Abstract
Conditions for network equilibrium are developed in terms of vectorvalued flows and potentials and generalized resistance relations. The extent to which the equilibrium can be expressed by a Variational Inequality or characterized by optimization is analyzed. Emphasis is placed on maximal monotone relations, especially subgradient relations associated with convex optimization.
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© 1995 Springer Science+Business Media New York
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Tyrrell, R.R. (1995). Monotone Relations and Network Equilibrium. In: Giannessi, F., Maugeri, A. (eds) Variational Inequalities and Network Equilibrium Problems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1358-6_21
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DOI: https://doi.org/10.1007/978-1-4899-1358-6_21
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-1360-9
Online ISBN: 978-1-4899-1358-6
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