Vector network equilibrium problems with capacity constraints of arcs

被引：7
|
作者：
Xu, Y. D. [1 ]
Li, S. J. [1 ]
Teo, K. L. [2 ]
机构：
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
来源：
TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW | 2012年 / 48卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Vector traffic network equilibrium model; Vector equilibrium flow; Delta-Equilibrium flow; Vector minimum cost flow; Variational inequality; QUASI-VARIATIONAL INEQUALITIES; SUPPLY CHAIN; SCALARIZATION; OPTIMIZATION; EXISTENCE; MODELS;
D O I：
10.1016/j.tre.2011.11.002
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
In this paper, we study a (weak) vector equilibrium principle with capacity constraints of arcs and common arcs in some different paths. We obtain some necessary and sufficient conditions for a (weak) vector minimum cost flow. By virtue of a (weak) Delta-equilibrium principle, we also derive some necessary and sufficient conditions for a weak vector equilibrium flow. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：567 / 577
页数：11
相关论文
共 50 条
  • [1] Vector network equilibrium problems with uncertain demands and capacity constraints of arcs
    Wei, Hongzhi
    Chen, Chunrong
    Wu, Baowei
    OPTIMIZATION LETTERS, 2021, 15 (04) : 1113 - 1131
  • [2] Vector network equilibrium problems with uncertain demands and capacity constraints of arcs
    Hongzhi Wei
    Chunrong Chen
    Baowei Wu
    Optimization Letters, 2021, 15 : 1113 - 1131
  • [3] Vector network equilibrium problems with capacity constraints of arcs and nonlinear scalarization methods
    Xu, Y. D.
    Li, S. J.
    APPLICABLE ANALYSIS, 2014, 93 (10) : 2199 - 2210
  • [4] On existence of vector equilibrium flows with capacity constraints of arcs
    Lin, Zhi
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 2076 - 2079
  • [5] Traffic Network Equilibrium Problems with Capacity Constraints of Arcs and Linear Scalarization Methods
    Tian, X. Q.
    Xu, Y. D.
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [6] The study of traffic equilibrium problems with capacity constraints of arcs
    Lin, Zhi
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 2280 - 2284
  • [7] Traffic network equilibrium problems with demands uncertainty and capacity constraints of arcs by scalarization approaches
    Cao JinDe
    Li RuoXia
    Huang Wei
    Guo JianHua
    Wei Yun
    SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2018, 61 (11) : 1642 - 1653
  • [8] Traffic network equilibrium problems with demands uncertainty and capacity constraints of arcs by scalarization approaches
    JinDe Cao
    RuoXia Li
    Wei Huang
    JianHua Guo
    Yun Wei
    Science China Technological Sciences, 2018, 61 : 1642 - 1653
  • [9] Traffic network equilibrium problems with demands uncertainty and capacity constraints of arcs by scalarization approaches
    CAO JinDe
    LI RuoXia
    HUANG Wei
    GUO JianHua
    WEI Yun
    Science China(Technological Sciences), 2018, 61 (11) : 1642 - 1653
  • [10] Traffic network equilibrium problems with demands uncertainty and capacity constraints of arcs by scalarization approaches
    CAO JinDe
    LI RuoXia
    HUANG Wei
    GUO JianHua
    WEI Yun
    Science China(Technological Sciences), 2018, (11) : 1642 - 1653
12345