LighthillWhithamRichardsmalli

Lighthill-Whitham-Richards-Malli (LWRM) is a mathematical model used to describe the propagation of traffic flow. It was developed by Michael J. Lighthill and G.B. Whitham in 1955, and later extended by Peter Richards in 1956 and by M. J. Daganzo in 1994. The model is based on the conservation of vehicles and is expressed as a partial differential equation. It assumes that traffic flow is continuous and that vehicles interact only with their immediate neighbors. The LWRM model is widely used in traffic engineering and transportation planning to analyze traffic flow, predict congestion, and design traffic control systems. It has been extended and modified to include various factors such as lane changes, vehicle types, and driver behavior. Despite its simplicity, the LWRM model provides valuable insights into traffic flow dynamics and remains an important tool in the field of transportation engineering.