Minimising stop and go waves to optimise traffic flow.

DOI10.1016/S0893-9659(04)90107-3zbMath1058.49011OpenAlexW1975898385MaRDI QIDQ1764584

Alessandro Groli, Rinaldo M. Colombo

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(04)90107-3

zbMATH Keywords

conservation lawsintegral functionaltraffic flowoptimal control of PDE

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Hyperbolic conservation laws (35L65) Methods involving semicontinuity and convergence; relaxation (49J45) Traffic problems in operations research (90B20)

Related Items (11)

On the initial boundary value problem for Temple systems ⋮ Wave front tracking in systems of conservation laws. ⋮ Controllability of the one-dimensional fractional heat equation under positivity constraints ⋮ Global well posedness of traffic flow models with phase transitions ⋮ Well-posedness of Networked Hyperbolic Systems of Balance Laws ⋮ Traffic optimization at junctions to improve vehicular flows ⋮ Unnamed Item ⋮ OPTIMIZATION OF TRAFFIC ON ROAD NETWORKS ⋮ Stability estimates for non-local scalar conservation laws ⋮ Non-local multi-class traffic flow models ⋮ Nonlinear dynamics of traffic jams

Cites Work

• Unnamed Item
• Unnamed Item
• On the optimization of a conservation law
• Continuous dependence for \(2 \times 2\) conservation laws with boundary
• Shift-differentiability of the flow generated by a conservation law
• On the shift differentiability of the flow generated by a hyperbolic system of conservation laws
• A \(2\times 2\) hyperbolic traffic flow model
• On the Attainable Set for Scalar Nonlinear Conservation Laws with Boundary Control
• Hyperbolic Phase Transitions in Traffic Flow
• Uniqueness and Stability of $ L^\infty$ Solutions for Temple Class Systems with Boundary and Properties of the Attainable Sets
• An $n$ -populations model for traffic flow
• Resurrection of "Second Order" Models of Traffic Flow
• On the Attainable Set for Temple Class Systems with Boundary Controls
• Shock Waves on the Highway
• On kinematic waves II. A theory of traffic flow on long crowded roads
• The semigroup generated by a Temple class system with non-convex flux function.

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