According to the duality theory of traffic flow any well-posed kinematic wave (KW) and/or variational theory (VT) problem can be solved with the same methods either on the time-space plane or the time vs vehicle number plane. To achieve this symmetry, the model parameters and the boundary data...

Hypercongestion is the situation where a certain traffic flow occurs at a combination of low speed and high density, and a more favorable combination of these could produce the same flow. The macroscopic fundamental diagram (MFD) allows for such hypercongestion, but does not explicitly describe...

The urban transportation system is vital for efficient daily travel. Understanding how urban road network density and width influence traffic performance is crucial for informed decision-making in urban planning. In this study, we designed three homogeneous square road networks with varying...

Hypercongestion is the situation where a certain traffic flow occurs at a combination of low speed and high density, and a more favorable combination of these could produce the same flow. The macroscopic fundamental diagram (MFD) allows for such hypercongestion, but does not explicitly describe...

Thesis (MSc (Mathematical Sciences))--Stellenbosch University, 2011

The study of random graphs has become very popular for real-life network modeling, such as social networks or financial networks. Inhomogeneous long-range percolation (or scale-free percolation) on the lattice Zd, d Ï 1, is a particular attractive example of a random graph model because it...

We employ a detailed two-stage model to simulate the operation of the Central Eastern European electricity market and network. Implementing different cases of coordination in congestion management between national transmission system operators, numerical results show the beneficial impact of...

On a typical day, more than 53 million tons of goods valued at about $36 million are moved on the US multimodal transportation network. An efficient freight transportation industry is the key in facilitating the required movement of raw materials and finished products. Among different modes of...