停车许可证的动态最优供给策略

交通运输系统工程与信息 ›› 2020, Vol. 20 ›› Issue (5): 9-14.

停车许可证的动态最优供给策略

王鹏飞^{*1a, 2}，王安格^1b，关宏志^1b，赵磊^{1b, 3}，赵鹏飞⁴

1. 北京工业大学 a. 城市与工程安全减灾教育部重点实验室，b. 城市建设学部，北京 100124； 2. 河北科技师范学院城市建设学院，河北秦皇岛 066004；3. 北京易华录信息技术股份有限公司，北京 100043；4. 北京建筑大学土木与交通工程学院，北京 102616

收稿日期:2020-05-14 修回日期:2020-07-07 出版日期:2020-10-25 发布日期:2020-10-26
作者简介:王鹏飞（1985-），男，北京人，特聘教授，博士.
基金资助:
国家自然科学基金/National Natural Science Foundation of China(71971005)；河北省引进留学人员资助项目/The Project Sponsored by Hebei Province for the Returned Overseas Chinese Scholars(C20190333)；河北省自然科学基金/ Natural Science Foundation of Hebei Province, China(E2018407051).

Dynamic Optimal Supply Strategy of Parking Permits

WANG Peng-fei^{1a, 2}, WANG An-ge^1b , GUAN Hong-zhi^1b , ZHAO Lei^{1b, 3}, ZHAO Peng-fei⁴

1a. Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, 1b. Faculty of Urban Construction, Beijing University of Technology, Beijing 100124, China; 2. College of Urban Construction, Hebei Normal University of Science & Technology, Qinhuangdao 066004, Hebei, China; 3. Beijing E-Hualu Information Technology Co., Ltd., Beijing 100043, China; 4. School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture, Beijing 102616, China

Received:2020-05-14 Revised:2020-07-07 Online:2020-10-25 Published:2020-10-26

摘要/Abstract

摘要：

考虑可预约和不可预约公共停车设施共存情况，制定停车许可证动态最优供给策略.构建随机最优控制模型以实现系统总时间损失期望值最小化，利用动态规划原理推导出最优性条件，即哈密尔顿-雅克比-贝尔曼方程，采用一种预设最优值函数方法得到动态最优供给策略的解析解.结果表明：动态最优供给策略为一个反馈控制，即车辆排队时间的函数；依据排队时间是否存在，动态最优供给策略分为两种情况.以北京市国贸地区为例进行蒙特卡洛实验可知：相较停车许可证完全供给策略，动态最优供给策略可节约时间0.45~1.94 min/veh；随着停车许可证用户行为不确定性增加，动态最优供给策略节约时间的平均值上升，变异系数下降.

关键词: 交通工程, 动态最优供给, 最优控制, 公共停车设施, 停车许可证, 随机行为

Abstract:

This study aims to clarify a dynamic optimal supply of parking permits considering the situation in which reservable and unreservable public parking facilities exist in an area simultaneously. We first mathematically established a stochastic optimal control model to minimize the expectation of the total time lost. We then analyzed the optimality condition, i.e., Hamilton-Jacobi-Bellman equation, by applying the dynamic programming principle. Finally, with the estimated parameters in the predetermined optimal value function, we obtained the analytic solution of the dynamic optimal supply strategy. The results show that the dynamic optimal supply strategy is a feedback control strategy, which means the proposed strategy is a function of queuing time. The dynamic optimal supply strategy can be divided into two patterns basing on the existence of queuing time. Taking the Guomao area in Beijing City as an example, the Monte-Carlo experiment results show that the dynamic optimal supply strategy can save 0.45~1.94 min/veh compared with the full supply strategy of parking permits. With the increase of the uncertainty in the parking permits holders' behavior, the average time-saving value increases, but the coefficient of variation decreases.

Key words: traffic engineering, dynamic optimal supply, optimal control, public parking facility, parking permit;stochastic behavior

中图分类号:

U491.4

王鹏飞，王安格，关宏志，赵磊，赵鹏飞. 停车许可证的动态最优供给策略[J]. 交通运输系统工程与信息, 2020, 20(5): 9-14.

WANG Peng-fei, WANG An-ge, GUAN Hong-zhi, ZHAO Lei, ZHAO Peng-fei. Dynamic Optimal Supply Strategy of Parking Permits[J]. Journal of Transportation Systems Engineering and Information Technology, 2020, 20(5): 9-14.

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链接本文: http://www.tseit.org.cn/CN/abstract/abstract20108.shtml

http://www.tseit.org.cn/CN/Y2020/V20/I5/9

参考文献

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