• Publications
  • Influence
A Whole-Link Travel-Time Model with Desirable Properties
TLDR
In network models for dynamic traffic assignment the link travel times are often described by "whole-link" models. Expand
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Behaviour of a whole-link travel time model used in dynamic traffic assignment
TLDR
We derive the complete analytic solution for a whole-link model in which the link travel time depends linearly only on the number of vehicles on the link, and show that the solution exhibits pseudo-periodicity, and converges to a steady state solution. Expand
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An exit-flow model used in dynamic traffic assignment
TLDR
We consider the behaviour of a link exit-flow model that has been used to model link flows in dynamic traffic assignment (DTA) on networks. Expand
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A discrete time car following model and the bi-parameter logistic map
Abstract A discrete time model for car following behaviour is investigated. It is found that the model can be expressed in the form of a logistic map with multiple control parameter values. The caseExpand
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Explanatory Inference under Uncertainty
TLDR
This paper investigates the performance of explanatory or abductive inference in certain hypothesis selection tasks. Expand
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On the Road to Chaos.
Two simple mathematical models for how individual vehicles follow each other along a stretch of road are discussed. The resulting diierence equations can be used as applications of techniques taughtExpand
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Discrete vs. continuous time implementation of a ring car following model in which overtaking is allowed
Abstract Car following models seek to describe the interactions between individual vehicles as they move along a stretch of road where the behaviour of each vehicle is dependent on the motion of theExpand
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Explaining and Explaining Away in Science and Religion
Abstract There is no good reason to think that there is a necessary conflict between science and the existence of God, but is there still some way in which science might support atheism? The mostExpand
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Mathematics of Zernike polynomials: a review
Monochromatic aberrations of the eye principally originate from the cornea and the crystalline lens. Aberrometers operate via differing principles but function by either analysing the reflectedExpand
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Characteristics of successful opinion leaders in a bounded confidence model
This paper analyses the impact of competing opinion leaders on attracting followers in a social group based on a bounded confidence model in terms of four characteristics: reputation, stubbornness,Expand
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