scholarly journals Distributed mathematical models of undetermined "without preference" motion of traffic flow

2011 ◽  
Keyword(s):  
Mathematical Models ◽  
Traffic Flow

scholarly journals Airworthiness Support Measures Analogy to the Prospective Roundabouts Alternatives: Theoretical Aspects

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Andriy Viktorovich Goncharenko
Keyword(s):  
Mathematical Models ◽  
Traffic Flow ◽  
Lagrange Equation ◽  
Integral Form ◽  
Environmental Safety ◽  
Transport Infrastructure ◽  
Transportation Services ◽  
Modeling And Optimization ◽  
Support Measures ◽  
Capacity Model

The goal of this paper is to investigate theoretically the possible directions of some specified methods for the alternative roundabouts effectiveness modeling and optimization. The out-coming criteria have an economical interpretation. Those are the objective functionals of the alternative roundabouts effectiveness as the profit gained in the course of the traffic flow changes in the view of the integral form. This is modeled taking into consideration the transport infrastructure functioning elements such as the traffic flow of a capacity model. It takes into account two major components of the transportation services which are the alternative roundabouts business’ incomes and expenses relating to the roundabouts transportation worthiness support. The prototypic approach is that one from the aircraft airworthiness support measures models. Corresponding managerial influences with respect to environmental, safety, utility, and other issues, as well as probable impacts, are modeled with the construction of the relevant under-integral expressions, equations, and appropriate coefficients and parameters of the mathematical models. The achieved theoretical results, on the basis of the Euler-Lagrange equation and accepted assumptions, have been checked for the sufficiency of the objective functional maximum presence at the “point” with the use of the conducted computer simulation. The necessary diagrams are plotted in order to illustrate the theoretical contemplations and speculations, as well as to check the correctness of the applied mathematical derivations and visualize the models’ preciseness and abilities. The theoretically constructed mathematical models have a significance of the prognostic values applicability required at the alternative roundabouts effectiveness modeling and optimization ensuring their design progress and evolutions.

Encounters in Restricted Waters

1984 ◽  
Vol 37 (2) ◽  
pp. 271-278
Author(s):  
T. G. Coldwell
Keyword(s):  
Mathematical Models ◽  
Traffic Flow ◽  
Presidential Address ◽  
Royal Institute ◽  
Human Element ◽  
Marine Traffic

Lewison gave a brief outline in modelling of marine traffic flow and gave four possible definitions of the ship to ship encounter as well as developing his own optimal criteria. Barratt has been working on the concept of an encounter for several years and has developed the postulates given by Stratton in a presidential address to the Royal Institute of Navigation in 1971. It is interesting to note that Lewison1 distinguished between a ‘ship domain’, which is the area around a vessel that it is observed to keep free of other traffic and is estimated in terms of the actual density of shipping observed to occur around a vessel, and an ‘encounter area’, which is a radius traced out around a ship in the different directions from which threats may come and is the desired area which the vessel should try to keep clear. The nicety of the ‘encounter area’ is that it is generated in terms of mathematical models and in quantitative terms, and can be reasonably easily established; but it totally ignores any human element or navigators' preferences, whereas the ship domain takes both these factors into account and can only be established after long observation of actual traffic behaviour.

scholarly journals MODELLING OF URBAN TRAFFIC FLOW

2017 ◽  
Vol 1 ◽  
pp. 109 ◽  
Author(s):  
Sharif E. Guseynov ◽  
Alexander V. Berezhnoy
Keyword(s):  
Differential Equation ◽  
Mathematical Models ◽  
Traffic Flow ◽  
Initial Value Problem ◽  
Planck Equation ◽  
Continuous Model ◽  
Urban Traffic ◽  
Sufficient Condition ◽  
Initial Value ◽  
Integro Differential Equation

In this paper non-deterministic motion of urban traffic is studied under certain assumptions. Based on those assumptions discrete and continuous mathematical models are developed: continuous model is written as the Cauchy initial-value problem for the integro-differential equation, whence among other things it is obtained the Fokker-Planck equation. Besides, the sufficient condition ensuring the mathematical legitimacy of the developed continuous model is formulated.

scholarly journals Traffic flow dynamics on road network fragments using two-dimensional mathematical models

2016 ◽  
pp. 1-20 ◽  
Author(s):  
Marina Alexandrovna Trapeznikova ◽  
Antonina Alexandrovna Chechina ◽  
Natalia Gennadievna Churbanova
Keyword(s):  
Mathematical Models ◽  
Traffic Flow ◽  
Road Network ◽  
Flow Dynamics ◽  
Two Dimensional

Modelling Encounter Rates in Marine Traffic Flows with Particular Application to the Dover Strait

1972 ◽  
Vol 25 (3) ◽  
pp. 381-382 ◽  
Author(s):  
J. Draper ◽  
C. Bennett
Keyword(s):  
Mathematical Models ◽  
Traffic Flow ◽  
Operational Research ◽  
Research Unit ◽  
Traffic Flows ◽  
Encounter Rates ◽  
Marine Traffic ◽  
Division Department

A general programme of work with the overall aim of reducing the incidence of collisions in the Dover Strait has been commissioned by the Marine Division, Department of Trade and Industry. As part of the programme the Operational Research Unit in DTI is developing mathematical models of traffic flow, using inputs of data provided from the surveys mounted by NPL and described in the paper by Johnson and Wheatley.

Origin-Destination Matrix as a Way to Create a Basic Algorithm for Simulation a Load of Transport Network

2015 ◽  
Vol 725-726 ◽  
pp. 1218-1223
Author(s):  
Anastasiya Shevtsova ◽  
Marina Yablonovskaya ◽  
Alexey Borovskoy
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Traffic Flow ◽  
Transport Network ◽  
Traffic Flows ◽  
Basic Algorithm ◽  
Path Cost ◽  
Selection Of

Article is devoted to studying of traffic flows using the origin-destination matrix. The first paragraph of this article deals with the possibility of applying the origin-destination matrix when modeling load of transport network. The types of transportations, the factors that affect the loading of the transport network are described. The concept of a generalized path cost, interdistrict transportations and some others are considered. There are proposed several steps to create a origin-destination matrix. In the second paragraph of the paper is proposed the classification of mathematical models that can be applied in the simulation of traffic flow, as well as their features are marked. This will help in the processing of data for selection of a mathematical model that satisfies the requirements and objectives that have set themselves researchers. The conclusions on the application of mathematical models in the study of traffic flow are made.

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