Discrete dynamic optimization of N-stages control for isolated signalized intersections

The N-stages control problem for isolated signalized intersections is defined as the control problem to disperse initial queue lengths to their optimal steady-state values in N cycles. Based on a discrete-event model of a simplified isolated signalized intersection, the N-stages control problem is f...

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Bibliographic Details
Published in:Control engineering practice Vol. 21; no. 11; pp. 1553 - 1563
Main Authors: Haddad, Jack, Gutman, Per-Olof, Ioslovich, Ilya, Mahalel, David
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.11.2013
Subjects:
Algorithms
Discrete-event systems
Disperse
Dynamics
Intersections
Linear programming
Mathematical models
Optimal control
Optimization
Quadratic programming
Traffic signal control
Transient analysis
Traffic signal control
Discrete-event systems
Transient analysis
Optimal control
Optimization
ISSN:0967-0661, 1873-6939
Online Access:Get full text
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Summary:The N-stages control problem for isolated signalized intersections is defined as the control problem to disperse initial queue lengths to their optimal steady-state values in N cycles. Based on a discrete-event model of a simplified isolated signalized intersection, the N-stages control problem is formulated as a linear programming problem as well as a quadratic programming problem. A new algorithm is proposed for solving the discrete optimization problem by simple calculations, based on the optimal solution of the corresponding continuous-time problem. Numerical comparisons between the continuous-time optimal solution and the discrete-event optimal solutions, obtained from linear programming and sequential quadratic programming, are given for a few examples.
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ISSN:0967-0661
1873-6939
DOI:10.1016/j.conengprac.2013.07.007