基于地铁与公交站间距差异的票价及换乘优惠优化

交通运输系统工程与信息 ›› 2016, Vol. 16 ›› Issue (3): 113-119.

基于地铁与公交站间距差异的票价及换乘优惠优化

刘秉政1，葛颖恩*1,2，曹凯3

1. 大连理工大学建设工程学部交通运输学院，辽宁大连116024；2. 上海海事大学交通运输学院，上海201306； 3. 山东理工大学交通与车辆工程学院，山东淄博255049

收稿日期:2015-11-30 修回日期:2016-02-25 出版日期:2016-06-25 发布日期:2016-06-27
作者简介:刘秉政（1987-），男，山西阳泉人，博士生
基金资助:
国家自然科学基金/National Natural Science Foundation of China（71431003，61573009）

Optimizing Fares and Transfer Pricing Discounts for a Subway and Bus Corridor Considering Difference in Stop Distance between Two Services

LIU Bing-zheng1, GE Ying-en1, 2, CAO Kai3

1. School of Transportation & Logistics, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, Liaoning, China; 2. College of Transport & Communications, Shanghai Maritime University, Shanghai 201306, China; 3. School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo 255049, Shandong, China

Received:2015-11-30 Revised:2016-02-25 Online:2016-06-25 Published:2016-06-27

摘要/Abstract

摘要：

考虑到地铁与公交站间距的差异，将两种方式协同服务下的乘客按照其可选择路径的不同分为三种类型.在此基础上对两种方式的票价和换乘优惠进行优化，并详尽分析不同类型乘客之间的相互影响和对最优票价及换乘优惠的影响.为解决这样一个问题，本文构建一个双层规划模型：上层追求社会福利的最大化，下层为基于弹性需求的随机用户均衡模型；并采用遗传算法对双层规划模型进行求解.最后，通过算例对所建模型进行验证；结果表明：① 在对地铁与公交的票价及换乘优惠的优化中，不可忽略两种方式站间距的差异；② 考虑站间距差异后，两种方式的最优票价有所提高，且其票价及换乘优惠之间的差值均将减少.

关键词: 综合交通运输, 站间距, 双层规划, 换乘优惠, 公交客运走廊

Abstract:

Considering the stop spacing difference between subway and bus services, passengers served by both services are classified into three types according to their chosen trip paths. The fares and transfer pricing discounts of the two services are optimized in an integrated model that captures the interaction of different passenger type trip and the influence of it on optimal fares and transfer pricing discounts. For this purpose, a bi-level program is formulated, of which the upper level aims to maximize the social welfare and the lower level is a variable-demand stochastic user equilibrium assignment model. The genetic algorithm is applied to solve the bi-level program. Numerical experiments are carried out to illustrate the performance of the model. The results show that: ① it is of great significance to embed the factor of stop spacing difference between subway and bus services into the integrated optimization of fares and transfer pricing discounts of the two services, otherwise overcrowding may emerge in a set of routes in each service line; ② the optimal fares of each service can increase and both the differences between fares of the two services and transfer pricing discounts are reduced considering the stop spacing difference

Key words: integrated transportation, stop distance, bi-level programming, transfer pricing discount, public transit corridor

中图分类号:

U491.1

刘秉政，葛颖恩，曹凯. 基于地铁与公交站间距差异的票价及换乘优惠优化[J]. 交通运输系统工程与信息, 2016, 16(3): 113-119.

LIU Bing-zheng, GE Ying-en, CAO Kai. Optimizing Fares and Transfer Pricing Discounts for a Subway and Bus Corridor Considering Difference in Stop Distance between Two Services[J]. Journal of Transportation Systems Engineering and Information Technology, 2016, 16(3): 113-119.

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http://www.tseit.org.cn/CN/Y2016/V16/I3/113

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