๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Modelling traffic flow with a time-dependent fundamental diagram

โœ Scribed by Tong Li

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
131 KB
Volume
27
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

โœฆ Synopsis

Abstract

We model traffic flow with a timeโ€dependent fundamental diagram. A timeโ€dependent fundamental diagram arises naturally from various factors such as weather conditions, traffic jam or modern traffic congestion managements, etc. The model is derived from a carโ€following model which takes into account the situation changes over the time elapsed time. It is a system of nonโ€concave hyperbolic conservation laws with timeโ€dependent flux and the sources.

The global existence and uniqueness of the solution to the Cauchy problem is established under the condition that the variation in time of the fundamental diagram is bounded. The zero relaxation limit of the solutions is found to be the unique entropy solution of the equilibrium equation. Copyright ยฉ 2004 John Wiley & Sons, Ltd.

๐Ÿ“œ SIMILAR VOLUMES

A general model for accelerated life tes
A general model for accelerated life testing with time-dependent covariates
โœ Huan-Jyh Shyur; E. A. Elsayed; James T. Luxhรธj ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 171 KB ๐Ÿ‘ 2 views

This paper introduces a general or "distribution-free" model to analyze the lifetime of components under accelerated life testing. Unlike the accelerated failure time (AFT) models, the proposed model shares the advantage of being "distribution-free" with the proportional hazard (PH) model and overco

A time dependent continuous review inven
A time dependent continuous review inventory model with compound poisson demand
โœ P. Banerjee; A. Hamidi-Noori; W. Knight ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 426 KB

## Abstract We discuss a time dependent optimal ordering policy for a finite horizon inventory system for which the provision of service is essential and thus no stockout is allowed. It is assumed that the system can place an order at any point in time during the horizon when it cannot meet the cus