Multiple equilibria in a dynamic traffic network

Takamasa Iryo

Transportation Research Part B: Methodological, 2011, vol. 45, issue 6, 867-879

Abstract: This study provides an example in which the dynamic user equilibrium (DUE) assignment of a congested road network with bottlenecks is non-unique. In previous studies, the uniqueness of DUE assignments with the bottleneck model has been shown in limited cases such as single-origin and single-destination networks. Consequently, it is still an important issue whether or not uniqueness is a general property of DUE assignments. The present study describes a network in which multiple patterns of link travel time are found, thus providing a negative answer to this question. The network has a loopy structure with multiple bottlenecks and multiple origin-destination (OD) pairs. Given a certain demand pattern of departure times for vehicles leaving their origins, a non-convex set of equilibria with a non-unique pattern of link travel times is shown to exist.

Keywords: Dynamic; traffic; assignment; Dynamic; user; equilibrium; Bottleneck; model; Uniqueness (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (11)

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