Random Variational Inequalities and the Random Traffic Equilibrium Problem

被引：0
|
作者：
Patrizia Daniele
Sofia Giuffrè
机构：
[1] University of Catania,Department of Mathematics and Computer Science
[2] “Mediterranea” University of Reggio Calabria,D.I.I.E.S.
来源：
Journal of Optimization Theory and Applications | 2015年 / 167卷
关键词：
Random variational inequalities; Random traffic network; Wardrop equilibrium; Random Lagrange variables; 60H25; 49J55; 49J40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the paper we study, in a Hilbert space setting, a general random traffic equilibrium problem and characterize the random Wardrop equilibrium distribution by means of a random variational inequality. Some existence results are provided and the associated Lagrange function is studied. Some examples illustrate the random variational inequality and the counterintuitive behaviour of the traffic equilibrium problem is focused.
引用
收藏
页码：363 / 381
页数：18
相关论文
共 50 条
  • [1] Random Variational Inequalities and the Random Traffic Equilibrium Problem
    Daniele, Patrizia
    Giuffre, Sofia
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 167 (01) : 363 - 381
  • [2] A random elastic traffic equilibrium problem via stochastic quasi-variational inequalities
    Barbagallo, Annamaria
    Bianco, Serena Guarino Lo
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 131
  • [3] APPLICATIONS OF VARIATIONAL-INEQUALITIES TO THE PROBLEM OF TRAFFIC EQUILIBRIUM
    MAUGERI, A
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1982, 295 (12): : 649 - 652
  • [4] VARIATIONAL AND QUASIVARIATIONAL INEQUALITIES AND APPLICATION TO THE TRAFFIC EQUILIBRIUM PROBLEM
    MAUGERI, A
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1990, 4B (02): : 327 - 343
  • [5] Notes on random optimal control equilibrium problem via stochastic inverse variational inequalities
    Barbagallo, Annamaria
    Pansera, Bruno Antonio
    Ferrara, Massimiliano
    COMPUTATIONAL MANAGEMENT SCIENCE, 2024, 21 (01)
  • [6] On random variational inequalities
    Ganguly, A
    Wadhwa, K
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 206 (01) : 315 - 321
  • [7] Some equilibrium problems under uncertainty and random variational inequalities
    Gwinner, Joachim
    Raciti, Fabio
    ANNALS OF OPERATIONS RESEARCH, 2012, 200 (01) : 299 - 319
  • [8] Some equilibrium problems under uncertainty and random variational inequalities
    Joachim Gwinner
    Fabio Raciti
    Annals of Operations Research, 2012, 200 : 299 - 319
  • [9] On a class of random variational inequalities on random sets
    Gwinner, Joachim
    Raciti, Fabio
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2006, 27 (5-6) : 619 - 636
  • [10] TRAFFIC EQUILIBRIUM PROBLEM: INCORPORATING TRAFFIC RESTRAINT AND RANDOM PERCEPTION
    Zhou, Zhong
    Chen, Anthony
    TRANSPORTATION AND THE ECONOMY, 2005, : 43 - 52
12345