In a simple two-node, one origin-destination network with multiple links, we characterize the coincidence of system optimum, that minimizes the total cost of agents with user equilibrium, that equalizes the cost in each (used) link. If cost functions are, up to a constant, homogeneous of the same degree then the system optimum and the user equilibrium are the same if and only if the freeflows are costant. Some examples show that the hypotheses are not redundant.

On the coincidence of system optimum and user equilibrium for a widely used family of cost functions

PELLIZZARI, Paolo;SORATO, Annamaria
2004

Abstract

In a simple two-node, one origin-destination network with multiple links, we characterize the coincidence of system optimum, that minimizes the total cost of agents with user equilibrium, that equalizes the cost in each (used) link. If cost functions are, up to a constant, homogeneous of the same degree then the system optimum and the user equilibrium are the same if and only if the freeflows are costant. Some examples show that the hypotheses are not redundant.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10278/24562
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