Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems

In this paper we present tatonnement models for calculating static Wardropian user equilibria on congested networks with fully general demand and cost structures. We present both a qualitative analysis of stability and numerical studies which show that such an approach provides a reliable means for...

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Bibliographic Details
Published in:Operations research 1994-11, Vol.42 (6), p.1120-1136
Main Authors: Friesz, Terry L, Bernstein, David, Mehta, Nihal J, Tobin, Roger L, Ganjalizadeh, Saiid
Format: Article
Language:English
Subjects:
Applied sciences
Cost functions
Decision theory. Utility theory
Elasticity of demand
Exact sciences and technology
Fall lines
Game theory
games/group decisions: noncooperative
Market disequilibrium
Network access lines
Operational research and scientific management
Operational research. Management science
programming: infinite-dimensional
Queuing theory. Traffic theory
Trajectories
Transportation demand
transportation: assignment models
Travel expenses
Travelers
Unit costs
Citations: Items that cite this one
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Summary:In this paper we present tatonnement models for calculating static Wardropian user equilibria on congested networks with fully general demand and cost structures. We present both a qualitative analysis of stability and numerical studies which show that such an approach provides a reliable means for determining static user equilibria. We also describe circumstances for which these models depict day-to-day adjustments from one realizable disequilibrium state to another and how these adjustment processes differ depending on the "quality" of the information being provided by (abstract) traveler information systems. Specifically, we demonstrate that such dynamic adjustment processes settle down to equilibria both when information is complete and when it is incomplete.
ISSN:0030-364X
1526-5463
DOI:10.1287/opre.42.6.1120