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Hindawi Publishing Corporation Discrete Dynamics in Nature and Society Volume 2013, Article ID 234970, 2 pages http://dx.doi.org/10.1155/2013/234970 Editorial Discrete Dynamics in Transportation System Wuhong Wang, 1 Klaus Bengler, 2 and Geert Wets 3 1 Department of Transportation Engineering, Beijing Institute of Technology, Beijing 100081, China 2 Lehrstuhl f¨ ur Ergonomie, Technische Universit¨ at M¨ unchen, 85747 Munich, Germany 3 Transportation Research Institute (IMOB), Hasselt University, 3590 Diepenbeek, Belgium Correspondence should be addressed to Wuhong Wang; [email protected] Received 24 October 2012; Accepted 31 October 2012 Copyright © 2013 Wuhong Wang et al. is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1. Overview A transportation system is a dynamic, diverse, random and complex system, which consists of road users, vehicles, roadway, and the environment. An efficient transportation system is essential for the function and prosperity of modern, industrialized societies, and any disturbance of the compo- nents will transform the state of the whole system. A transportation system exhibits extremely complex behavior derived from several components: the heteroge- neous nature of human behavior, highly nonlinear group dynamics, and large system dimensions. Advances in mobil- ity are most clearly illustrated by the spread of motorized traf- fic and transport and the development of the transportation industry, including vehicle manufacturing and its associated infrastructure. However, because of the growth of the trans- portation system, it also shows some negative impacts such as the increasing number of traffic accidents, the danger of health problems due to pollution, and the possibility of eco- nomical drawbacks due to congestion problems. erefore, to reduce these negative impacts, the current developments in the transportation system represent one of the main challenges for information science and intelligent technology. In order to reach a more efficient and safe road usage, some innovative techniques are performing in a transporta- tion system, for example, intelligent transportation system (ITS). ITS includes a wide and growing suite of technolo- gies and applications, aiming at providing available services relating to different modes of transportation and traffic management and enabling various users to make safer, more coordinated, and “smarter,” use of transportation system. e whole techniques of ITS can be divided into two parts: stand-alone systems and cooperative systems. e two kinds of systems should work together to deliver the most efficient, safe, secure and comfortable journey. To tackle the problems that were introduced before, traffic on an urban transportation system can be considered as a dynamical system. In recent years, some researches based on chaos theory were used to describe the traffic flow. Nonlinear chaotic phenomena was found in the short-term traffic flows, and even some implications were discussed for urban and transportation planning and forecasting. Period doubling, intermittency, and quasiperiodicity would make the trans- portation system into chaotic. e chaotic traffic flow model is a macroscopic model, which was established by adopting car following model. e model is a discrete and dynamic one derived from both the flow-density-speed fundamental diagram and the Greenshield’s model, which use occupancy as variable and the ratio of free flow and average speed as con- trol parameter. With the development of society, the transport system shows a high complex and variational scene and enormous stochasticity. Various transportation problems and activities, such as accidents, unreasonable control signal, and tem- porary society actives, are derived from nonlinear singular factors which are the main causes of the stochasticity. is stochasticity can be defined as the impedance of the path. Consequently, the problem proposed how to find out the expected shortest path in a transport network, where the link travel times are modeled as a continuous-time stochastic process. e famous approaches for solving the problem are the Bellman’s dynamic programming method for directed networks, the Dijkstra labeling method, and Bellman- Ford successive approximation method for networks with

Editorial Discrete Dynamics in Transportation Systeme chaotic tra c ow model is a macroscopic model, which was established by adopting car following model. e model is a discrete and

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  • Hindawi Publishing CorporationDiscrete Dynamics in Nature and SocietyVolume 2013, Article ID 234970, 2 pageshttp://dx.doi.org/10.1155/2013/234970

    EditorialDiscrete Dynamics in Transportation System

    Wuhong Wang,1 Klaus Bengler,2 and Geert Wets3

    1 Department of Transportation Engineering, Beijing Institute of Technology, Beijing 100081, China2 Lehrstuhl für Ergonomie, Technische Universität München, 85747 Munich, Germany3 Transportation Research Institute (IMOB), Hasselt University, 3590 Diepenbeek, Belgium

    Correspondence should be addressed to Wuhong Wang; [email protected]

    Received 24 October 2012; Accepted 31 October 2012

    Copyright © 2013 Wuhong Wang et al.This is an open access article distributed under the Creative Commons Attribution License,which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

    1. Overview

    A transportation system is a dynamic, diverse, randomand complex system, which consists of road users, vehicles,roadway, and the environment. An efficient transportationsystem is essential for the function and prosperity of modern,industrialized societies, and any disturbance of the compo-nents will transform the state of the whole system.

    A transportation system exhibits extremely complexbehavior derived from several components: the heteroge-neous nature of human behavior, highly nonlinear groupdynamics, and large system dimensions. Advances in mobil-ity aremost clearly illustrated by the spread ofmotorized traf-fic and transport and the development of the transportationindustry, including vehicle manufacturing and its associatedinfrastructure. However, because of the growth of the trans-portation system, it also shows some negative impacts suchas the increasing number of traffic accidents, the danger ofhealth problems due to pollution, and the possibility of eco-nomical drawbacks due to congestion problems. Therefore,to reduce these negative impacts, the current developmentsin the transportation system represent one of the mainchallenges for information science and intelligent technology.

    In order to reach a more efficient and safe road usage,some innovative techniques are performing in a transporta-tion system, for example, intelligent transportation system(ITS). ITS includes a wide and growing suite of technolo-gies and applications, aiming at providing available servicesrelating to different modes of transportation and trafficmanagement and enabling various users to make safer, morecoordinated, and “smarter,” use of transportation system.The whole techniques of ITS can be divided into two parts:

    stand-alone systems and cooperative systems. The two kindsof systems should work together to deliver the most efficient,safe, secure and comfortable journey.

    To tackle the problems that were introduced before, trafficon an urban transportation system can be considered as adynamical system. In recent years, some researches based onchaos theory were used to describe the traffic flow. Nonlinearchaotic phenomena was found in the short-term traffic flows,and even some implications were discussed for urban andtransportation planning and forecasting. Period doubling,intermittency, and quasiperiodicity would make the trans-portation system into chaotic. The chaotic traffic flow modelis a macroscopic model, which was established by adoptingcar following model. The model is a discrete and dynamicone derived from both the flow-density-speed fundamentaldiagram and the Greenshield’s model, which use occupancyas variable and the ratio of free flow and average speed as con-trol parameter.

    With the development of society, the transport systemshows a high complex and variational scene and enormousstochasticity. Various transportation problems and activities,such as accidents, unreasonable control signal, and tem-porary society actives, are derived from nonlinear singularfactors which are the main causes of the stochasticity. Thisstochasticity can be defined as the impedance of the path.Consequently, the problem proposed how to find out theexpected shortest path in a transport network, where thelink travel times are modeled as a continuous-time stochasticprocess. The famous approaches for solving the problem arethe Bellman’s dynamic programming method for directednetworks, the Dijkstra labeling method, and Bellman-Ford successive approximation method for networks with

  • 2 Discrete Dynamics in Nature and Society

    nonnegative cost coefficients. Some important applicationsof the path optimization problem include vehicle routingin transportation systems, traffic routing in communicationnetworks, and path planning in robotic systems.

    Discrete optimization is a specific branch of optimizationin applied mathematics and computer science. A very well-known application area of discrete optimization is a railtransport system. It helps us to plan and optimize the railroadnetwork, in particular, the computation of the line plans, trainschedules, and schedules of rolling stock. For example, theline planning consists in choosing a set of operating lines andits frequencies to serve the passenger demand and to optimizesome given objective. However, the process of privatization ofstate-owned railroads enforces the efficient resource utiliza-tion. For this reason, cost-optimal line planning is modeled.Besides the routes and the frequencies, in the cost-optimalline planning approach, one has to find the optimal number ofcoaches per train, based on trivial estimates of the circulationof rolling stock.

    To solve problems of a transportation system, next to opti-mization also human behavior plays a crucial role. Amongvarious disturbances of transportation system, the reliabilityof human action in transportation system plays a crucialrole in optimizing both person-task fit and safety issues.According to the result of all investigations over the world,accidents are to be led back to more than 95% exclusively onthe driver’s behavior. Disturbances such as human error canmake the transportation system into a variety of unreliablestate. On the basis of the measuring system disturbances, theunstable state can be defined as varying degrees of safety, suchas conflict, near accident, or accident. Certainly, an unreliabletransportation system can also transform into a reliable stateby compensate strategies in safety efforts. The advanceddriver assistance systems (ADASs) is such a subsystem ofITS, which helps drivers in perception, decision making, andaction while driving and enhances the possibility of humanerror compensation, such as collision warning systems, lanedeparture warning systems, adaptive cruise control system(ACC), vision enhancement, and pedestrian detection.

    The focus of this special issue is to foster links betweenbasic and applied research relating to discrete dynamicsproblems in a transportation system. We invite original con-tributions on all topics in both new theoretical developmentsand studies of practical implementations, which propose andstudy novel dynamic and diverse models to reveal the mech-anism of transportation system.The topics include intelligenttransportation system (ITS), dynamic problem in urbantransport system, transit and rail systems operation, applica-tion of chaos in traffic flow, discrete and stochastic theory oftransport system, vehicle active safety and intelligent vehicle,discrete optimizationmethods in traffic system, traffic opera-tions, management and control, energy, transport policy andeconomics, driving behavior, and driver assistance system.

    2. Summary

    An efficient and safe transportation system is essential forthe function and prosperity of modern society. Nowadays,we have benefited from the rapid development of the

    transportation industry. However, we also have to sufferfrom serious problems in transportation. Therefore, manyresearchers are seeking solutions to make a transportationsystem more efficient and improve the operations by usingnew technologies and new methodologies.

    The analyzing, testing, modeling, and simulating of atransportation system and the state-of-the-art technologieswill collectively improve the accidents, congestion, and pol-lution emissions problem of the transportation system.

    This special issue aims at understanding the discretestate modeling the dynamic changes of the transportationsystem and finding a more reliable compensating approachto enhance the safety and efficiency of the transportationsystem.Webelieve that the papers in the special issue could bea representative study in the field of intelligent transportationsystem and help for a heuristic understanding of the currentdevelopment in the field of transportation safety.

    Wuhong WangKlaus Bengler

    Geert Wets

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