On the Probabilistic and Physical Consistency of Traffic Random Variables and Models

Abstract

In this article we deal with the probabilistic and physical consistency of traffic-related random vari

A Strategic User Equilibrium for Independently Distributed Origin‐Destination Demands

“…Note that the proof of Proposition is also known as “thinning of a Poisson process,” a general and more detailed proof can be found in Corollary 9.17 in Boucherie and Serfozo () or in Clark and Watling () and Castillo et al. (). The right‐hand side of Equation is a product of a series of Poisson variables , whose parameters are .…”

Effect of Pulse‐and‐Glide Strategy on Traffic Flow for a Platoon of Mixed Automated and Manually Driven Vehicles

“…Except for structural conciseness, the selection of miscroscopic traffic flow model needs to consider its accuracy to capture driver car-following dynamics in both micro-and macroscopic levels. A number of microscopic car-following models have been introduced so far (Ghosh-Dastidar and Adeli, 2006;Castillo et al, 2014;Ngoduy and Wilson, 2014;Ward and Wilson, 2011). The human driver model used here is an improved version of the Gipps model, called the Intelligent Driver Model (IDM) (Treiber et al, 2000;Helbing et al, 2009).…”

A Markovian–Bayesian Network for Risk Analysis of High Speed and Conventional Railway Lines Integrating Human Errors

“…though corrected by the tiredness factor , explained before. Note that the factor being smaller than one must be used as a multiplying factor and cannot be used as a denominator to increase a failure probability because it can lead to values larger than one, that is, to an inconsistent model (see Castillo et al, ). On the other hand, some signals, depending on their state, require a given action from the driver, which, in case of being ignored, lead to a hazard or risk situation and possibly to an accident.…”