Variational Inequalities and Applications to a Continuum Model of Transportation Network with Capacity Constraints

Journal of Global Optimization

Volumn 28, Issue 1, 2004, Pages 45-53

  Idone, Giovanna ^a  

^a UNIVERSITY MEDITERRANEA OF REGGIO CALABRIA   (Italy)

Author keywords

Capacity constraints; Continuum traffic equilibrium problems; Lagrangean theory; Quasi relative interior; Variational inequality

Indexed keywords

BOUNDARY CONDITIONS; FUNCTIONS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; PROBLEM SOLVING; TRANSPORTATION;

CAPACITY CONSTRAINTS; CONTINUUM TRAFFIC EQUILIBRIUM PROBLEMS; LAGRANGIAN THEORY; QASI-RELATIVE INTERIOR; VARIATIONAL INEQUALITIES;

GLOBAL OPTIMIZATION;

EID: 0942277400     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JOGO.0000006655.71863.53     Document Type: Article

References (9)

1. Borwein, J.W. and Lewis, A.S. Practical Conditions for Fenchel Duality in Infinite Dimensions, in: Théra, M.A. and Baillon, J.B. (eds), Pitman Research Notes in Mathematics Series 252, 83-89.
2. Dafermos, S. (1980), Continuum Modelling of Transportation Networks, Transportation Res. 14 B, 295-301.
3. Daniele, P. (1999), Lagrangean Function for Dynamic Variational Inequalities, Rendiconti del Circolo Matematico di Palermo, Serie II 58, 101-119.
4. Daniele, P. and Maugeri, A. (2000), Vector Variational Inequalities and a Continuum Modelling of Traffic Equilibrium Problem, in Giannessi, F. (ed.), Vector Variational Inequalities and Vector Equilibria, Kluwer Academic Publishers, Dordrecht, 97-111.
5. Gwinner, J. (1988), On continuum Modelling of Large Dense Networks in Urban Road Traffic, in Griffiths, J.D. (ed.), Mathematics in Transport Planning and Control IMA Conference, Cardiff.
6. Maugeri, A. (1998), Dynamic Models and Generalized Equilibrium Problems, in: Giannessi, F. et al. (eds.), New Trends in Mathematical Programming, Kluwer Academic Publishers, Dordrecht, 191-202.
7. Maugeri, A. (1985), New Classes of Variational Inequalities and Applications to Equilibrium Problems, Methods of Operation Research 53, 129-131.
8. Maugeri, A. (1987), New Classes of Variational Inequalities and Applications to Equilibrium Problems, Rendiconti Accademia Nationale delle Scienze deta dei XL 11, 224-285.
9. Maugeri, A. (2001), Equilibrium Problems and Variational Inequalities, in: Maugeri, A., Giannessi, F. and Pardalos, P. (eds.), Equilibrium Problems: Nonsmooth Optimization and Variational Inequalities Models, Kluwer Academic Publishers, Dordrecht.