Journal of Computer Applications ›› 2026, Vol. 46 ›› Issue (7): 2216-2228.DOI: 10.11772/j.issn.1001-9081.2025060760
• Advanced computing • Previous Articles
Zichen TIAN, Qinming LIU(
), Chunming YE, Yujie WANG
Received:2025-07-11
Revised:2025-10-22
Accepted:2025-10-29
Online:2025-11-05
Published:2026-07-10
Contact:
Qinming LIU
About author:TIAN Zichen, born in 2002, M. S. candidate. His research interests include location planning.Supported by:通讯作者:
刘勤明
作者简介:田梓琛(2002—),男,河北保定人,硕士研究生,主要研究方向:选址规划基金资助:CLC Number:
Zichen TIAN, Qinming LIU, Chunming YE, Yujie WANG. Location optimization model for ride-hailing vehicle charging stations considering temporal variability[J]. Journal of Computer Applications, 2026, 46(7): 2216-2228.
田梓琛, 刘勤明, 叶春明, 汪宇杰. 考虑时间差异性的网约车充电站选址优化模型[J]. 《计算机应用》唯一官方网站, 2026, 46(7): 2216-2228.
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URL: https://www.joca.cn/EN/10.11772/j.issn.1001-9081.2025060760
| 符号 | 含义 |
|---|---|
| 位置 | |
| 在时段 | |
| 在时段 | |
| 充电站 | |
| 在时段 | |
| 需求点 | |
| 时段 | |
| 时段 | |
| 时段 | |
| 未覆盖需求的惩罚系数,主要平衡空驶时间与需求满足度。通过调参(如0.5~2.0)可在“降低空驶时间”和“保障需求覆盖”之间权衡 | |
| 司机每分钟空驶时间的边际成本 | |
| 高难度区域未覆盖每辆车的社会成本 | |
| 允许建设的最大充电站总数 | |
| 充电站最低利用率阈值(如 | |
| 第 | |
| 分区 | |
| 总充电需求 | |
| 单站平均服务能力 |
Tab. 1 Symbol definition
| 符号 | 含义 |
|---|---|
| 位置 | |
| 在时段 | |
| 在时段 | |
| 充电站 | |
| 在时段 | |
| 需求点 | |
| 时段 | |
| 时段 | |
| 时段 | |
| 未覆盖需求的惩罚系数,主要平衡空驶时间与需求满足度。通过调参(如0.5~2.0)可在“降低空驶时间”和“保障需求覆盖”之间权衡 | |
| 司机每分钟空驶时间的边际成本 | |
| 高难度区域未覆盖每辆车的社会成本 | |
| 允许建设的最大充电站总数 | |
| 充电站最低利用率阈值(如 | |
| 第 | |
| 分区 | |
| 总充电需求 | |
| 单站平均服务能力 |
| 时段类型 | 时段范围 | 核心特征 | 权重 | 服务时间阈值/min | 目标覆盖率/% |
|---|---|---|---|---|---|
| 高峰期 | 7:00—9:00,17:00—19:00 | 需求集中、车辆流动快 | 1.5 | ≤10 | ≥95 |
| 平峰期 | 9:00—17:00,19:00—22:00 | 需求稳定、响应容忍度中等 | 1.0 | ≤15 | ≥85 |
| 低峰期 | 22:00—次日7:00 | 需求低、车辆空闲时间多 | 0.8 | ≤20 | ≥70 |
Tab. 2 Characteristics of different time periods
| 时段类型 | 时段范围 | 核心特征 | 权重 | 服务时间阈值/min | 目标覆盖率/% |
|---|---|---|---|---|---|
| 高峰期 | 7:00—9:00,17:00—19:00 | 需求集中、车辆流动快 | 1.5 | ≤10 | ≥95 |
| 平峰期 | 9:00—17:00,19:00—22:00 | 需求稳定、响应容忍度中等 | 1.0 | ≤15 | ≥85 |
| 低峰期 | 22:00—次日7:00 | 需求低、车辆空闲时间多 | 0.8 | ≤20 | ≥70 |
| 时段 | 服务时间限制/min | 总需求车辆数 | 总覆盖车辆数 | 覆盖率/% | 未覆盖高难度需求车辆数 |
|---|---|---|---|---|---|
| 总计 | — | 17 318 | 17 318 | 100.00 | 0 |
| 高峰期 | 10 | 6 985 | 6 985 | 100.00 | 0 |
| 平峰期 | 15 | 9 273 | 9 273 | 100.00 | 0 |
| 低峰期 | 20 | 1 060 | 1 060 | 100.00 | 0 |
Tab. 3 Coverage of demand in each time period
| 时段 | 服务时间限制/min | 总需求车辆数 | 总覆盖车辆数 | 覆盖率/% | 未覆盖高难度需求车辆数 |
|---|---|---|---|---|---|
| 总计 | — | 17 318 | 17 318 | 100.00 | 0 |
| 高峰期 | 10 | 6 985 | 6 985 | 100.00 | 0 |
| 平峰期 | 15 | 9 273 | 9 273 | 100.00 | 0 |
| 低峰期 | 20 | 1 060 | 1 060 | 100.00 | 0 |
| 算法 | 各算法迭代100次性能 | 各算法迭代200次性能 | ||||||
|---|---|---|---|---|---|---|---|---|
| 最佳适应度 | 平均适应度 | 标准差 | 平均时间/s | 最佳适应度 | 平均适应度 | 标准差 | 平均时间/s | |
| IBWO | 16 180.1 | 16 265.9 | 126.0 | 334.87 | 15 810.8 | 15 998.9 | 166.1 | 651.59 |
| GA | 25 146.3 | 25 295.8 | 450.29 | 24 995.7 | 25 367.1 | 314.7 | 894.27 | |
| PSO | 42 355.6 | 42 470.5 | 82.0 | 446.69 | 42 282.2 | 42 336.7 | 888.75 | |
| GWO | 25 302.4 | 25 555.6 | 349.8 | 565.36 | 25 255.9 | 25 303.6 | 35.5 | 1 085.58 |
| ABC | 240.4 | 133.5 | ||||||
Tab. 4 Performance comparison of various algorithms after 100 and 200 iterations
| 算法 | 各算法迭代100次性能 | 各算法迭代200次性能 | ||||||
|---|---|---|---|---|---|---|---|---|
| 最佳适应度 | 平均适应度 | 标准差 | 平均时间/s | 最佳适应度 | 平均适应度 | 标准差 | 平均时间/s | |
| IBWO | 16 180.1 | 16 265.9 | 126.0 | 334.87 | 15 810.8 | 15 998.9 | 166.1 | 651.59 |
| GA | 25 146.3 | 25 295.8 | 450.29 | 24 995.7 | 25 367.1 | 314.7 | 894.27 | |
| PSO | 42 355.6 | 42 470.5 | 82.0 | 446.69 | 42 282.2 | 42 336.7 | 888.75 | |
| GWO | 25 302.4 | 25 555.6 | 349.8 | 565.36 | 25 255.9 | 25 303.6 | 35.5 | 1 085.58 |
| ABC | 240.4 | 133.5 | ||||||
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