航空学报 > 1992, Vol. 13 Issue (1): 80-86

平衡交通运输网络设计的最优化数学模型

黄海军, 陈良猷   

  1. 北京航空航天大学801教研室 北京 100083
  • 收稿日期:1990-10-29 修回日期:1991-03-30 出版日期:1992-01-25 发布日期:1992-01-25

A MODEL OF OPTIMIZING EQUILIBRIUM TRANSPORTATION NETWORK IN DESIGN

Huang Hai-jun, Chen Liang-you   

  1. Faculty 801 of Beijing University of Aeronautics and Astronautics, Beijing, 100083
  • Received:1990-10-29 Revised:1991-03-30 Online:1992-01-25 Published:1992-01-25

摘要:

分析了影响交通运输网络发展的因素,总结了课题研究的程序。综合运用了“系统最优原理”和“用户最优原理”,给出了多目标、多运输方式与运送对象的平衡交通网络设计的一般表达式。系统最优与用户最优方法同时又能用于研究国家和省级铁路、公路系统的交通运输问题。文中对这个非凸规划问题给出局部最优解的算法。

关键词: 交通运输网络, 最优化, 平衡, 数学模型

Abstract:

This paper is based on the results of transportation research projects. The factors affecting the development of transportation are analysed, and the working program for the project is given out. A general formula which is the combination of “system optimization” and “user optimization” are proposed, and it can be used to design the equilibrium transportation network of multi-object, multi-style and multi-goods. These methods are also applied to studying problems of railway and highway transportation system for national level and provincial level. A partly optimized algorithm is also developed to solve the nonconvex programming question.

Key words: transportation network, optimization, equilibrium, mathematical model