A Cell-Based Traffic Control Formulation: Strategies and Benefits of Dynamic Timing Plans

Authors:
Hong K. Lo
Affiliations:
-
Venue:
Transportation Science
Year:
2001

Citing 0
Cited 3

A Mathematical Logic Approach for the Transformation of the Linear Conditional Piecewise Functions of Dispersion-and-Store and Cell Transmission Traffic Flow Models into Linear Mixed-Integer Form

Transportation Science
A robust transportation signal control problem accounting for traffic dynamics

Computers and Operations Research
A cell-based dynamic traffic assignment model: Formulation and properties

Mathematical and Computer Modelling: An International Journal

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Abstract

This study developed a dynamic traffic-control formulation that considers the entire Fundamental Diagram. This incorporation of the Fundamental Diagram is especially important for modeling oversaturated traffic. For this purpose, traffic is modeled after the cell-transmission model (CTM), which is a convergent numerical approximation to the hydrodynamic model. We transformed CTM to a set of mixed-integer constraints and subsequently cast the dynamic signal-control problem to a mixed-integer linear program. As a dynamic platform, the formulation is flexible in dealing with dynamic timing plans and traffic patterns. It can derive dynamic as well as fixed timing plans and address preexisting traffic conditions and time-dependent demand patterns. This study produced results to show the benefit of dynamic timing plans and demonstrated that some of the existing practice on signal coordination could be further improved.