MODELING TRAFFIC FLOWS WITH QUEUEING MODELS: A REVIEW

Author:

VAN WOENSEL TOM1,VANDAELE NICO2

Affiliation:

1. Department of Technology Management, Eindhoven University of Technology, Den Dolech 2, Eindhoven, 5600MB, The Netherlands

2. Department of Applied Economic Sciences, University of Antwerp, Prinsstraat 13, Antwerp, B2000, Belgium

Abstract

In this paper, an overview of different analytic queueing models for traffic on road networks is presented. In the literature, it has been shown that queueing models can be used to adequately model uninterrupted traffic flows. This paper gives a broad review on this literature. Moreover, it is shown that the developed published methodologies (which are mainly single node oriented) can be extended towards queueing networks. First, an extension towards queueing networks with infinite buffer sizes is evaluated. Secondly, the assumption of infinite buffer sizes is dropped leading to queueing networks with finite buffer sizes. The impact of the buffer size when comparing the different queueing network methodologies is studied in detail. The paper ends with an analytical application tool to facilitate the optimal positioning of the counting points on a highway.

Publisher

World Scientific Pub Co Pte Lt

Subject

Management Science and Operations Research,Management Science and Operations Research

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