Random equilibrium problems on networks

Mathematical and Computer Modelling

Volumn 43, Issue 7-8, 2006, Pages 880-891

  Gwinner, Joachim ^a   Raciti, Fabio ^b  

^a BUNDESWEHR UNIVERSITY MUNICH   (Germany)

^b UNIVERSITY OF CATANIA   (Italy)

Author keywords

Mosco convergence; Network problems; Random equilibrium; Random variational inequalities; Traffic equilibrium

Indexed keywords

COMPUTER NETWORKS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES;

NETWORK PROBLEMS; RANDOM EQUILIBRIUM; RANDOM VARIATIONAL INEQUALITIES; TRAFFIC EQUILIBRIUM;

PROBLEM SOLVING;

EID: 33645018221     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.12.007     Document Type: Article

References (19)

1. D.P. Bertsekas, and E. Gafni Projection methods for variational inequalities with application to the traffic assignment problem Math. Program. Stud. 17 1982 139 151
2. R. Cottle, J.-S. Pang, and R.E. Stone The Linear Complementarity Problem 1992 Academic Press San Diego
3. S. Dafermos Traffic equilibrium and variational inequalities Transp. Sci. 14 1980 42 54
4. F. Facchinei, and J.-S. Pang Finite-Dimensional Variational Inequalities and Complementarity Problems Two Volumes 2003 Springer New York
5. T. Friesz, D. Bernstein, T. Smith, R. Tobin, and B. Wie A variational inequality formulation of the dynamic network user equilibrium problem Oper. Res. 41 1993 179 191
6. F. Giannessi A. Maugeri Variational Inequalities and Network Equilibrium Problems 1995 Plenum Press New York
7. G. Gürkan, A.Y. Özge, and S.M. Robinson Sample-path solution of stochastic variational inequalities Math. Program. 84 1999 313 333
8. J. Gwinner, F. Raciti, On a class of random variational inequalities on random sets (submitted for publication)
9. J. Gwinner A class of random variational inequalities and simple random unilateral boundary value problems: Existence, discretization, finite element approximation Stochastic Anal. Appl. 18 2000 967 993
10. P. Jaillet, A. Odoni, and W.B. Powell M.O. Ball Stochastic and Dynamic Networks and Routing Handb. Oper. Res. Menage. Sci. vol. 8 1995 Network Routing Amsterdam 141 295
11. J. Jacod, and P. Protter Probability Essentials 2003 Springer Verlag Berlin
12. D. Kinderlehrer, and G. Stampacchia An Introduction to Variational Inequalities and their Applications 1980 Academic Press New York
13. A. Maugeri Convex programming, variational inequalities, and applications to the traffic equilibrium problem Appl. Math. Optim. 16 1987 169 185
14. A. Nagurney Network Economics: A Variational Inequality Approach 1993 Kluwer Academic Publishers Dordrecht, Holland
15. M. Patriksson The Traffic Assignment Problem 1994 VSP, Utrecht The Netherlands
16. A. Prékopa Stochastic Programming 1995 Kluwer Academic Publishers Dordrecht
17. M.J. Smith The existence, uniqueness and stability of traffic equilibrium Transp. Res. 138 1979 295 304
18. D. Watling Stochastic network equilibrium under stochastic demand M Patriksson Transportation planning. State of the art. Selected Papers of the 6th Meeting of the EURO Working Group on Transportaion Chalmers Univ. of Technology, Göteborg, Sweden, 1998 1998 Kluwer Academic Publishers Boston
19. S.W. Wallace Solving stochastic programs with network recourse Networks 16 3 1986 295 317