J4 ›› 2014, Vol. 27 ›› Issue (1): 73-77.doi: 10.3976/j.issn.1002-4026.2014.01.013

• 交通运输专栏 • 上一篇    下一篇

制定铁路旅客票价的策略模型与求解算法研究

李树彬1,党文修1,傅白白2   

  1. 1.山东警察学院治安系,山东 济南 250014; 2.山东建筑大学交通研究所,山东 济南 250101
  • 收稿日期:2013-03-13 出版日期:2014-02-20 发布日期:2014-02-20
  • 作者简介:李树彬(1977-),男,博士,研究方向为交通运输系统分系统与集成、智能交通等。
  • 基金资助:

    国家自然科学基金 (71171124);山东省超级计算科技专项项目(2011YD01104);交通运输部行业联合科技公关项目(2009-353-337-480)

Strategy model and solution algorithm of railway passenger ticket price

 LI Shu-Bin1, DANG Wen-Xiu1, FU Bai-Bai2   

  1. 1. Department of Public Security, Shandong Police College, Jinan 250014, China; 2. Institute of Traffic, Shandong Jianzhu University, Jinan 250101, China
  • Received:2013-03-13 Online:2014-02-20 Published:2014-02-20

摘要:

城市间的多种运输方式存在着竞争关系,在给定需求下票价价格是各种运输方式的调节杠杆。本文提出了一个铁路旅客票价制定的双层规划模型。首先建立了一个描述用户多等级、路径多阻抗、多标准情况的变分不等式模型,并将其作为双层规划模型的下层模型,然后以铁路运营总收益为上层目标,建立了相应的双层规划模型,同时设计了求解此模型的基于混沌-修正投影算法的启发式求解算法。结果表明,本文提出的票价价格制定机制是合理的,有望为有关部门的定价机制提供理论依据。

关键词: 旅客票价, 双层规划, 变分不等式, 求解算法

Abstract:

Competition exists in multiple intercity transportation means. Ticket price is the adjustment lever for the given requirements. This paper presents a bilevel programming model for railway passenger ticket pricing. We initially construct a variational inequality model that can represent multiclass, multipath cost and multicriteria. It serves as the downlevel model of the bilevel programming model. We then establish the uplevel model of the bilevel programming model with total railway income as an object. We also design a chaosmodified projection algorithm based heuristic algorithm to solve a bilevel programming model. Results show that the proposed ticket pricing mechanism is reasonable. It will provide a better theoretical basis for government railway ticket pricing mechanism.

Key words: railway passenger ticket price, bilevel programming, variational inequality, solution algorithm

中图分类号: 

  • U293.1