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Quasi-Variational Inequalities and Applications to Equilibrium Problems with Elastic Demand

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Nonsmooth Optimization and Related Topics

Part of the book series: Ettore Majorana International Science Series ((EMISS,volume 43))

Abstract

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.

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References

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© 1989 Springer Science+Business Media New York

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De Luca, M., Maugeri, A. (1989). Quasi-Variational Inequalities and Applications to Equilibrium Problems with Elastic Demand. In: Clarke, F.H., Dem’yanov, V.F., Giannessi, F. (eds) Nonsmooth Optimization and Related Topics. Ettore Majorana International Science Series, vol 43. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6019-4_5

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  • DOI: https://doi.org/10.1007/978-1-4757-6019-4_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-6021-7

  • Online ISBN: 978-1-4757-6019-4

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