Citation

Camus R, D'Amore A, Ukovich W. Math. Model. 1987; 8: 706-711.

Copyright

(Copyright © 1987, Elsevier Publishing)

DOI

10.1016/0270-0255(87)90674-9

PMID

unavailable

Abstract

The paper deals with state models with queues as state variables, which are the most appropriate ones to describe traffic controlled by signal settings, as it is in urban areas. In a first part, several features are scanned which are relevant in analizing traffic conditions in urban areas on the base of a general model. Then the 'free-flow' condition is defined, and some results are derived about its properties and on the influence the control variables may have on it. Finally a class of normative models is presented for periodic traffic control problems, which prescribe conditions for the control variables in order to guarantee free-flow.