Optimization for a special class of traffic flow models: combinatorial and continuous approaches

DOI10.3934/nhm.2014.9.315zbMath1302.90037OpenAlexW1965209502WikidataQ57558176 ScholiaQ57558176MaRDI QIDQ480077

Oliver Kolb, Sebastian Kühn, Simone Goettlich

Publication date: 8 December 2014

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2014.9.315

zbMATH Keywords

conservation lawscombinatorial optimizationtraffic networksadjoint calculuscontrol of discretized PDEs

Mathematics Subject Classification ID

Mixed integer programming (90C11) Optimality conditions for problems involving partial differential equations (49K20) Traffic problems in operations research (90B20)

Related Items (5)

A continuous buffer allocation model using stochastic processes ⋮ Modeling and optimizing traffic light settings in road networks ⋮ Evacuation modeling: a case study on linear and nonlinear network flow models ⋮ Optimal inflow control of production systems with finite buffers ⋮ On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws

Uses Software

• CPLEX
• KELLEY

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical discretization of Hamilton-Jacobi equations on networks
• Optimal input flows for a PDE-ODE model of supply chains
• Optimal control for continuous supply network models
• Comparison of the performance of four Eulerian network flow models for strategic air traffic management
• Adjoint calculus for optimization of gas networks
• Circulation of car traffic in congested urban areas
• Existence of solutions to Cauchy problems for a mixed continuum-discrete model for supply chains and networks
• An SQP method for general nonlinear programs using only equality constrained subproblems
• A new technique for inconsistent QP problems in the SQP method
• Evacuation dynamics influenced by spreading hazardous material
• Mathematical optimization of water networks.
• Traffic light control: a case study
• Mathematical models for vehicular traffic
• Optimal control for traffic flow networks
• Optimal distribution of traffic flows in emergency cases
• Combination of Nonlinear and Linear Optimization of Transient Gas Networks
• Optima and Equilibria for a Model of Traffic Flow
• Production systems with limited repair capacity
• Modelling supply networks with partial differential equations
• Packet Flow on Telecommunication Networks
• A Fluid Dynamic Model for Telecommunication Networks with Sources and Destinations
• Modeling, Simulation, and Optimization of Supply Chains
• A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations
• High-Resolution Nonoscillatory Central Schemes with Nonstaggered Grids for Hyperbolic Conservation Laws
• Modeling, Simulation, and Optimization of Traffic Flow Networks
• A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
• SIMPLIFIED DYNAMICS AND OPTIMIZATION OF LARGE SCALE TRAFFIC NETWORKS
• Traffic Flow on a Road Network
• Combinatorial and Continuous Models for the Optimization of Traffic Flows on Networks
• On kinematic waves II. A theory of traffic flow on long crowded roads
• Front tracking for hyperbolic conservation laws

This page was built for publication: Optimization for a special class of traffic flow models: combinatorial and continuous approaches