Advances in Dynamic Network Modeling in Complex Transportation Systems

Online-Ressource (X, 316 p. 92 illus., 63 illus. in color, digital)

Complex Networks and Dynamic Systems ; 2

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Advances in Dynamic Network Modeling in Complex Transportation Systems; Preface; Contents; Chapter 1 Dynamic Traffic Assignment: A Survey of Mathematical Models and Techniques; 1.1 Introduction; 1.2 Mathematical Programming-based Static Traffic Assignment Model; 1.2.1 User-Equilibrium; 1.2.1.1 Mathematical Programming Formulation; 1.2.1.2 Equivalence with Wardrop User-Equilibrium Condition; 1.2.2 System Optimal Solution; 1.2.2.1 Mathematical Programming Formulation; 1.2.2.2 Equivalence with Marginal User-Equilibrium Condition; 1.2.3 Numerical Schemes

1.3 Variational Inequality-based Static Traffic Assignment Model1.4 Projected Dynamical Systems: Dynamic Variational Equation Model; 1.4.1 Dynamic Route Choice; 1.5 Dynamic Traffic Assignment; 1.5.1 Dynamic Traffic Assignment: Discrete Time; 1.5.2 Dynamic Traffic Assignment: Continuous Time; 1.6 Travel Time and FIFO Issue; 1.7 Macroscopic Model for DTA; 1.7.1 Greenshield's Model; 1.7.2 Generalized/Weak Solution for the LWR Model; 1.7.2.1 Generalized Solutions; 1.7.2.2 Weak Solutions; 1.7.3 Scalar Initial-Boundary Problem; 1.7.4 Macroscopic (PDE) Traffic Network; 1.7.5 Travel Time Dynamics

1.8 Simulation-Based DTA1.8.1 Iterations for User-Equilibrium; 1.8.2 Calibration from Field Data; 1.9 Traffic Operation Design and Feedback Control; 1.10 Conclusions; References; Chapter 2 The Max-Pressure Controller for Arbitrary Networks of Signalized Intersections; 2.1 Introduction; 2.2 Network Calculus for a Single Queue; 2.3 Performance Bounds for a Single Intersection; 2.3.1 Analysis of a Single Movement; 2.3.2 Analysis of All Movements at an Intersection; 2.3.3 Work-Conserving Controllers; 2.3.3.1 Actuating Single Phase Intersections; 2.3.3.2 Two Counter-Examples

2.3.3.3 The Adaptive Controller Problem2.4 Performance Bounds for a Network of Intersections; 2.4.1 Network Model; 2.4.2 Performance of Fixed-Cycle Controller; 2.4.3 Max-Pressure Controller; 2.4.4 Two Extensions of Max-Pressure Controller; 2.5 Discussion; 2.5.1 Intuition; 2.5.2 Comparison with Other Designs; 2.5.3 Model Limitations; 2.5.4 Future Work; 2.6 Conclusion; A Proof of Lemma 1; B Proof of Theorem 1; C Proof of Theorem 4; D Proof of (2.56); E Proof of (2.81); References

Chapter 3 Coordinated Feedback-Based Freeway Ramp Metering Control Strategies ``C-MIXCROS and D-MIXCROS'' that Take Ramp Queues into Account3.1 Introduction; 3.2 Motivation; 3.3 Description of the Coordinated Version of MIXCROS; 3.4 Freeway Traffic Model; 3.5 The Control Objective; 3.6 Coordinated MIXCROS Control Law; 3.7 Derivation of the Discrete Version of Coordinated MIXCROS Control Law; 3.7.1 Decoupled Control: D-MIXCROS; 3.7.2 Coupled Control: C-MIXCROS; 3.8 Macroscopic Simulation Model; 3.9 Microscopic Simulation Model; 3.10 Conclusions; References

Chapter 4 Solving the Integrated Corridor Control Problem Using Simultaneous Perturbation Stochastic Approximation

Dynamic Traffic Assignment: A Survey of Mathematical Models and Techniques -- The Max-pressure Controller for Arbitrary Networks of Signalized Intersections -- Coordinated Feedback-Based Freeway ramp Metering Control Strategies "C-MIXCROS and D-MIXROS" that Take Ramp Queues into Account -- Solving the Integrated Corridor Control Problem Using Simultaneous Perturbation Stochastic Approximation -- Analyses of Arterial Travel Times based on Probe Data -- A Multibuffer Model for LWR Road Networks -- Cell-based Dynamic Equilibrium Models -- Information Impacts on Traveler Behavior and Network Performance: State of Knowledge and Future Directions -- Modeling Within-Day Activity Rescheduling Decisions under Time-Varying Network Conditions -- Dynamic Navigation in Direction-Dependent Environments -- An Approach to Assess the Impact of Dynamic Congestion in Vehicle Routing Problems -- Incident Duration Prediction with Hybrid Tree-based Quantile Regression.

10.1007/978-1-4614-6243-9 [DOI]

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