1st Edition
Optimal Traffic Control Urban Intersections
364 Pages
102 B/W Illustrations
by
CRC Press
364 Pages
by
CRC Press
Also available as eBook on:
Despite traffic circles, four-way stop signs, lights regulated by timers or sensors, and other methods, the management of urban intersections remains problematic. Consider that transportation systems have all the features of so-called complex systems: the great number of state and control variables, the presence of uncertainty and indeterminism, the complex interactions between subsystems, the... Read more
INTRODUCTION
MATHEMATICAL MODEL OF TRAFFIC PROCESS ON A SIGNALIZED INTERSECTION
General Mathematical Description of the Dynamic Process on a Signalized Intersection
Uncontrolled System Inputs
Signal Group
Traffic Control
Queues - Isolated Signalized Intersections
The Output Function
CONTROL PROBLEM STATEMENT
The General Statement of the Traffic Control Problem (Signal Plan Choice)
The Set of Feasible Controls (Signal Plans)
Optimization Criteria
THE METHOD OF OPTIMAL SIGNAL PLAN DETERMINATION
The Statement of the Problem of Finding the Optimal Closed Path on Graph GS
The Method of Finding the Optimal Closed Path GS
DETERMINATION OF OPTIMAL CONTROL (SIGNAL PLAN)
Capacity Optimization
Delay Minimization
Extreme Values of Signal Plan Parameters
EFFECTS OF THE CHOICE OF THE COMPLETE SET OF SIGNAL GROUPS TO INTERSECTION PERFORMANCE
The Relation of Partial Ordering (refinement) and the Set of Feasible Controls
The Heuristics for the Choice of the Complete Set of Signal Groups
APPENDICES
I: Graphs, cliques
II: Equivalence Relation
III: Pseudo Code of Programs ClIQ and MINA
IV: Refinement Relation, Hasse Diagrams
V: Effective Values of Green, Red and Intergreen Times
VI: Determination of the Control Vectors Transition Graph
VII: Description of STECSOT Program (StructurE and Cycle Split Optimization Technique)
VIII: The Proof of Delay Function Convexity
References
Index
MATHEMATICAL MODEL OF TRAFFIC PROCESS ON A SIGNALIZED INTERSECTION
General Mathematical Description of the Dynamic Process on a Signalized Intersection
Uncontrolled System Inputs
Signal Group
Traffic Control
Queues - Isolated Signalized Intersections
The Output Function
CONTROL PROBLEM STATEMENT
The General Statement of the Traffic Control Problem (Signal Plan Choice)
The Set of Feasible Controls (Signal Plans)
Optimization Criteria
THE METHOD OF OPTIMAL SIGNAL PLAN DETERMINATION
The Statement of the Problem of Finding the Optimal Closed Path on Graph GS
The Method of Finding the Optimal Closed Path GS
DETERMINATION OF OPTIMAL CONTROL (SIGNAL PLAN)
Capacity Optimization
Delay Minimization
Extreme Values of Signal Plan Parameters
EFFECTS OF THE CHOICE OF THE COMPLETE SET OF SIGNAL GROUPS TO INTERSECTION PERFORMANCE
The Relation of Partial Ordering (refinement) and the Set of Feasible Controls
The Heuristics for the Choice of the Complete Set of Signal Groups
APPENDICES
I: Graphs, cliques
II: Equivalence Relation
III: Pseudo Code of Programs ClIQ and MINA
IV: Refinement Relation, Hasse Diagrams
V: Effective Values of Green, Red and Intergreen Times
VI: Determination of the Control Vectors Transition Graph
VII: Description of STECSOT Program (StructurE and Cycle Split Optimization Technique)
VIII: The Proof of Delay Function Convexity
References
Index
Biography
Slobodan Guberinic, Gordana Senborn, Bratislav Lazic
