Random equilibrium problems on networks

被引:30
作者
Gwinner, J
Raciti, F
机构
[1] Univ Catania, Dipartimento Matemat & Informat, Fac Ingn, I-95125 Catania, Italy
[2] Univ Bundeswehr Munchen, Fak Luft & Raumfahrtech, Inst Math, Neubiberg, Germany
关键词
random variational inequalities; traffic equilibrium; random equilibrium; network problems; mosco convergence;
D O I
10.1016/j.mcm.2005.12.007
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We apply the theory of random variational inequalities to study a class of random equilibrium problems on networks. By means of two classical test problems we treat the case of random demand and random cost and compute mean values and variances for two special probability distributions. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:880 / 891
页数:12
相关论文
共 19 条
[1]  
[Anonymous], 2003, PROBABILITY ESSENTIA
[2]  
BERTSEKAS DP, 1982, MATH PROGRAM STUD, V17, P139
[3]  
Cottle R, 1992, The Linear Complementarity Problem
[4]   TRAFFIC EQUILIBRIUM AND VARIATIONAL-INEQUALITIES [J].
DAFERMOS, S .
TRANSPORTATION SCIENCE, 1980, 14 (01) :42-54
[5]  
Facchinei F, 2003, Finite-Dimensional Variational Inequalities and Complementary Problems, VII
[6]   A VARIATIONAL INEQUALITY FORMULATION OF THE DYNAMIC NETWORK USER EQUILIBRIUM PROBLEM [J].
FRIESZ, TL ;
BERNSTEIN, D ;
SMITH, TE ;
TOBIN, RL ;
WIE, BW .
OPERATIONS RESEARCH, 1993, 41 (01) :179-191
[7]  
Giannessi F., 1995, Variational Inequalities and Network Equilibrium Problems
[8]   Sample-path solution of stochastic variational inequalities [J].
Gürkan, G ;
Özge, AY ;
Robinson, SM .
MATHEMATICAL PROGRAMMING, 1999, 84 (02) :313-333
[9]   A class of random variational inequalities and simple random unilateral boundary value problems - Existence, discretization, finite element approximation [J].
Gwinner, J .
STOCHASTIC ANALYSIS AND APPLICATIONS, 2000, 18 (06) :967-993
[10]  
GWINNER J, UNPUB CLASS RANDOM V