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Urban Transportation Networks: Equilibrium Analysis With Mathematical Programming Methods

Yosef Sheffi
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The article was published on 1985-01-01 and is currently open access. It has received 2277 citations till now. The article focuses on the topics: Mode choice & Traffic congestion.

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The cell transmission model: a dynamic representation of highway traffic consistent with the hydrodynamic theory

TL;DR: In this paper, a simple representation of traffic on a highway with a single entrance and exit is presented, which can be used to predict traffic's evolution over time and space, including transient phenomena such as the building, propagation, and dissipation of queues.
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How bad is selfish routing

TL;DR: The degradation in network performance due to unregulated traffic is quantified and it is proved that if the latency of each edge is a linear function of its congestion, then the total latency of the routes chosen by selfish network users is at most 4/3 times the minimum possible total latency.
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Nonlinear Programming: A Unified Approach

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Selfish Routing and the Price of Anarchy

TL;DR: A survey of recent work that analyzes the price of anarchy of selfish routing, a classical mathematical model of how self-interested users might route traffic through a congested network.
References
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A study of traffic capacity

TL;DR: The Recordograph traffic analysis was found to be an accurate method of determining the traffic capacity of highways and valuable aid in determining traffic conditions.
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Nonlinear Programming: A Unified Approach

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Entropy in Urban and Regional Modelling

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On the Formation of Travel Demand Models and Economic Evaluation Measures of User Benefit

TL;DR: In this paper, the authors examine the formation of travel demand models and economic evaluation measures which are mutually consistent within a theory of rational choice, and a consideration of the structure of models which are representations of the trip decision process over several dimensions: location, mode, and route.