Unifiable multi-commodity kinematic wave model

A kinematic wave theory of multi-commodity network traffic flow

A systematic understanding of traffic dynamics on road networks is crucial for many transportation studies and can help to develop more efficient ramp metering, evacuation, signal control, and other management and control strategies. In this study, we present a theory of multi-commodity network traffic flow based on the Lighthill–Whitham–Richards (LWR) model. In particular, we attempt to analyz...

First - In - First - Out Properties of a Commodity - based Kinematic Wave Simulation Model

Computational efficiency and First-In-First-Out (FIFO) are both important issues in applications such as dynamic traffic assignment. In this paper, we first show by example the FIFO properties of a computationally efficient commodity-based kinematic wave (CKW) model of network traffic flow. After developing measurements of FIFO violation among commodities in location and time, based on misplace...

Assessment of multi class kinematic wave models

Model and Solution Approach for Multi objective-multi commodity Capacitated Arc Routing Problem with Fuzzy Demand

The capacitated arc routing problem (CARP) is one of the most important routing problems with many applications in real world situations. In some real applications such as urban waste collection and etc., decision makers have to consider more than one objective and investigate the problem under uncertain situations where required edges have demand for more than one type of commodity. So, in thi...

A Kinematic Model of Wave Propagation

We present a purely kinematic model of wave propagation in an excitable medium, namely cardiac tissue. The kinematic model is constructed from a standard reaction-diffusion model, using asymptotic techniques to track the position and velocity of each propagating wave front and wave back. The kinematic model offers a substantial improvement in computational efficiency without sacrificing the abi...