Some Mathematical Models of Traffic Behavior

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Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis Some Mathematical Models of Traffic Behavior by : Thomas B. Davinroy

Download or read book Some Mathematical Models of Traffic Behavior written by Thomas B. Davinroy and published by . This book was released on 1963 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Models

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Publisher : SIAM
ISBN 13 : 0898714087
Total Pages : 412 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematical Models by : Richard Haberman

Download or read book Mathematical Models written by Richard Haberman and published by SIAM. This book was released on 1998-12-01 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author uses mathematical techniques to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow.

Human Behaviour and Traffic Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 3662078090
Total Pages : 318 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Human Behaviour and Traffic Networks by : Michael Schreckenberg

Download or read book Human Behaviour and Traffic Networks written by Michael Schreckenberg and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do people behave in different traffic situations? Are there general laws for mathematical modelling of decision dynamics? The answers, given at the first international workshop on "Human Behaviour in Traffic Networks", are presented in this volume. In 13 articles, well-known experts report about their current work on experiments and modelling in this area. The topics range from psychological behaviour in traffic situations, traffic simulations of various aspects and market analysis to experiments with human participants used in experimental economics. The articles filled with many illustrations are aimed at interested students as well as experts in this field.

Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models

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Publisher : Springer Nature
ISBN 13 : 3030665607
Total Pages : 102 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models by : Gabriella Puppo

Download or read book Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models written by Gabriella Puppo and published by Springer Nature. This book was released on 2021-03-31 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book originates from the mini-symposium "Mathematical descriptions of traffic flow: micro, macro and kinetic models" organised by the editors within the ICIAM 2019 Congress held in Valencia, Spain, in July 2019. The book is composed of five chapters, which address new research lines in the mathematical modelling of vehicular traffic, at the cutting edge of contemporary research, including traffic automation by means of autonomous vehicles. The contributions span the three most representative scales of mathematical modelling: the microscopic scale of particles, the mesoscopic scale of statistical kinetic description and the macroscopic scale of partial differential equations.The work is addressed to researchers in the field.

Traffic Flow Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642324592
Total Pages : 505 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Traffic Flow Dynamics by : Martin Treiber

Download or read book Traffic Flow Dynamics written by Martin Treiber and published by Springer Science & Business Media. This book was released on 2012-10-11 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a comprehensive and instructive coverage of vehicular traffic flow dynamics and modeling. It makes this fascinating interdisciplinary topic, which to date was only documented in parts by specialized monographs, accessible to a broad readership. Numerous figures and problems with solutions help the reader to quickly understand and practice the presented concepts. This book is targeted at students of physics and traffic engineering and, more generally, also at students and professionals in computer science, mathematics, and interdisciplinary topics. It also offers material for project work in programming and simulation at college and university level. The main part, after presenting different categories of traffic data, is devoted to a mathematical description of the dynamics of traffic flow, covering macroscopic models which describe traffic in terms of density, as well as microscopic many-particle models in which each particle corresponds to a vehicle and its driver. Focus chapters on traffic instabilities and model calibration/validation present these topics in a novel and systematic way. Finally, the theoretical framework is shown at work in selected applications such as traffic-state and travel-time estimation, intelligent transportation systems, traffic operations management, and a detailed physics-based model for fuel consumption and emissions.

Models for Vehicular Traffic on Networks

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Publisher :
ISBN 13 : 9781601330192
Total Pages : 0 pages
Book Rating : 4.3/5 (31 download)

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Book Synopsis Models for Vehicular Traffic on Networks by : Mauro Garavello

Download or read book Models for Vehicular Traffic on Networks written by Mauro Garavello and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Behavior Analysis and Modeling of Traffic Participants

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Publisher : Springer Nature
ISBN 13 : 3031015096
Total Pages : 160 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Behavior Analysis and Modeling of Traffic Participants by : Xiaolin Song

Download or read book Behavior Analysis and Modeling of Traffic Participants written by Xiaolin Song and published by Springer Nature. This book was released on 2022-06-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: A road traffic participant is a person who directly participates in road traffic, such as vehicle drivers, passengers, pedestrians, or cyclists, however, traffic accidents cause numerous property losses, bodily injuries, and even deaths to them. To bring down the rate of traffic fatalities, the development of the intelligent vehicle is a much-valued technology nowadays. It is of great significance to the decision making and planning of a vehicle if the pedestrians' intentions and future trajectories, as well as those of surrounding vehicles, could be predicted, all in an effort to increase driving safety. Based on the image sequence collected by onboard monocular cameras, we use the Long Short-Term Memory (LSTM) based network with an enhanced attention mechanism to realize the intention and trajectory prediction of pedestrians and surrounding vehicles. However, although the fully automatic driving era still seems far away, human drivers are still a crucial part of the road‒driver‒vehicle system under current circumstances, even dealing with low levels of automatic driving vehicles. Considering that more than 90 percent of fatal traffic accidents were caused by human errors, thus it is meaningful to recognize the secondary task while driving, as well as the driving style recognition, to develop a more personalized advanced driver assistance system (ADAS) or intelligent vehicle. We use the graph convolutional networks for spatial feature reasoning and the LSTM networks with the attention mechanism for temporal motion feature learning within the image sequence to realize the driving secondary-task recognition. Moreover, aggressive drivers are more likely to be involved in traffic accidents, and the driving risk level of drivers could be affected by many potential factors, such as demographics and personality traits. Thus, we will focus on the driving style classification for the longitudinal car-following scenario. Also, based on the Structural Equation Model (SEM) and Strategic Highway Research Program 2 (SHRP 2) naturalistic driving database, the relationships among drivers' demographic characteristics, sensation seeking, risk perception, and risky driving behaviors are fully discussed. Results and conclusions from this short book are expected to offer potential guidance and benefits for promoting the development of intelligent vehicle technology and driving safety.

Dynamics in Logistics

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Publisher : Springer Nature
ISBN 13 : 303088662X
Total Pages : 322 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Dynamics in Logistics by : Michael Freitag

Download or read book Dynamics in Logistics written by Michael Freitag and published by Springer Nature. This book was released on 2021-12-02 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book highlights the interdisciplinary aspects of logistics research. Featuring empirical, methodological, and practice-oriented articles, it addresses the modelling, planning, optimization and control of processes. Chiefly focusing on supply chains, logistics networks, production systems, and systems and facilities for material flows, the respective contributions combine research on classical supply chain management, digitalized business processes, production engineering, electrical engineering, computer science and mathematical optimization. To celebrate 25 years of interdisciplinary and collaborative research conducted at the Bremen Research Cluster for Dynamics in Logistics (LogDynamics), in this book hand-picked experts currently or formerly affiliated with the Cluster provide retrospectives, present cutting-edge research, and outline future research directions.

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 0817649468
Total Pages : 437 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences by : Giovanni Naldi

Download or read book Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences written by Giovanni Naldi and published by Springer Science & Business Media. This book was released on 2010-08-12 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

Modeling Behavior in Vehicular and Pedestrian Traffic Flow

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Publisher : ProQuest
ISBN 13 : 9780549924487
Total Pages : pages
Book Rating : 4.9/5 (244 download)

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Book Synopsis Modeling Behavior in Vehicular and Pedestrian Traffic Flow by : Michael J. Markowski

Download or read book Modeling Behavior in Vehicular and Pedestrian Traffic Flow written by Michael J. Markowski and published by ProQuest. This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation investigates the design and analysis of vehicular and pedestrian models. A type of vehicular model is developed both to offer novel contributions to vehicle behavior modeling as well as to use as a tool to learn how to create an even more complex behavioral model of pedestrian movement. First, the current state of modeling is investigated including purely behavioral studies and engineering modeling techniques. Behavioral studies are drawn largely from the field of urban affairs and planning while engineering modeling methods are drawn from civil engineering, mathematics, and computer science. Second, a model of vehicular traffic is constructed by first implementing existing work in software. Existing work focuses on single lane traffic, so we next extend the model to support lane changing in multiple lanes. The new mathematical rules are implemented in software and effects of lane changing then studied. The model contributes new capabilities to the field and provides experience to next create a more complex pedestrian model. Third, an algorithmic model of pedestrian movement is created. At its simplest level, steering rules are used that are drawn from the literature. New rules and models are created to support groups and simple social interaction. Learning and memory are then modeled so that simulated pedestrians are human-like in ways that have an effect on congestion. Fourth, software is developed that implements the model. While the model offers a means, i.e., function parameters, for calibration, an implementation must exist to take advantage of that. The software is designed using an object-oriented approach in conjunction with agent based modeling. A pedestrian is an object and agent, learns, has memory, follows its schedule, and moves in, affects and is affected by its environment, and explores the environment. Results from the calibrated software show that the model produces reliable results for situations where the modeled behavior is typical. Contributions to transportation engineering include the vehicular and especially the pedestrian model. Proof of concept software implementation shows the utility of the models and how they can be used to ease and improve design of vehicular and pedestrian areas.

Delayed Traffic Models in Multiple Scales

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Publisher : Fraunhofer Verlag
ISBN 13 : 9783839617083
Total Pages : 120 pages
Book Rating : 4.6/5 (17 download)

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Book Synopsis Delayed Traffic Models in Multiple Scales by : Thomas Jung

Download or read book Delayed Traffic Models in Multiple Scales written by Thomas Jung and published by Fraunhofer Verlag. This book was released on 2021-04-08 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traffic becomes an ever more important topic in modern days, as it plays a vital role in economics, environmental issues and the daily life of most people. The simulation of traffic with mathematical models dates back to at least the 1950s. In that, microscopic models with explicit time delays, modeling the reaction times of both the driver and the car, are well known. Starting from them, we derive new macroscopic traffic models, which keep this explicit time delay. This leaves us with partial differential equations with explicit time delay, a hardly investigated type of differential equations. In this thesis we take a closer look at the analysis and especially the numerics for this models, show some properties of the equations and the numerical discretizations, and compare them to well-known, undelayed models. Finally, we will fit these models to real data and run simulations, comparing the behavior to undelayed models. Also, we compare the results to real measurements, showing that the simulations are often closer to real world traffic than undelayed simulations.

Equilibrium and Advanced Transportation Modelling

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Publisher : Springer Science & Business Media
ISBN 13 : 1461557577
Total Pages : 333 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Equilibrium and Advanced Transportation Modelling by : P. Marcotte

Download or read book Equilibrium and Advanced Transportation Modelling written by P. Marcotte and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each chapter in Equilibrium and Advanced Transportation Modelling develops a topic from basic concepts to the state-of-the-art, and beyond. All chapters relate to aspects of network equilibrium. Chapter One advocates the use of simulation models for the representation of traffic flow movements at the microscopic level. Chapter Two presents travel demand systems for generating trip matrices from activity-based models, taking into account the entire daily schedule of network users. Chapter Three examines equilibrium strategic choices adopted by the passengers of a congested transit system, carefully addressing line selection at boarding and transfer nodes. Chapter Four provides a critical appraisal of the traditional process that consists in sequentially performing the tasks of trip generation, trip distribution, mode split and assignment, and its impact on the practice of transportation planning. Chapter Five gives an insightful overview of stochastic assignment models, both in the static and dynamic cases. Chapters Six and Seven investigate the setting of tolls to improve traffic flow conditions in a congested transportation network. Chapter Eight provides a unifying framework for the analysis of multicriteria assignment models. In this chapter, available algorithms are summarized and an econometric perspective on the estimation of heterogeneous preferences is given. Chapter Nine surveys the use of hyperpaths in operations research and proposes a new paradigm of equilibrium in a capacitated network, with an application to transit assignment. Chapter Ten analyzes the transient states of a system moving towards equilibrium, using the mathematical framework of projected dynamical systems. Chapter Eleven discusses an in-depth survey of algorithms for solving shortest path problems, which are pervasive to any equilibrium algorithm. The chapter devotes special attention to the computation of dynamic shortest paths and to shortest hyperpaths. The final chapter considers operations research tools for reducing traffic congestion, in particular introducing an algorithm for solving a signal-setting problem formulated as a bilevel program.

Advances in Dynamic Network Modeling in Complex Transportation Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461462436
Total Pages : 322 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Advances in Dynamic Network Modeling in Complex Transportation Systems by : Satish V. Ukkusuri

Download or read book Advances in Dynamic Network Modeling in Complex Transportation Systems written by Satish V. Ukkusuri and published by Springer Science & Business Media. This book was released on 2013-03-21 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book focuses on recent developments in Dynamic Network Modeling, including aspects of route guidance and traffic control as they relate to transportation systems and other complex infrastructure networks. Dynamic Network Modeling is generally understood to be the mathematical modeling of time-varying vehicular flows on networks in a fashion that is consistent with established traffic flow theory and travel demand theory. Dynamic Network Modeling as a field has grown over the last thirty years, with contributions from various scholars all over the field. The basic problem which many scholars in this area have focused on is related to the analysis and prediction of traffic flows satisfying notions of equilibrium when flows are changing over time. In addition, recent research has also focused on integrating dynamic equilibrium with traffic control and other mechanism designs such as congestion pricing and network design. Recently, advances in sensor deployment, availability of GPS-enabled vehicular data and social media data have rapidly contributed to better understanding and estimating the traffic network states and have contributed to new research problems which advance previous models in dynamic modeling. A recent National Science Foundation workshop on “Dynamic Route Guidance and Traffic Control” was organized in June 2010 at Rutgers University by Prof. Kaan Ozbay, Prof. Satish Ukkusuri , Prof. Hani Nassif, and Professor Pushkin Kachroo. This workshop brought together experts in this area from universities, industry and federal/state agencies to present recent findings in this area. Various topics were presented at the workshop including dynamic traffic assignment, traffic flow modeling, network control, complex systems, mobile sensor deployment, intelligent traffic systems and data collection issues. This book is motivated by the research presented at this workshop and the discussions that followed.

Traffic Equilibrium Methods

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Publisher : Springer
ISBN 13 : 9783642481246
Total Pages : 435 pages
Book Rating : 4.4/5 (812 download)

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Book Synopsis Traffic Equilibrium Methods by : Michael Florian

Download or read book Traffic Equilibrium Methods written by Michael Florian and published by Springer. This book was released on 2012-05-19 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest in the mathematical modeling of transportation systems stems from the need to predict how people might make use of new or improved transport infrastruc ture in order to evaluate the benefit of the required investments. To this end it is necessary to build models of the demand for transportation and models that de termine the way in which people who travel use the transportation network. If such models may be constructed and their validity reasonably assured, then the predic tion of the traffic flows on future and present transportation links may be carried out by simulating future situations and then evaluating the potential benefits of alternative improvement projects. In the attempts that were made to construct mathematical models of transportation networks, the notion of equilibrium plays a central role. Suppose that the demand for transportation, that is, the number of trips that occur between the - rious origins and destinations is known. Then it is necessary to determine how these trips are attracted to the alternative routes available between origins and destinations. Knight (1924), gave a simple and intuitively clear description of the behaviour of road traffic under conditions of congestion.

Traffic Simulation and Data

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Publisher : CRC Press
ISBN 13 : 148222870X
Total Pages : 264 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Traffic Simulation and Data by : Winnie Daamen

Download or read book Traffic Simulation and Data written by Winnie Daamen and published by CRC Press. This book was released on 2014-09-17 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A single source of information for researchers and professionals, Traffic Simulation and Data: Validation Methods and Applications offers a complete overview of traffic data collection, state estimation, calibration and validation for traffic modelling and simulation. It derives from the Multitude Project—a European Cost Action project that incorporates work packages defining traffic simulation practice and research; highway and network modeling; and synthesis, dissemination, and training. This book addresses the calibration and validation of traffic models, and introduces necessary frameworks and techniques. It also includes viable methods for sensitivity analyses, and incorporates relevant tools for application. The book begins with a brief summary of various data collection techniques that can be applied to collect different data types. It then showcases various data processing and enhancement techniques for improving the quality of collected data. It also introduces the techniques according to the type of estimation, for example microscopic data enhancement, traffic state estimation, feature extraction and parameter identification techniques, and origin–destination matrix estimation. The material discusses the measures of performance, data error and goodness of fit, and optimization algorithms. It also contains the sensitivity analyses of parameters in traffic models. Describes the various tasks of calibration and validation Considers the best use of available data Presents the sensitivity analysis method Discusses typical issues of data error in transportation system data and how these errors can impact simulation results Details various methodologies for data collection, sensitivity analysis, calibration, and validation Examines benefits that result from the application of these methods Traffic Simulation and Data: Validation Methods and Applications serves as a key resource for transport engineers and planners, researchers, and graduate students in transport engineering and planning.

Mathematical Models of Public Systems

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Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.X/5 ( download)

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Book Synopsis Mathematical Models of Public Systems by : George A. Bekey

Download or read book Mathematical Models of Public Systems written by George A. Bekey and published by . This book was released on 1971 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Traffic and Mobility

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Publisher : Springer Science & Business Media
ISBN 13 : 3642602363
Total Pages : 276 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Traffic and Mobility by : Werner Brilon

Download or read book Traffic and Mobility written by Werner Brilon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anyone who reflects on the future of society cannot do so without at the same time thinking about the future of our transportation systems. The dilemma is obvious. On the one hand, mobility must be maintained as it is crucial to economic development and because people are eager for individual mobility. On the other hand, traffic imposes heavy burdens on people and on the environment, on cities and communities and on our national economies. Finding a solution to that dilemma seems to be difficult, in fact we have not even developed a rough idea of how it could look like. This is why the North Rhine-Westphalia Science and Research Ministry came up with the plan to work out a well-founded scientific basis on which to solve the problems inherent in our transport system. A research network has been established and sponsored with government funds for a period of three years with a view to realising that objective. The "Traffic Simulation and Environmental Impact" research network is composed of researchers who have an excellent reputation as North Rhine-Westphalia traffic experts. Cutting across various disciplines of knowledge, the network aims to integrate transportation and natural sciences, particularly physics and mathematics, in a move to profit by the synergy between technical know-how and innovative methodology. The present volume is intended as a progress report and a prologue to the forthcoming international colloquium which represents the highlight and at the same time the end of the three-year project funding period.