运筹与管理 ›› 2020, Vol. 29 ›› Issue (9): 218-223.DOI: 10.12005/orms.2020.0246

• 管理科学 • 上一篇    下一篇

双模式网络停车限制交通需求管理模型与方法研究

刘炳全1, 度巍2   

  1. 1. 渭南师范学院 数学与统计学院, 陕西 渭南 714099;
    2. 南通大学 交通与土木工程学院, 江苏 南通 226019
  • 收稿日期:2019-03-28 出版日期:2020-09-25
  • 作者简介:刘炳全(1980-), 男, 山东昌乐人, 博士, 副教授, 研究方向:系统优化与管理决策。
  • 基金资助:
    国家自然科学基金资助项目(61402335);教育部产学合作项目(201901154011);陕西省教育厅科研资助项目(18JK0282);渭南市科技局基础研究项目(2018-ZDYF-JCYJ-40)和数学特色学科建设项目资助

Model and Method for Traffic Demand Management with Parking Controlled on Bimodal Network

LIU Bing-quan1, DU Wei2   

  1. 1. School of Mathematics and Statistics, Weinan Normal University, Weinan 714099, China;
    2. School ofTransportation and Civil Engineering, Nantong University, Nantong 226019, China
  • Received:2019-03-28 Online:2020-09-25

摘要: 在轨道网和公路网并存的双模式交通网络, 合理设计出行终点的停车容量可优化汽车出行需求, 改善路网交通环境。本文通过分析私家车与城市轨道两种交通模式的出行需求, 并考虑私家车模式的终点停车收费服务, 建立了一种带路段环境容量和终点停车需求容量共同约束的交通需求管理模型。模型中路网使用者的出行模式采用二元Logit模型来计算, 而私家车的路线选择行为服从Logit随机用户均衡, 因此该模型是一个带不动点约束的数学规划问题。针对模型求解困难, 文中采用灵敏度分析来获取各路段流量和需求量关于终点容量波动的梯度信息, 进而设计了一种新的灵敏度分析求解算法.最后通过数值仿真实验, 验证了算法的有效性, 同时分析了不同停车收费参数对模型各指标变化趋势的影响。

关键词: 交通需求管理, 双模式网络, 随机用户均衡, 灵敏度分析法

Abstract: On a bimodal transportation network with auto and rail travel modes, reasonable parking capacity design of travel destination can optimize the use of private cars and migrate the travelers onto public transport system. The paper proposes a model of traffic demand management with the environmental capacity and parking constraints on the bimodal network and takes the destination parking pricing into account. Adopting a binary Logit model for the mode split and stochastic user equilibrium for the route-choice of car traveler, a fixed-point model is formulated under the constraint of destination demand. Taking the fixed-point model as a constraint, the model of traffic demand management is thus established as a mathematical programming with equilibrium constraints model. To solve the model, a sensitivity analysis method is presented by obtaining the gradient of link flow and destination demand to parking capacity fluctuation. The influence of parking charge on the variation trend of each index in the model is analyzed and the algorithm is also numerically validated by a network example.

Key words: traffic demand management, bimodal network, stochastic user equilibrium, sensitivity analysis method

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