Gipps' model of highway traffic

R E Wilson

Gipps' model of highway traffic

R E Wilson

Department of Mechanical Engineering

Research output: Working paper

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Abstract

We consider the car-following model introduced by P G Gipps (1981). This model is of practical importance as it powers the UK Transport Research Laboratory highway simulation package SISTM. Firstly, a brief derivation of the model is given in simplified circumstances. Second, we show how uniform flow solutions and a speed-headway function may be derived. Finally, we consider the linear stability of uniform flow solutions. Conditions for stability and onset of instability are derived.

Original language	English
Publication status	Unpublished - 2001

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http://hdl.handle.net/1983/507

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1 Conference Contribution (Conference Proceeding)

Gipps' model of Highway Traffic
Wilson, R., 2000, Progress of Industrial Mathematics at ECMI 2000. Springer, p. 293 - 297
Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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AB - We consider the car-following model introduced by P G Gipps (1981). This model is of practical importance as it powers the UK Transport Research Laboratory highway simulation package SISTM. Firstly, a brief derivation of the model is given in simplified circumstances. Second, we show how uniform flow solutions and a speed-headway function may be derived. Finally, we consider the linear stability of uniform flow solutions. Conditions for stability and onset of instability are derived.

M3 - Working paper

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Gipps' model of highway traffic

Abstract

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Gipps' model of Highway Traffic

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