Journal ArticleDOI
The cell transmission model, part ii: network traffic
TLDR
This article shows how the evolution of multi-commodity traffic flows over complex networks can be predicted over time, based on a simple macroscopic computer representation of traffic flow that is consistent with the kinematic wave theory under all traffic conditions.Abstract:
This article shows how the evolution of multi-commodity traffic flows over complex networks can be predicted over time, based on a simple macroscopic computer representation of traffic flow that is consistent with the kinematic wave theory under all traffic conditions. The method does not use ad hoc procedures to treat special situations. After a brief review of the basic model for one link, the article describes how three-legged junctions can be modeled. It then introduces a numerical procedure for networks, assuming that a time-varying origin-destination (O-D) table is given and that the proportion of turns at every junction is known. These assumptions are reasonable for numerical analysis of disaster evacuation plans. The results are then extended to the case where, instead of the turning proportions, the best routes to each destination from every junction are known at all times. For technical reasons explained in the text, the procedure is more complicated in this case, requiring more computer memory and more time for execution. The effort is estimated to be about an order of magnitude greater than for the static traffic assignment problem on a network of the same size. The procedure is ideally suited for parallel computing. It is hoped that the results in the article will lead to more realistic models of freeway flow, disaster evacuations and dynamic traffic assignment for the evening commute.read more
Citations
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Journal ArticleDOI
Traffic and related self-driven many-particle systems
Dirk Helbing,Dirk Helbing +1 more
TL;DR: This article considers the empirical data and then reviews the main approaches to modeling pedestrian and vehicle traffic, including microscopic (particle-based), mesoscopic (gas-kinetic), and macroscopic (fluid-dynamic) models.
Journal ArticleDOI
OR/MS research in disaster operations management
Nezih Altay,Walter G. Green +1 more
TL;DR: The literature is surveyed to identify potential research directions in disaster operations, discuss relevant issues, and provide a starting point for interested researchers.
Journal ArticleDOI
Requiem for second-order fluid approximations of traffic flow
TL;DR: In this paper, it is shown that any continuum model of traffic flow that smooths out all discontinuities in density will predict negative flows and negative speeds (i.e., "wrong way travel") under certain conditions.
Journal ArticleDOI
State-of-the-art of vehicular traffic flow modelling
Serge P. Hoogendoorn,P.H.L. Bovy +1 more
TL;DR: This paper presents a overview of some fifty years of modelling vehicular traffic flow, and a rich variety of modelling approaches developed so far and in use today will be discussed and compared.
Journal ArticleDOI
A Linear Programming Model for the Single Destination System Optimum Dynamic Traffic Assignment Problem
TL;DR: The main objective of the paper is to demonstrate that the DTA problem can be modeled as an LP, which allows the vast existing literature on LP to be used to better understand and compute DTA.
References
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Journal ArticleDOI
The stability of stochastic equilibrium in a two-link transportation network
TL;DR: In this article, the authors investigated the stability of stochastic equilibrium in a two-link network and showed that even when equilibrium is unique, link volumes may converge to their equilibrium values, oscillate about equilibrium perpetually, or converge to values that may be considerably different from the equilibrium ones, depending on the details of the route choice decision-making process.
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A transportation network evacuation model
TL;DR: NETVACl is a macro traffic simulation model sensitive to network topology, intersection design and control, and a wide array of evacuation management strategies that can handle large networks at modest computational costs and includes many reporting options.
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Properties of link travel time functions under dynamic loads
TL;DR: This article examines a general form of link travel time functions considered in the dynamic traffic assignment literature and shows that it only makes some physical sense in the special case where each function denotes either a link with no spatial dimension containing a point queue or a links with constant travel time and no queueing.
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Continuum modelling of traffic dynamics for congested freeways
TL;DR: The existing high-order models are reviwed and discussed, and a new formulation is proposed which does not require the use of an equilibrium speed-density relationship, which suggests that the proposed mode is more accurate and computationally more efficient.
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Multilane traffic flow dynamics: Some macroscopic considerations
TL;DR: In this article, a macroscopic modelling and analysis of multilane homodirectional freeway flow is discussed, where two existing models are extended and treated numerically so that their simplifying assumptions are relaxed.