州 225009扬州大学 商学院,江苏 扬州 225009
管理科学
混合车队同时取送货Q学习超启发算法
mixed fleetsimultaneous pickup and deliveryQ-learninghyper-heuristic algorithm
《计算机工程与应用》 2026 (19)
372-387,16
国家自然科学基金(72373129)教育部人文社会科学研究基金(23YJC630025).
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