[论文解读] Roulette-Wheel Selection-Based PSO Algorithm for Solving the Vehicle Routing Problem with Time Windows

Gautam Siddharth Kashyap, Alexander E. I. Brownlee+3 more|arXiv (Cornell University)|Jun 4, 2023

Vehicle Routing Optimization Methods被引用 42

一句话总结

本论文提出基于轮盘赌选择的粒子群优化（RWPSO）来解决VRPTW，并在Solomon基准数据集上与最先进方法相比，展示了具有竞争力的性能。

ABSTRACT

The well-known Vehicle Routing Problem with Time Windows (VRPTW) aims to reduce the cost of moving goods between several destinations while accommodating constraints like set time windows for certain locations and vehicle capacity. Applications of the VRPTW problem in the real world include Supply Chain Management (SCM) and logistic dispatching, both of which are crucial to the economy and are expanding quickly as work habits change. Therefore, to solve the VRPTW problem, metaheuristic algorithms i.e. Particle Swarm Optimization (PSO) have been found to work effectively, however, they can experience premature convergence. To lower the risk of PSO's premature convergence, the authors have solved VRPTW in this paper utilising a novel form of the PSO methodology that uses the Roulette Wheel Method (RWPSO). Computing experiments using the Solomon VRPTW benchmark datasets on the RWPSO demonstrate that RWPSO is competitive with other state-of-the-art algorithms from the literature. Also, comparisons with two cutting-edge algorithms from the literature show how competitive the suggested algorithm is.

研究动机与目标

• 推动求解VRPTW以降低物流成本，同时满足时间窗和容量限制。
• 解决在求解VRPTW时PSO的早熟收敛问题。
• 引入一种新颖的RWPSO方法以改善探索-利用之间的平衡。
• 在标准Solomon VRPTW基准上验证RWPSO的性能，并与现有算法进行比较。

提出的方法

• 通过将轮盘赌选择机制集成到PSO中以缓解早熟收敛来开发RWPSO。
• 将RWPSO应用于具有时间窗和车辆容量约束的VRPTW问题。
• 使用Solomon VRPTW基准数据集进行计算实验。
• 将RWPSO与文献中的最先进算法以及两种前沿方法进行比较。

实验结果

研究问题

• RQ1 相较于现有基于PSO的方法及其他元启发式方法，RWPSO是否能提高VRPTW的解质量？
• RQ2 RWPSO是否能在保持计算效率的同时更好地缓解VRPTW的早熟收敛？
• RQ3 在标准Solomon VRPTW实例中，RWPSO相对于领先算法的表现如何？
• RQ4 哪些因素是RWPSO在VRPTW中具有竞争力表现的主要贡献？

主要发现

• RWPSO在Solomon基准数据集上与最先进的VRPTW算法具有竞争力。
• RWPSO相对于兩种前沿文献算法展现出有利的性能。
• 轮盘赌轮修改有助于解决VRPTW问题中PSO的早熟收敛。
• RWPSO在整个优化过程保持了有效的探索与利用之间的平衡。
• 计算实验验证RWPSO在SCM和物流调度情境中的适用性。