Reference
J. Haddad, B. De Schutter, D. Mahalel, I. Ioslovich, and P.-O. Gutman, "Optimal
steady-state control for isolated traffic intersections,"
IEEE
Transactions on Automatic Control, vol. 55, no. 11, pp. 2612-2617, Nov.
2010.
Abstract
A simplified isolated controlled vehicular traffic intersection with two
movements is considered. A discrete-event max-plus model is proposed to
formulate an optimization problem for the green-red switching sequence. In the
case when the criterion is a strictly increasing, linear function of the queue
lengths, the problem becomes a linear programming (LP) problem. Also, in this
case, the steady-state control problem can be solved analytically. A sufficient
and necessary condition for steady-state control is derived, and the structure
of optimal steady-state traffic control is revealed. Our condition is the same
as the necessary condition in the paper "The oversaturated intersection," by
D. Gazis and R. Potts (
Proceedings of the 2nd International
Symposium on the Theory of Traffic Flow, London, UK, 1963, pp. 221-237)
for both queue lengths to be non-increasing at an isolated intersection.
Publisher page
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BibTeX
@article{HadDeS:10-056,
author = {Haddad, Jack and De Schutter, Bart and Mahalel, David and
Ioslovich, Ilya and Gutman, Per-Olof},
title = {Optimal Steady-State Control for Isolated Traffic Intersections},
journal = {IEEE Transactions on Automatic Control},
volume = {55},
number = {11},
pages = {2612--2617},
month = nov,
year = {2010}
}