中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊

重庆交通大学学报(自然科学版) ›› 2019, Vol. 38 ›› Issue (12): 97-104.DOI: 10.3969/j.issn.1674-0696.2019.12.15

• 交通运输工程 • 上一篇    下一篇

一个基于无约束优化方法的交通组合模型

胡文君1,周溪召2   

  1. (1.上海中侨职业技术学院 经济与管理学院,上海 201309; 2. 上海理工大学 管理学院,上海 200093)
  • 收稿日期:2018-07-27 修回日期:2018-09-16 出版日期:2019-12-21 发布日期:2019-12-24
  • 作者简介:胡文君(1984—),女,上海人,讲师,博士,主要从事交通规划与管理方面的研究。E-mail:huwenjunlovely@163.com。
  • 基金资助:
    国家自然科学基金项目(61273042)

A Combined Transportation Model Based on Unconstrained Optimization Method

HU Wenjun1, ZHOU Xizhao2   

  1. (1. College of Economics and Management, Shanghai Zhongqiao College, Shanghai 201309, P. R. China; 2. School of Management, Shanghai University of Technology, Shanghai 200093, P. R. China)
  • Received:2018-07-27 Revised:2018-09-16 Online:2019-12-21 Published:2019-12-24

摘要: 基于期望效用理论,建立了一个组合出行-终点-模式-路径选择的一般无约束优化模型,将出行与否的选择、出行终点选择、模式选择和交通分配纳入一个统一的框架进行分析,推导了组合模型的出行阻抗以及用户分别选择出行、终点、模式和路径的概率或条件概率,及满意函数的特征。分析推导了无约束优化模型解的等价性、存在性和唯一性条件。将一般形式的模型公式推广到路径选择服从多项式Logit和C-Logit的组合无约束优化模型。采用一个简单算例来表现模型的可行性和有效性,结果表明了无约束优化组合模型与带约束组合模型解的等价性,同时路径的重叠效应会通过路径重叠部分长度和OD对吸引力来影响均衡的出行流、终点流、模式流和路径流,提出的模型相比一般模型有更好的解释和预测能力。

关键词: 交通工程, 组合模型, 无约束优化方法, C-Logit模型, 模式选择

Abstract: A general unconstrained optimization model of combined travel-destination-mode-route choice was established based on expected utility theory. The choice of travel or not, the choice of travel destination, the choice of mode and the distribution of traffic were analyzed in a unified framework. The travel impedance of the combined model, the probability or conditional probability of users choosing travel, destination, mode and path respectively, and the characteristics of satisfaction function were derived. The equivalence, existence and uniqueness conditions of solutions of unconstrained optimization models were analyzed and derived. Then the general form of the model formula was extended to the combined unconstrained optimization model of path selection subject to polynomial Logit and C-Logit. A simple example was used to demonstrate the feasibility and effectiveness of the proposed model. The results show that the solution of unconstrained optimization combination model is equivalent to that of constrained combination model. At the same time, the overlapping effect of path affects the equilibrium travel flow, destination flow, mode flow and path flow through the overlap length of the path and the attraction of the OD pairs. Compared with general models, the proposed model has better explanatory and predictive power.

Key words: traffic engineering, combined model, unconstrained optimization method, C-Logit model, mode choice

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