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A Semi-Poisson Model of Traffic Flow

David Buckley

Open publisher page 161 citations

Abstract

A generalized semi-Poisson model of traffic flow is postulated, its implication in terms of headway distributions outlined, and its properties discussed briefly in relation to other models of traffic flow. The new headway distribution and certain other theoretical headway distributions are compared with over 10,000 headways covering a wide range of traffic flows. It is concluded that the model or its particularizations predict headways fairly well and could yield some insights into the nature of road traffic.

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What this paper is about

A generalized semi-Poisson model of traffic flow is postulated, its implication in terms of headway distributions outlined, and its properties discussed briefly in relation to other models of traffic flow. The new headway distribution and certain other theoretical headway distributions are compared with over 10,000 headways covering a wide range of traffic flows. It is concluded that the model or its particularizations predict headways fairly well and could yield some insights into the nature of road traffic.

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OpenAlex reports 161 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A generalized semi-Poisson model of traffic flow is postulated, its implication in terms of headway distributions outlined, and its properties discussed briefly in relation to other models of traffic flow. The new headway distribution and certain other theoretical headway distributions are compared with over 10,000 headways covering a wide range of traffic flows. It is concluded that the model or its particularizations predict headways fairly well and could yield some insights into the nature of road traffic.

Key concepts: Headway, Traffic flow (computer networking), Poisson distribution, Range (aeronautics), Flow (mathematics), Relation (database), Microscopic traffic flow model, Mathematics

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