An alternative definition of dynamic user optimum on signalised road networks

Abstract

SUMMARY In the literature on dynamic traffic assignment (DTA), dynamic user optimum (DUO) and dynamic user equilibrium (DUE) are interchangeable and refer to a stable state on a road network in which, under the assumption of perfect information on traffic conditions and the assumption that every traveller chooses the least costly path to travel, no one can reduce his or her travel cost by changing his or her path unilaterally. This paper proposes an alternative definition of DUO on signalised road networks; in such a DUO state, the travel times or costs of used paths between the same origin–destination pair can be different because of the existence of signalised junctions. Usually, on signalised road networks, a DUE solution is sought to approximate such a DUO solution by assuming that the capacity of each approach at a signalised junction is equal to the saturation flow rate of the approach times the corresponding split. By comparing the DUE and DUO solutions of a DTA problem on a small signalised road network, this paper discusses advantages and disadvantages of this approximation and shows that such a DUE solution would not be a good approximation to a DUO solution. Copyright © 2012 John Wiley & Sons, Ltd.

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