School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou, Gansu, China.
School of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha, Hunan, China.
PLoS One. 2018 Mar 8;13(3):e0193789. doi: 10.1371/journal.pone.0193789. eCollection 2018.
To identify electrical vehicle (EV) distribution paths with high robustness, insensitivity to uncertainty factors, and detailed road-by-road schemes, optimization of the distribution path problem of EV with multiple distribution centers and considering the charging facilities is necessary. With the minimum transport time as the goal, a robust optimization model of EV distribution path with adjustable robustness is established based on Bertsimas' theory of robust discrete optimization. An enhanced three-segment genetic algorithm is also developed to solve the model, such that the optimal distribution scheme initially contains all road-by-road path data using the three-segment mixed coding and decoding method. During genetic manipulation, different interlacing and mutation operations are carried out on different chromosomes, while, during population evolution, the infeasible solution is naturally avoided. A part of the road network of Xifeng District in Qingyang City is taken as an example to test the model and the algorithm in this study, and the concrete transportation paths are utilized in the final distribution scheme. Therefore, more robust EV distribution paths with multiple distribution centers can be obtained using the robust optimization model.
为了确定具有高鲁棒性、对不确定性因素不敏感且详细到每条道路的电动汽车(EV)分布路径,有必要对具有多个配送中心并考虑充电设施的 EV 配送路径问题进行优化。以运输时间最小化为目标,基于 Bertsimas 的鲁棒离散优化理论,建立了一种具有可调鲁棒性的 EV 配送路径鲁棒优化模型。还开发了一种增强的三段式遗传算法来求解该模型,使得最优配送方案最初使用三段式混合编码和解码方法包含所有逐路路径数据。在遗传操作过程中,对不同的染色体进行不同的交叉和变异操作,而在种群进化过程中,会自然避免不可行解。以庆阳市西峰区部分路网为例,对所研究的模型和算法进行了测试,最终配送方案中使用了具体的运输路径。因此,使用鲁棒优化模型可以得到具有多个配送中心的更鲁棒的 EV 配送路径。