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cc828ad2..27d43ebf 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/TUDthesis.log +++ b/ss2013/Bachelor Thesis/thesis_ug/TUDthesis.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.1415926-1.40.11 (MiKTeX 2.9) (preloaded format=pdflatex 2013.8.19) 20 AUG 2013 17:40 +This is pdfTeX, Version 3.1415926-1.40.11 (MiKTeX 2.9) (preloaded format=pdflatex 2013.8.19) 20 AUG 2013 18:50 entering extended mode **TUDthesis.tex ("C:\Daten\source\college\ss2013\Bachelor Thesis\thesis_ug\TUDthesis.tex" @@ -1336,47 +1336,59 @@ LaTeX Font Info: Try loading font information for T1+txtt on input line 4. 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{3}Einleitung}{4}{section.3} -\contentsline {section}{\numberline {4}Grundlagen}{6}{section.4} -\contentsline {subsection}{\numberline {4.1}Induktionsschleifen}{6}{subsection.4.1} -\contentsline {subsection}{\numberline {4.2}Adaptive Steuerung von Ampelanlagen}{7}{subsection.4.2} -\contentsline {subsection}{\numberline {4.3}Makro- und mikroskopische Modellierung von Verkehr}{7}{subsection.4.3} -\contentsline {section}{\numberline {5}Datenbasis}{9}{section.5} -\contentsline {subsection}{\numberline {5.1}Induktionsschleifenwerte}{9}{subsection.5.1} -\contentsline {subsubsection}{\numberline {5.1.1}CSV-Dateien der Induktionsschleifenwerte}{9}{subsubsection.5.1.1} -\contentsline {subsubsection}{\numberline {5.1.2}MYSQL-Daten der JEE6 Anwendung zur Bereitstellung von Verkehrsdaten}{9}{subsubsection.5.1.2} -\contentsline {subsection}{\numberline {5.2}Geographischer Ausschnitt der Daten}{11}{subsection.5.2} -\contentsline {subsection}{\numberline {5.3}CAD-Zeichnungen der Kreuzungen}{12}{subsection.5.3} -\contentsline {subsection}{\numberline {5.4}Abbiegewahrscheinlichkeiten}{12}{subsection.5.4} -\contentsline {section}{\numberline {6}Graphen-basiertes Verkehrsmodell}{13}{section.6} -\contentsline {subsection}{\numberline {6.1}H"andische Modellierung der Ministadt}{14}{subsection.6.1} -\contentsline {subsection}{\numberline {6.2}Allgemeines Verkehrsmodell auf Basis eines Graphen}{15}{subsection.6.2} -\contentsline {subsubsection}{\numberline {6.2.1}Grundlagen}{16}{subsubsection.6.2.1} -\contentsline {subsubsection}{\numberline {6.2.2}Kreuzungsgraph}{16}{subsubsection.6.2.2} -\contentsline {subsubsection}{\numberline {6.2.3}Kreuzungs"ubersichtsgraph}{17}{subsubsection.6.2.3} -\contentsline {subsection}{\numberline {6.3}Matrixdarstellung des Kreuzungsmodells}{17}{subsection.6.3} -\contentsline {subsubsection}{\numberline {6.3.1}Ausgangsmatrix}{18}{subsubsection.6.3.1} -\contentsline {subsubsection}{\numberline {6.3.2}Eingangsmatrix}{19}{subsubsection.6.3.2} -\contentsline {subsection}{\numberline {6.4}Datenbankmodell}{19}{subsection.6.4} -\contentsline {subsection}{\numberline {6.5}Implementierung}{20}{subsection.6.5} -\contentsline {subsection}{\numberline {6.6}Zuk"unftige Herausforderungen des Modells}{22}{subsection.6.6} -\contentsline {subsubsection}{\numberline {6.6.1}Herausforderung: Verfolgung von Fahrzeugen "uber eine Kreuzung hinaus}{23}{subsubsection.6.6.1} -\contentsline {subsubsection}{\numberline {6.6.2}Herausforderung: Genaues Bestimmen der Abbiegewahrscheinlichkeit}{23}{subsubsection.6.6.2} -\contentsline {section}{\numberline {7}L"osungsans"atze}{24}{section.7} -\contentsline {subsection}{\numberline {7.1}Aufbereiten der Abbiegewahrscheinlichkeiten}{24}{subsection.7.1} -\contentsline {subsection}{\numberline {7.2}L"osungsansatz: Hidden Markow Modell}{25}{subsection.7.2} -\contentsline {subsubsection}{\numberline {7.2.1}Grundlagen}{25}{subsubsection.7.2.1} -\contentsline {subsubsection}{\numberline {7.2.2}HMM f"ur eine Kreuzung}{26}{subsubsection.7.2.2} -\contentsline {subsection}{\numberline {7.3}L"osungsansatz: Wegfindungsalgorithmen}{26}{subsection.7.3} -\contentsline {subsection}{\numberline {7.4}L"osungsansatz: Lineares Gleichungssystem}{26}{subsection.7.4} -\contentsline {subsubsection}{\numberline {7.4.1}Grundlagen}{27}{subsubsection.7.4.1} -\contentsline {subsubsection}{\numberline {7.4.2}Lineares Gleichungssystem einer Kreuzung}{27}{subsubsection.7.4.2} -\contentsline {subsection}{\numberline {7.5}Kreuzungsberechnung am Graphen}{29}{subsection.7.5} -\contentsline {subsubsection}{\numberline {7.5.1}Verkehrsfluss zwischen Kreuzungen}{30}{subsubsection.7.5.1} -\contentsline {subsubsection}{\numberline {7.5.2}Sonderfall: Validierungssensor}{30}{subsubsection.7.5.2} -\contentsline {section}{\numberline {8}Validierung}{32}{section.8} -\contentsline {subsection}{\numberline {8.1}Validierung durch Testdatenmenge}{32}{subsection.8.1} -\contentsline {subsection}{\numberline {8.2}Verkehrsz"ahlung}{32}{subsection.8.2} -\contentsline {subsection}{\numberline {8.3}Validierung der Berechneten Verkehrswerte}{32}{subsection.8.3} -\contentsline {subsection}{\numberline {8.4}"Uberpr"ufung des Modells}{32}{subsection.8.4} -\contentsline {section}{\numberline {9}Visualisierung}{33}{section.9} -\contentsline {subsection}{\numberline {9.1}Visualisierung des Graphen mit JMapViewer}{33}{subsection.9.1} -\contentsline {subsection}{\numberline {9.2}Visualisierung des JGraphT-Graphen}{33}{subsection.9.2} -\contentsline {section}{\numberline {10}Fazit \& Ausblick}{35}{section.10} -\contentsline {section}{\numberline {11}Bibliographie}{36}{section.10} -\contentsline {section}{\numberline {12}Abbildungsverzeichnis}{37}{section.10} -\contentsline {section}{\numberline {13}Quellcodeverzeichnis}{37}{section.10} -\contentsline {section}{\numberline {14}Anhang}{38}{section.14} -\contentsline {section}{\numberline {15}Glossar}{80}{figure.52} +\contentsline {section}{\numberline {4}Grundlagen}{7}{section.4} +\contentsline {subsection}{\numberline {4.1}Induktionsschleifen}{7}{subsection.4.1} +\contentsline {subsection}{\numberline {4.2}Adaptive Steuerung von Ampelanlagen}{8}{subsection.4.2} +\contentsline {subsection}{\numberline {4.3}Makro- und mikroskopische Modellierung von Verkehr}{8}{subsection.4.3} +\contentsline {section}{\numberline {5}Datenbasis}{10}{section.5} +\contentsline {subsection}{\numberline {5.1}Induktionsschleifenwerte}{10}{subsection.5.1} +\contentsline {subsubsection}{\numberline {5.1.1}CSV-Dateien der Induktionsschleifenwerte}{10}{subsubsection.5.1.1} +\contentsline {subsubsection}{\numberline {5.1.2}MYSQL-Daten der JEE6 Anwendung zur Bereitstellung von Verkehrsdaten}{10}{subsubsection.5.1.2} +\contentsline {subsection}{\numberline {5.2}Geographischer Ausschnitt der Daten}{12}{subsection.5.2} +\contentsline {subsection}{\numberline {5.3}CAD-Zeichnungen der Kreuzungen}{13}{subsection.5.3} +\contentsline {subsection}{\numberline {5.4}Abbiegewahrscheinlichkeiten}{13}{subsection.5.4} +\contentsline {section}{\numberline {6}Graphen-basiertes Verkehrsmodell}{14}{section.6} +\contentsline {subsection}{\numberline {6.1}H"andische Modellierung der Ministadt}{15}{subsection.6.1} +\contentsline {subsection}{\numberline {6.2}Allgemeines Verkehrsmodell auf Basis eines Graphen}{16}{subsection.6.2} +\contentsline {subsubsection}{\numberline {6.2.1}Grundlagen}{17}{subsubsection.6.2.1} +\contentsline {subsubsection}{\numberline {6.2.2}Kreuzungsgraph}{17}{subsubsection.6.2.2} +\contentsline {subsubsection}{\numberline {6.2.3}Kreuzungs"ubersichtsgraph}{18}{subsubsection.6.2.3} +\contentsline {subsection}{\numberline {6.3}Matrixdarstellung des Kreuzungsmodells}{18}{subsection.6.3} +\contentsline {subsubsection}{\numberline {6.3.1}Ausgangsmatrix}{19}{subsubsection.6.3.1} +\contentsline {subsubsection}{\numberline {6.3.2}Eingangsmatrix}{20}{subsubsection.6.3.2} +\contentsline {subsection}{\numberline {6.4}Datenbankmodell}{20}{subsection.6.4} +\contentsline {subsection}{\numberline {6.5}Implementierung}{21}{subsection.6.5} +\contentsline {subsection}{\numberline {6.6}Zuk"unftige Herausforderungen des Modells}{23}{subsection.6.6} +\contentsline {subsubsection}{\numberline {6.6.1}Herausforderung: Verfolgung von Fahrzeugen "uber eine Kreuzung hinaus}{24}{subsubsection.6.6.1} +\contentsline {subsubsection}{\numberline {6.6.2}Herausforderung: Genaues Bestimmen der Abbiegewahrscheinlichkeit}{24}{subsubsection.6.6.2} +\contentsline {section}{\numberline {7}L"osungsans"atze}{25}{section.7} +\contentsline {subsection}{\numberline {7.1}Aufbereiten der Abbiegewahrscheinlichkeiten}{25}{subsection.7.1} +\contentsline {subsection}{\numberline {7.2}L"osungsansatz: Hidden Markow Modell}{26}{subsection.7.2} +\contentsline {subsubsection}{\numberline {7.2.1}Grundlagen}{26}{subsubsection.7.2.1} +\contentsline {subsubsection}{\numberline {7.2.2}HMM f"ur eine Kreuzung}{27}{subsubsection.7.2.2} +\contentsline {subsection}{\numberline {7.3}L"osungsansatz: Wegfindungsalgorithmen}{27}{subsection.7.3} +\contentsline {subsection}{\numberline {7.4}L"osungsansatz: Lineares Gleichungssystem}{27}{subsection.7.4} +\contentsline {subsubsection}{\numberline {7.4.1}Grundlagen}{28}{subsubsection.7.4.1} +\contentsline {subsubsection}{\numberline {7.4.2}Lineares Gleichungssystem einer Kreuzung}{28}{subsubsection.7.4.2} +\contentsline {subsection}{\numberline {7.5}Kreuzungsberechnung am Graphen}{30}{subsection.7.5} +\contentsline {subsubsection}{\numberline {7.5.1}Verkehrsfluss zwischen Kreuzungen}{31}{subsubsection.7.5.1} +\contentsline {subsubsection}{\numberline {7.5.2}Sonderfall: Validierungssensor}{31}{subsubsection.7.5.2} +\contentsline {section}{\numberline {8}Validierung}{33}{section.8} +\contentsline {subsection}{\numberline {8.1}Validierung durch Testdatenmenge}{33}{subsection.8.1} +\contentsline {subsection}{\numberline {8.2}Verkehrsz"ahlung}{33}{subsection.8.2} +\contentsline {subsection}{\numberline {8.3}Validierung der Berechneten Verkehrswerte}{33}{subsection.8.3} +\contentsline {subsection}{\numberline {8.4}"Uberpr"ufung des Modells}{33}{subsection.8.4} +\contentsline {section}{\numberline {9}Visualisierung}{34}{section.9} +\contentsline {subsection}{\numberline {9.1}Visualisierung des Graphen mit JMapViewer}{34}{subsection.9.1} +\contentsline {subsection}{\numberline {9.2}Visualisierung des JGraphT-Graphen}{34}{subsection.9.2} +\contentsline {section}{\numberline {10}Fazit \& Ausblick}{36}{section.10} +\contentsline {section}{\numberline {11}Bibliographie}{37}{section.10} +\contentsline {section}{\numberline {12}Abbildungsverzeichnis}{38}{section.10} +\contentsline {section}{\numberline {13}Quellcodeverzeichnis}{38}{section.10} +\contentsline {section}{\numberline {14}Anhang}{39}{section.14} +\contentsline {section}{\numberline {15}Glossar}{81}{figure.53} diff --git a/ss2013/Bachelor Thesis/thesis_ug/ext/systembild.pdf b/ss2013/Bachelor 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b/ss2013/Bachelor Thesis/thesis_ug/tex/einleitung.tex index debe4cb3..a2712123 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/tex/einleitung.tex +++ b/ss2013/Bachelor Thesis/thesis_ug/tex/einleitung.tex @@ -4,16 +4,23 @@ Eine dieser Ma"snahmen ist der Einsatz von verkehrsaufkommensgesteuerten Ampelan Neben einer verbesserten Ampelsteuerung um den Verkehr schneller flie"sen zu lassen, haben sich einige Firmen auf die Untersuchung des Verkehrs spezialisiert und bieten Analysewerkzeuge f"ur den Verkehr an. So bieten die Programme VISSIM\footnote{Die Website der Software VISSIM lautet \url{http://www.vissim.de/}} und PELOPS\footnote{PELOPS: Programm zur Entwicklung L"angsdynamischer, mikrOskopischer VerkehrsProzesse in Systemrelevanter Umgebung} eine professionelle Modellierung von Verkehr an. Dabei kommt eine sog. mikroskopische Verkehrsmodellierung zum Einsatz. Mikroskopische Verkehrsmodelle modellieren dabei jeden einzelnen Verkehrsteilnehmer um Beziehungen unter diesen aufzeigen und berechnen zu k"onnen. So bestimmt sich die Geschwindigkeit eines Autos in einem solchen Modell in der Regel aus der des Vordermanns.\\ \\ In dieser Arbeit wird untersucht inwieweit die Sensorik einer verkehrsaufkommensgesteuerten Ampelanlage ausreicht, um zu bestimmen, in welche Richtung und wie viel des Verkehrs aus und in die Kreuzungen flie"st. Dies ist besonders interessant, da die Sensorik bereits auf der Stra"se verbaut ist und keine manuellen Datenerhebungen notwendig sind. Die Herausforderung dabei ist, dass nicht alle Stra"sen und Kreuzungen mit Induktionsschleifen ausgestattet sind, da nicht alle Kreuzungen Ampelanlagen aufweisen, welche die Sensorik erfordert. Man m"ochte allerdings Verkehrswerte f"ur diese, nicht bekannten Bereiche, berechnen oder absch"atzen k"onnen, um die momentane Verkehrssituation besser einsch"atzen und sich einen "Uberblick "uber die aktuelle Verkehrslage verschaffen zu k"onnen. Dabei erweisen sich die geringe Sensormenge und der gro"se Abstand zwischen diesen, als die gr"o"sten Herausforderungen. F"ur die Untersuchung wurde ein Ausschnitt des Stra"sennetzes der Stadt Darmstadt\footnote{Die Website der Stadt Darmstadt ist unter \url{http://www.darmstadt.de/} zu erreichen.} gew"ahlt und ein Modell f"ur Kreuzungen und ein zweites Modell f"ur zwischen den Kreuzungen erstellt. Hierf"ur wird, im Gegensatz zu industriellen Verkehrssimulationswerkzeugen ein makroskopischer Ansatz gew"ahlt um der geringen Sensordichte gerecht zu werden.\\ \\ F"ur diese Aufgabe stehen die Sensordaten von den Ampelanlagen der Stadt Darmstadt zur Verf"ugung. Die Stadt hat eine Vielzahl ihrer Kreuzungen mit sog. Induktionsschleifen, Verkehrssensoren, best"uckt. Diese liefern im Minutentakt Messwerte "uber die Anzahl der Autos, welche den Sensor passiert und solche die auf dem Sensor gestanden haben. Es wurde ein Ausschnitt von zehn Kreuzungen betrachtet, die eine hohe Sensordichte aufweisen. Die Einschr"ankung auf das verkleinerte Gebiet begr"undet sich aus der Menge der zu betrachtenden Daten. Das Betrachten eines kleineren Ausschnitts erm"oglichte es im Rahmen dieser Arbeit eine genauere Untersuchung durchzuf"uhren, als dies auf dem gesamten Stadtgebiet der Stadt Darmstadt m"oglich w"are.\\ \\ -Grundlage dieser Arbeit sind insbesondere die Arbeit \textit{Modelling Freeway Traffic with Coupled HMMs} \cite{paper:kwonmurphy}, welche eine Modellierung von Verkehr auf Schnellstra"sen vornimmt und mit Hilfe eines Hidden Markov Modells die Geschwindigkeit von Verkehrsteilnehmer vorhersagt. Die Arbeit \cite{thesis:neubert}, die mithilfe von zellular Automaten den Verkehr auf Autobahnen simuliert, sowie die Daten der Arbeit \cite{thesis:mueller}, welche die Verkehrsdaten der Stadt Darmstadt bereits aufbereitet hat. Die Arbeit \cite{thesis:lehnhoff} erwies sich als hilfreich zur Validierung. So konnten die dort befundenen Sensorungenauigkeiten best"atigt werden.\\ \\ +Die allgemeine Modellierung des Verkehrssystems wurde in Zusammenarbeit mit \textsc{M. Scholz}\cite{thesis:michael} entworfen, der dieses Modell ebenfalls für seine Bachelor Thesis verwendet. In \autoref{abb:system} ist eine Übersicht über die verschiedenen Teile der entwickelten Verkehrssimulation und den dafür implementierten Softwareteilen zu finden. Weiß hinterlegt werden die Grundlagen, auf denen das Modell fußt, dargestellt. Systemteile, welche im Rahmen der Bachelor Arbeit von \textsc{M. Scholz} entstanden sind werden blau, solche die im Rahmen dieser Arbeit implementiert wurden grün dargestellt. Das Datenbankschema und die Modellierung als Graph wurde in Zusammenarbeit entwickelt. +\begin{figure} + \centering + \includegraphics[width=0.95\textwidth]{ext/systembild} + \caption{Übersicht über das entworfene System[todo]} + \label{abb:system} +\end{figure} +[todo systemteile erklären -> leitfaden für die Einleitung] Eine Beschreibung der Grundlagen, sowie die genau Beschreibung der Daten der Stadt Darmstadt, wird im Kapitel \autoref{sec:datengrund} vorgenommen. Das entwickelte Graphen-basierte Zweistufenmodell f"ur Kreuzungen und zwischen Kreuzungen wird in Kapitel \autoref{sec:modell} vorgestellt. Es modelliert neben den Induktionsschleifen sog. 'virtuelle Sensoren', f"ur die keine Sensorwerte vorliegen. -[todo collage] +In Kapitel \autoref{sec:berechnung} wird beschrieben wie anhand dieses Modells ein Verkehrsfluss aus den Kreuzungen heraus berechnet werden kann. Daf"ur werden verschiedene Ans"atze diskutiert und eine L"osung mithilfe linearer Gleichungssysteme vorgestellt, um die Werte f"ur 'virtuelle Sensoren' zu berechnen. Durch weitere lineare Gleichungen konnten auch f"ur Fl"usse zwischen den Kreuzungen Werte berechnet werden. Grundlage dieser Berechnung sind Matrizenmultiplikationen, sie in dieser Arbeit direkt am entwickelten Graphen berechnet. Des weiteren wird untersucht inwieweit der Verkehr anhand der gegebenen Daten vorhergesagt werde kann. \begin{figure} \centering \includegraphics[width=0.95\textwidth]{ext/colage} \caption{Drei Visualisierungen des betrachteten Ausschnitts der Stadt Darmstadt. a) händische Visualisierung b) Visualisierung mithilfe der OSM-Karte c) Visualisierung des Graphenmodells} \end{figure} -Es wird daraufhin in Kapitel \autoref{sec:berechnung} beschrieben wie anhand dieses Modells ein Verkehrsfluss aus den Kreuzungen heraus berechnet werden kann. Daf"ur werden verschiedene Ans"atze diskutiert und eine L"osung mithilfe linearer Gleichungssysteme vorgestellt, um die Werte f"ur 'virtuelle Sensoren' zu berechnen. Durch weitere lineare Gleichungen konnten auch f"ur Fl"usse zwischen den Kreuzungen Werte berechnet werden. Grundlage dieser Berechnung sind Matrizenmultiplikationen, sie in dieser Arbeit direkt am entwickelten Graphen berechnet. Des weiteren wird untersucht inwieweit der Verkehr anhand der gegebenen Daten vorhergesagt werde kann. Im Kapitel \autoref{sec:visualisierung} werden zwei Visualisierungen des Modells anhand des gew"ahlten Ausschnitts des Stra"sennetz der Stadt Darmstadt erl"autert. Die Ergebnisse und das Modell werden auf ihre G"ultigkeit hin im Kapitel \autoref{sec:validierung} "uberpr"uft. Hierf"ur wurde eine Verkehrsz"ahlung vorgenommen, um die berechneten Daten "uberpr"ufen zu k"onnen. Abschlie"send werden die Ergebnisse dieser Arbeit in Kapitel \autoref{sec:ausblick} zusammengefasst und ein Ausblick gegeben, wie sich die errechneten Werte weiter verbessern lassen.\\ \\ -Todo beschreiben wer was gemacht hat + systembild +Im Kapitel \autoref{sec:visualisierung} werden zwei Visualisierungen des Modells anhand des gew"ahlten Ausschnitts des Stra"sennetz der Stadt Darmstadt erl"autert. Die Ergebnisse und das Modell werden auf ihre G"ultigkeit hin im Kapitel \autoref{sec:validierung} "uberpr"uft. Hierf"ur wurde eine Verkehrsz"ahlung vorgenommen, um die berechneten Daten "uberpr"ufen zu k"onnen. Abschlie"send werden die Ergebnisse dieser Arbeit in Kapitel \autoref{sec:ausblick} zusammengefasst und ein Ausblick gegeben, wie sich die errechneten Werte weiter verbessern lassen.\\ \\ +Grundlage dieser Arbeit sind insbesondere die Arbeit \textit{Modelling Freeway Traffic with Coupled HMMs} \cite{paper:kwonmurphy}, welche eine Modellierung von Verkehr auf Schnellstra"sen vornimmt und mit Hilfe eines Hidden Markov Modells die Geschwindigkeit von Verkehrsteilnehmer vorhersagt. Die Arbeit \cite{thesis:neubert}, die mithilfe von zellular Automaten den Verkehr auf Autobahnen simuliert, sowie die Daten der Arbeit \cite{thesis:mueller}, welche die Verkehrsdaten der Stadt Darmstadt bereits aufbereitet hat. Die Arbeit \cite{thesis:lehnhoff} erwies sich als hilfreich zur Validierung. So konnten die dort befundenen Sensorungenauigkeiten best"atigt werden.\\ \\ \cite{thesis:elfers} \cite{paper:kwonmurphy}

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