Quasi-Variational Inequalities and Applications to Equilibrium Problems with Elastic Demand
Part of the
Ettore Majorana International Science Series
book series (EMISS, volume 43)
Let (N, A, W) be a transportation network where N is the set of p nodes P i , i = 1, ...,p, A the set of directed arcs a i , i = 1 , ...,n, W the set of OD (origin-destination) pairs w j , j = 1, ...,ℓ. The flow on a i is denoted by f i and f denotes the column vector whose components are f i , i = 1, ..., n. The travel cost on arc a i is a given function of f which we denote by c i (f) and the column vector c(f), whose components are c i (f), denotes the travel cost on all arcs.
KeywordsVariational Inequality Column Vector Equilibrium Problem Travel Cost Elastic Demand
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