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{lstlisting}{\numberline {8}abc}{21} +\contentsline {lstlisting}{\numberline {1}abc}{15}{lstlisting.1} +\contentsline {lstlisting}{\numberline {2}abc}{15}{lstlisting.2} +\contentsline {lstlisting}{\numberline {3}abc}{16}{lstlisting.3} +\contentsline {lstlisting}{\numberline {4}abc}{19}{lstlisting.4} +\contentsline {lstlisting}{\numberline {5}abc}{19}{lstlisting.5} +\contentsline {lstlisting}{\numberline {6}abc}{20}{lstlisting.6} +\contentsline {lstlisting}{\numberline {7}abc}{20}{lstlisting.7} +\contentsline {lstlisting}{\numberline {8}abc}{21}{lstlisting.8} diff --git a/ss2013/Bachelor Thesis/thesis_ug/TUDthesis.out b/ss2013/Bachelor Thesis/thesis_ug/TUDthesis.out new file mode 100644 index 00000000..8ae3e97a --- /dev/null +++ b/ss2013/Bachelor Thesis/thesis_ug/TUDthesis.out @@ -0,0 +1,52 @@ +\BOOKMARK [1][-]{section.1}{\334bersicht}{}% 1 +\BOOKMARK [1][-]{section.2}{Einleitung}{}% 2 +\BOOKMARK [1][-]{section.3}{Related Work}{}% 3 +\BOOKMARK [1][-]{section.4}{Datenbasis und Grundlagen}{}% 4 +\BOOKMARK [2][-]{subsection.4.1}{Induktionsschleifen}{section.4}% 5 +\BOOKMARK [2][-]{subsection.4.2}{Induktionsschleifenwerte}{section.4}% 6 +\BOOKMARK [3][-]{subsubsection.4.2.1}{CSV-Daten der Stadt Darmstadt}{subsection.4.2}% 7 +\BOOKMARK [3][-]{subsubsection.4.2.2}{MYSQL-Daten des Projektes Verkehrsvisualisierung}{subsection.4.2}% 8 +\BOOKMARK [2][-]{subsection.4.3}{Geographischer Ausschnitt der Daten}{section.4}% 9 +\BOOKMARK [2][-]{subsection.4.4}{CAD-Zeichnungen der Kreuzungen}{section.4}% 10 +\BOOKMARK [2][-]{subsection.4.5}{Abbiegewahrscheinlichkeiten}{section.4}% 11 +\BOOKMARK [3][-]{subsubsection.4.5.1}{Abbiegewahrscheinlichkeiten der Stadt Darmstadt}{subsection.4.5}% 12 +\BOOKMARK [3][-]{subsubsection.4.5.2}{Abbiegewahrscheinlichkeiten von Michael Scholz}{subsection.4.5}% 13 +\BOOKMARK [2][-]{subsection.4.6}{Aufbereiten der Abbiegewahscheinlichkeiten}{section.4}% 14 +\BOOKMARK [1][-]{section.5}{Modell}{}% 15 +\BOOKMARK [2][-]{subsection.5.1}{Modell der Ministadt}{section.5}% 16 +\BOOKMARK [2][-]{subsection.5.2}{Modell als Graph}{section.5}% 17 +\BOOKMARK [3][-]{subsubsection.5.2.1}{Kreuzungsgraph}{subsection.5.2}% 18 +\BOOKMARK [3][-]{subsubsection.5.2.2}{Kreuzungs\374bersicht}{subsection.5.2}% 19 +\BOOKMARK [2][-]{subsection.5.3}{Modell als Matrix}{section.5}% 20 +\BOOKMARK [3][-]{subsubsection.5.3.1}{Ausgangsmatrix}{subsection.5.3}% 21 +\BOOKMARK [3][-]{subsubsection.5.3.2}{Eingangsmatrix}{subsection.5.3}% 22 +\BOOKMARK [3][-]{subsubsection.5.3.3}{Sonderfall: Vallidierungssensor}{subsection.5.3}% 23 +\BOOKMARK [2][-]{subsection.5.4}{Datenbankmodell}{section.5}% 24 +\BOOKMARK [3][-]{subsubsection.5.4.1}{Datenbank Schema}{subsection.5.4}% 25 +\BOOKMARK [1][-]{section.6}{Problemstellungen und Zielsetzungen}{}% 26 +\BOOKMARK [2][-]{subsection.6.1}{Das Zeitproblem}{section.6}% 27 +\BOOKMARK [2][-]{subsection.6.2}{Das Abbiegeproblem}{section.6}% 28 +\BOOKMARK [2][-]{subsection.6.3}{Zielsetzung}{section.6}% 29 +\BOOKMARK [1][-]{section.7}{L\366sungsans\344tze}{}% 30 +\BOOKMARK [2][-]{subsection.7.1}{L\366sungsans\344tze}{section.7}% 31 +\BOOKMARK [3][-]{subsubsection.7.1.1}{Hidden Markow Modell}{subsection.7.1}% 32 +\BOOKMARK [3][-]{subsubsection.7.1.2}{Wegfindungsalgorithmen}{subsection.7.1}% 33 +\BOOKMARK [3][-]{subsubsection.7.1.3}{Neuronale Netze}{subsection.7.1}% 34 +\BOOKMARK [3][-]{subsubsection.7.1.4}{Lineares Gleichungssystem}{subsection.7.1}% 35 +\BOOKMARK [2][-]{subsection.7.2}{Lineares Gleichungssystem}{section.7}% 36 +\BOOKMARK [3][-]{subsubsection.7.2.1}{Grundlagen}{subsection.7.2}% 37 +\BOOKMARK [3][-]{subsubsection.7.2.2}{Lineares Gleichungssystem einer Kreuzung}{subsection.7.2}% 38 +\BOOKMARK [2][-]{subsection.7.3}{Lineares Gleichungssystem am Graph}{section.7}% 39 +\BOOKMARK [3][-]{subsubsection.7.3.1}{Verkehrsfluss zwischen Kreuzungen}{subsection.7.3}% 40 +\BOOKMARK [3][-]{subsubsection.7.3.2}{Berechnungsmatrizen}{subsection.7.3}% 41 +\BOOKMARK [1][-]{section.8}{Visualisierung}{}% 42 +\BOOKMARK [2][-]{subsection.8.1}{Visualisierung des Graphen mit Geoinformationen}{section.8}% 43 +\BOOKMARK [2][-]{subsection.8.2}{Visualisierung des JGraphT-Graphen}{section.8}% 44 +\BOOKMARK [1][-]{section.9}{Validierung}{}% 45 +\BOOKMARK [2][-]{subsection.9.1}{Testdatenmenge}{section.9}% 46 +\BOOKMARK [2][-]{subsection.9.2}{Verkehrsz\344hlung}{section.9}% 47 +\BOOKMARK [2][-]{subsection.9.3}{Validierung der Verkehrsaufkommensvorhersage}{section.9}% 48 +\BOOKMARK [1][-]{section.10}{Ausblick}{}% 49 +\BOOKMARK [1][-]{section.10}{Abbildungsverzeichnis}{}% 50 +\BOOKMARK [1][-]{section.10}{Quellcodeverzeichnis}{}% 51 +\BOOKMARK [1][-]{section.13}{Anhang}{}% 52 diff --git a/ss2013/Bachelor Thesis/thesis_ug/TUDthesis.pdf b/ss2013/Bachelor Thesis/thesis_ug/TUDthesis.pdf index e373cbb438165ce63acb4f9f8aebbba193756b06..3ec93a8fff1e5d679a0fee9155bb9a4544734a96 100644 GIT binary patch delta 245280 zcmb?jcOcdM_qWNG5fYb(%)8v{A|g9vi^$%4ulU#$sjO>8kPkUdHnS&@~|kc7%g 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Thesis/thesis_ug/TUDthesis.toc index f782fb19..5490cb0a 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/TUDthesis.toc +++ b/ss2013/Bachelor Thesis/thesis_ug/TUDthesis.toc @@ -1,55 +1,52 @@ -\contentsline {section}{\numberline {1}\active@dq \dq@prtct {U}bersicht}{1} -\contentsline {section}{\numberline {2}Einleitung}{4} -\contentsline {section}{\numberline {3}Related Work}{6} -\contentsline {section}{\numberline {4}Datenbasis und Grundlagen}{7} -\contentsline {subsection}{\numberline {4.1}Induktionsschleifen}{7} -\contentsline {subsection}{\numberline {4.2}Induktionsschleifenwerte}{8} -\contentsline {subsubsection}{\numberline {4.2.1}CSV-Daten der Stadt Darmstadt}{8} -\contentsline {subsubsection}{\numberline {4.2.2}MYSQL-Daten des Projektes Verkehrsvisualisierung}{9} -\contentsline {subsection}{\numberline {4.3}Geographischer Ausschnitt der Daten}{9} -\contentsline {subsection}{\numberline {4.4}CAD-Zeichnungen der Kreuzungen}{9} -\contentsline {subsection}{\numberline {4.5}Abbiegewahrscheinlichkeiten}{10} -\contentsline {subsubsection}{\numberline {4.5.1}Abbiegewahrscheinlichkeiten der Stadt Darmstadt}{10} -\contentsline {subsubsection}{\numberline {4.5.2}Abbiegewahrscheinlichkeiten von Michael Scholz}{11} -\contentsline {subsection}{\numberline {4.6}Aufbereiten der Abbiegewahscheinlichkeiten}{11} -\contentsline {section}{\numberline {5}Modell}{12} -\contentsline {subsection}{\numberline {5.1}Modell der Ministadt}{12} -\contentsline {subsection}{\numberline {5.2}Modell als Graph}{14} -\contentsline {subsubsection}{\numberline {5.2.1}Kreuzungsgraph}{15} -\contentsline {subsubsection}{\numberline {5.2.2}Kreuzungs\active@dq \dq@prtct {u}bersicht}{16} -\contentsline {subsection}{\numberline {5.3}Modell als Matrix}{16} -\contentsline {subsubsection}{\numberline {5.3.1}Ausgangsmatrix}{17} -\contentsline {subsubsection}{\numberline {5.3.2}Eingangsmatrix}{17} -\contentsline {subsubsection}{\numberline {5.3.3}Sonderfall: Vallidierungssensor}{18} -\contentsline {subsection}{\numberline {5.4}Datenbankmodell}{18} -\contentsline {subsubsection}{\numberline {5.4.1}Datenbank Schema}{19} -\contentsline {section}{\numberline {6}Problemstellungen und Zielsetzungen}{22} -\contentsline {subsection}{\numberline {6.1}Das Zeitproblem}{22} -\contentsline {subsection}{\numberline {6.2}Das Abbiegeproblem}{22} -\contentsline {subsection}{\numberline {6.3}Ziel: Werte für virtuelle Sensoren}{22} -\contentsline {subsection}{\numberline {6.4}Ziel: Flüssen zwischen den Kreuzungen}{22} -\contentsline {subsection}{\numberline {6.5}Ziel: Werte für Kreuzungen ohne Sensoren}{23} -\contentsline {subsection}{\numberline {6.6}Ziel: Blick in die Zukunft}{23} -\contentsline {section}{\numberline {7}L\active@dq \dq@prtct {o}sungsans\active@dq \dq@prtct {a}tze}{24} -\contentsline {subsection}{\numberline {7.1}Ans\"atze}{24} -\contentsline {subsubsection}{\numberline {7.1.1}Markov-Ketten HMM}{24} -\contentsline {subsubsection}{\numberline {7.1.2}Neuronale Netze}{24} -\contentsline {subsubsection}{\numberline {7.1.3}Gleichungssystem}{24} -\contentsline {subsubsection}{\numberline {7.1.4}Wegfindungsalgorithmen}{24} -\contentsline {subsection}{\numberline {7.2}Lineares Gleichungssystem}{24} -\contentsline {subsection}{\numberline {7.3}Grundlagen}{24} -\contentsline {subsubsection}{\numberline {7.3.1}Lineares Gleichungssystem einer Kreuzung}{24} -\contentsline {subsubsection}{\numberline {7.3.2}Gleichungen zwischen Kreuzungen}{24} -\contentsline {subsection}{\numberline {7.4}Lineares Gleichungssystem als Graph}{25} -\contentsline {subsubsection}{\numberline {7.4.1}Berechnungsmatrizen}{25} -\contentsline {section}{\numberline {8}Visualisierung}{26} -\contentsline {subsection}{\numberline {8.1}Visualisierung des Graphen mit Geoinformationen}{26} -\contentsline {subsection}{\numberline {8.2}Visualisierung des JGraphT-Graphen}{26} -\contentsline {section}{\numberline {9}Validierung}{27} -\contentsline {subsection}{\numberline {9.1}Testdatenmenge}{27} -\contentsline {subsection}{\numberline {9.2}Verkehrsz\active@dq \dq@prtct {a}hlung}{27} -\contentsline {subsection}{\numberline {9.3}Validierung der Verkehrsaufkommensvorhersage}{27} -\contentsline {section}{\numberline {10}Ausblick}{28} -\contentsline {section}{\numberline {11}Abbildungsverzeichnis}{30} -\contentsline {section}{\numberline {12}Quellcodeverzeichnis}{30} -\contentsline {section}{\numberline {13}Anhang}{31} +\contentsline {section}{\numberline {1}\active@dq \dq@prtct {U}bersicht}{1}{section.1} +\contentsline {section}{\numberline {2}Einleitung}{4}{section.2} +\contentsline {section}{\numberline {3}Related Work}{6}{section.3} +\contentsline {section}{\numberline {4}Datenbasis und Grundlagen}{7}{section.4} +\contentsline {subsection}{\numberline {4.1}Induktionsschleifen}{7}{subsection.4.1} +\contentsline {subsection}{\numberline {4.2}Induktionsschleifenwerte}{8}{subsection.4.2} +\contentsline {subsubsection}{\numberline {4.2.1}CSV-Daten der Stadt Darmstadt}{8}{subsubsection.4.2.1} +\contentsline {subsubsection}{\numberline {4.2.2}MYSQL-Daten des Projektes Verkehrsvisualisierung}{9}{subsubsection.4.2.2} +\contentsline {subsection}{\numberline {4.3}Geographischer Ausschnitt der Daten}{9}{subsection.4.3} +\contentsline {subsection}{\numberline {4.4}CAD-Zeichnungen der Kreuzungen}{9}{subsection.4.4} +\contentsline {subsection}{\numberline {4.5}Abbiegewahrscheinlichkeiten}{10}{subsection.4.5} +\contentsline {subsubsection}{\numberline {4.5.1}Abbiegewahrscheinlichkeiten der Stadt Darmstadt}{10}{subsubsection.4.5.1} +\contentsline {subsubsection}{\numberline {4.5.2}Abbiegewahrscheinlichkeiten von Michael Scholz}{11}{subsubsection.4.5.2} +\contentsline {subsection}{\numberline {4.6}Aufbereiten der Abbiegewahscheinlichkeiten}{11}{subsection.4.6} +\contentsline {section}{\numberline {5}Modell}{12}{section.5} +\contentsline {subsection}{\numberline {5.1}Modell der Ministadt}{12}{subsection.5.1} +\contentsline {subsection}{\numberline {5.2}Modell als Graph}{14}{subsection.5.2} +\contentsline {subsubsection}{\numberline {5.2.1}Kreuzungsgraph}{15}{subsubsection.5.2.1} +\contentsline {subsubsection}{\numberline {5.2.2}Kreuzungs\active@dq \dq@prtct {u}bersicht}{16}{subsubsection.5.2.2} +\contentsline {subsection}{\numberline {5.3}Modell als Matrix}{16}{subsection.5.3} +\contentsline {subsubsection}{\numberline {5.3.1}Ausgangsmatrix}{17}{subsubsection.5.3.1} +\contentsline {subsubsection}{\numberline {5.3.2}Eingangsmatrix}{17}{subsubsection.5.3.2} +\contentsline {subsubsection}{\numberline {5.3.3}Sonderfall: Vallidierungssensor}{18}{subsubsection.5.3.3} +\contentsline {subsection}{\numberline {5.4}Datenbankmodell}{18}{subsection.5.4} +\contentsline {subsubsection}{\numberline {5.4.1}Datenbank Schema}{19}{subsubsection.5.4.1} +\contentsline {section}{\numberline {6}Problemstellungen und Zielsetzungen}{22}{section.6} +\contentsline {subsection}{\numberline {6.1}Das Zeitproblem}{22}{subsection.6.1} +\contentsline {subsection}{\numberline {6.2}Das Abbiegeproblem}{22}{subsection.6.2} +\contentsline {subsection}{\numberline {6.3}Zielsetzung}{22}{subsection.6.3} +\contentsline {section}{\numberline {7}L\active@dq \dq@prtct {o}sungsans\active@dq \dq@prtct {a}tze}{24}{section.7} +\contentsline {subsection}{\numberline {7.1}L\active@dq \dq@prtct {o}sungsans\"atze}{24}{subsection.7.1} +\contentsline {subsubsection}{\numberline {7.1.1}Hidden Markow Modell}{24}{subsubsection.7.1.1} +\contentsline {subsubsection}{\numberline {7.1.2}Wegfindungsalgorithmen}{24}{subsubsection.7.1.2} +\contentsline {subsubsection}{\numberline {7.1.3}Neuronale Netze}{24}{subsubsection.7.1.3} +\contentsline {subsubsection}{\numberline {7.1.4}Lineares Gleichungssystem}{24}{subsubsection.7.1.4} +\contentsline {subsection}{\numberline {7.2}Lineares Gleichungssystem}{24}{subsection.7.2} +\contentsline {subsubsection}{\numberline {7.2.1}Grundlagen}{24}{subsubsection.7.2.1} +\contentsline {subsubsection}{\numberline {7.2.2}Lineares Gleichungssystem einer Kreuzung}{25}{subsubsection.7.2.2} +\contentsline {subsection}{\numberline {7.3}Lineares Gleichungssystem am Graph}{25}{subsection.7.3} +\contentsline {subsubsection}{\numberline {7.3.1}Verkehrsfluss zwischen Kreuzungen}{25}{subsubsection.7.3.1} +\contentsline {subsubsection}{\numberline {7.3.2}Berechnungsmatrizen}{25}{subsubsection.7.3.2} +\contentsline {section}{\numberline {8}Visualisierung}{27}{section.8} +\contentsline {subsection}{\numberline {8.1}Visualisierung des Graphen mit Geoinformationen}{27}{subsection.8.1} +\contentsline {subsection}{\numberline {8.2}Visualisierung des JGraphT-Graphen}{27}{subsection.8.2} +\contentsline {section}{\numberline {9}Validierung}{28}{section.9} +\contentsline {subsection}{\numberline {9.1}Testdatenmenge}{28}{subsection.9.1} +\contentsline {subsection}{\numberline {9.2}Verkehrsz\active@dq \dq@prtct {a}hlung}{28}{subsection.9.2} +\contentsline {subsection}{\numberline {9.3}Validierung der 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Nicola Lehnhoff}}, + title = {{Überprüfung und Verbesserung der Qualität von automatisch erhobenen Daten an Lichtanlagen}}, + school = {Universität Hannover, Bauingeneurswesen und Geodäsie}, + year = {2005}, +} + %http://www.infas.de/forschungsbereiche/verkehrsforschung/mid/ %http://www.presseportal.de/pm/53326/550241/shell-pkw-studie-zahl-der-autos-steigt-kohlendioxid-emission-sinkt-im-jahr-2030-bis-zu-53-5 %http://commons.wikimedia.org/wiki/File:Induktionsschleife.jpg diff --git a/ss2013/Bachelor Thesis/thesis_ug/bib/texput.log b/ss2013/Bachelor Thesis/thesis_ug/bib/texput.log index 5ddbed25..274a5df4 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/bib/texput.log +++ b/ss2013/Bachelor Thesis/thesis_ug/bib/texput.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.1415926-1.40.11 (MiKTeX 2.9) (preloaded format=pdflatex 2013.8.10) 11 AUG 2013 19:18 +This is pdfTeX, Version 3.1415926-1.40.11 (MiKTeX 2.9) (preloaded format=pdflatex 2013.8.10) 12 AUG 2013 13:15 entering extended mode **literature.tex diff --git a/ss2013/Bachelor Thesis/thesis_ug/tex/anhang.tex b/ss2013/Bachelor Thesis/thesis_ug/tex/anhang.tex index aae0ab5c..27f532dc 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/tex/anhang.tex +++ b/ss2013/Bachelor Thesis/thesis_ug/tex/anhang.tex @@ -1,6 +1,6 @@ \begin{figure} \centering - \fbox{\includegraphics[width=0.95\textwidth-2\fboxsep-2\fboxrule]{ext/overviewmap}} + \fbox{\includegraphics[width=0.55\textwidth-2\fboxsep-2\fboxrule]{ext/overviewmap}} \caption{CAD Bild der Stadt Darmstadt, mit eingezeichneten Kreuzungen} \end{figure} diff --git a/ss2013/Bachelor Thesis/thesis_ug/tex/ausblick.tex b/ss2013/Bachelor Thesis/thesis_ug/tex/ausblick.tex index cbcd559c..0b801e06 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/tex/ausblick.tex +++ b/ss2013/Bachelor Thesis/thesis_ug/tex/ausblick.tex @@ -1,3 +1,4 @@ +\label{sec:ausblick} W"ahrend die Ergebnisse dieser Arbeit einer Validierung nicht stand halten, so bietet das entwickelte Modell die M"oglichkeit den Verkehr genauer zu berechnen, wenn bessere Sensorwerte vorliegen. So kann aufgrund der Modellierung der 'Ministadt' eine Modellierung f"ur ganz Darmstadt durchgef"uhrt werden. Das entwickelte Modell kann auch auf jede andere Stadt "ubertragen werden. Eine Verbesserung des Modells kann durch 'tagging' vorgenommen werden. So k"onnte man die Stra"sen mit ihrer H"ochstgeschwindigkeit taggen, um die Genauigkeit des Modells zu erh"ohen. diff --git a/ss2013/Bachelor Thesis/thesis_ug/tex/berechnung.tex b/ss2013/Bachelor Thesis/thesis_ug/tex/berechnung.tex index aa9a4c51..2d900ecf 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/tex/berechnung.tex +++ b/ss2013/Bachelor Thesis/thesis_ug/tex/berechnung.tex @@ -1,4 +1,5 @@ -In diesem Kapitel werden einige Lösungsansätze für, im vorigem Kapitel beschriebene Problemstellungen und Zielsetzung. +\label{sec:berechnung} +In diesem Kapitel werden einige Lösungsansätze für, im vorigem Kapitel \autoref{sec:propziel} beschriebene Problemstellungen und Zielsetzung. \subsection{L"osungsans\"atze}{ Das Ziel für 'virtuelle Sensoren' Werte zu berechnen war das erste Ziel, welche zu erreichen galt. Da virtuelle Sensoren in dem entwickelten Verkehrsmodell ausschließlich Aus- und Eingänge modellieren. Einen Verkehrswert für die jeweiligen Kreuzungsein- und -ausgänge berechnen zu können würde dem Ziel Flüsse zwischen Kreuzungen berechnen zu können einen Schritt näher rücken.\\ \\ @@ -41,9 +42,9 @@ In diesem Kapitel werden einige Lösungsansätze für, im vorigem Kapitel beschr \end{equation} Ein lineares Gleichungssystem ist lösbar, wenn alle Gleichungen erfüllbar sind. Ist dies nicht der Fall spricht man von einem unlösbaren Gleichungssystem.\\ - Lösbare Systeme lassen sich nochmals in die 'eindeutig Lösbaren' und 'nicht eindeutig Lösbaren' unterteilen. Für ein eindeutig lösbares Gleichungssystem kann eine numerische Lösung für x_1 bis x_n gefunden werden, im Gegensatz zu nicht eindeutig Lösbaren System, welche eine Lösung nur in Abhängigkeit von einem oder mehreren Parametern angeben.\\ \\ + Lösbare Systeme lassen sich nochmals in die 'eindeutig Lösbaren' und 'nicht eindeutig Lösbaren' unterteilen. Für ein eindeutig lösbares Gleichungssystem kann eine numerische Lösung für $x_1$ bis $x_n$ gefunden werden, im Gegensatz zu nicht eindeutig Lösbaren System, welche eine Lösung nur in Abhängigkeit von einem oder mehreren Parametern angeben.\\ \\ - Eine gängige Art der Darstellung von linearen Gleichungssystemen ist die Matrixdarstellung. Das System zerfällt dabei in drei Teile. Die Koeffizientenmatrix enthält dabei die Werte a_{11} bis a_{nm}. Die unbekannten werden in einer einspaltigen Matrize zusammengefasst, ebenso wie die Ergebniswerte b_1 bis b_m. + Eine gängige Art der Darstellung von linearen Gleichungssystemen ist die Matrixdarstellung. Das System zerfällt dabei in drei Teile. Die Koeffizientenmatrix enthält dabei die Werte $a_{11}$ bis $a_{nm}$. Die unbekannten werden in einer einspaltigen Matrize zusammengefasst, ebenso wie die Ergebniswerte $b_1$ bis $b_m$. [matrix] Eine Matrixmultiplikation versetzt das System wieder in seine Ursprungsform. diff --git a/ss2013/Bachelor Thesis/thesis_ug/tex/datengrund.tex b/ss2013/Bachelor Thesis/thesis_ug/tex/datengrund.tex index b87fdfa8..1661ced8 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/tex/datengrund.tex +++ b/ss2013/Bachelor Thesis/thesis_ug/tex/datengrund.tex @@ -1,6 +1,7 @@ -In diesem Kapitel wird beschrieben welchen Verkehrsdaten für diese Arbeit zur Verfügung standen und wie sie aufbereitet wurden, um sie für die im Kapitel [Modell] entwickelte Verkehrsmodellierung zu verwenden.\\ +\label{sec:datengrund} +In diesem Kapitel wird beschrieben welchen Verkehrsdaten für diese Arbeit zur Verfügung standen und wie sie aufbereitet wurden, um sie für die im Kapitel \autoref{sec:modell} entwickelte Verkehrsmodellierung zu verwenden.\\ Zum einen sind das die Induktionsschleifenwerte 'load' und 'count' aller Induktionsschleifen auf den Stra"sen der Stadt Darmstadt, welche auf den Straßen erfasst werden.\\ -Desweiteren stehen gemittelte Abbiegewahrscheinlichkeiten für einige der Induktionsschleifen zur Verfügung, welche für die Berechnung von Verkehrsflüssen benötigt werden. Näheres ist im Kapitel [Berechnung] zu finden.\\ \\ +Desweiteren stehen gemittelte Abbiegewahrscheinlichkeiten für einige der Induktionsschleifen zur Verfügung, welche für die Berechnung von Verkehrsflüssen benötigt werden. Näheres ist im Kapitel \autoref{sec:berechnung} zu finden.\\ \\ Es folgt eine kurze Abhandlung über Induktionsschleifen und deren Funktionsweise, woraufhin die für dieser Arbeit zur Verfügung stehenden Daten erläutert werden.\\ @@ -49,13 +50,17 @@ Es folgt eine kurze Abhandlung über Induktionsschleifen und deren Funktionsweis Die Gültigkeit der Induktionsschleifenwerte wird in dem Kapitel [Validierung] genauer behandelt. Die Verwendung der Abbiegewahrscheinlichkeiten ist im Kapitel [Berechnung] beschrieben.\\ } +\subsection{Verkehsdefinitionen}{ +} + \subsection{Induktionsschleifenwerte}{ - Die Induktionsschleifen der Stadt Darmstadt sind fast ausschlie"slich an den Kreuzungseing"angen in den Stra"sen verbaut. Sie dienen dabei dem 'adaptivem steuern' des Verkehrs. Die Werte werden über ein fest definiertes Intervall von einer Minute erhoben. Für jede Induktionsschleife werden die Werte 'load' und 'count' übermittelt. \\ \\ + Die Induktionsschleifen der Stadt Darmstadt sind fast ausschlie"slich an den Kreuzungseing"angen in den Stra"sen verbaut. Sie dienen dabei dem 'adaptivem steuern' des Verkehrs. Die Werte werden über ein fest definiertes Intervall von einer Minute erhoben. Für jede Induktionsschleife werden die Werte 'load' und 'count' übermittelt. + [Anhang] \\ \\ Der 'load'-Wert gibt dabei an, wie viel Prozent des Messintervalls der Sensor als belegt erkannt wurde. Es handelt sich folglich um einen Float-Wert zwischen 0 und 1.\\ - Der 'count'-Wert repräsentiert dabei die Anzahl der Autos, welche den Sensor innerhalb des Messintervalls passiert haben. Es handelt sich folglich um eine ganze natürlich Zahl, einschließlich der Null.\\ \\ + Der 'count'-Wert repräsentiert die Anzahl der Autos, welche den Sensor innerhalb des Messintervalls passiert haben. Es handelt sich folglich um eine ganze natürlich Zahl, einschließlich der Null.\\ \\ W"urde ein Sensor einen 'load' von 0.3 und einen 'count' von 5 melden, bedeutet das, dass dieser Sensor 30 Prozent einer Minute (18 Sekunden) belegt war und 5 Autos ihn passiert haben. diff --git a/ss2013/Bachelor Thesis/thesis_ug/tex/einleitung.tex b/ss2013/Bachelor Thesis/thesis_ug/tex/einleitung.tex index 86043cef..541ab630 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/tex/einleitung.tex +++ b/ss2013/Bachelor Thesis/thesis_ug/tex/einleitung.tex @@ -1,4 +1,5 @@ -Die gr"o"serwerdene Anzahl der Verkehrsteilnehmer und die damit verbundenen Massen an Autos auf den Stra"sen wird zunehmend zu einem Problem[ZTAT] f"ur Stra"sen, Mensch und Umwelt. Aus diesem Grund ist die Analyse und Optimierung des Verkehrs ein wichtiger Bestandteil der Arbeit der Verkehrs"amter, damit der Verkehr weiterhin reibungslos funktioniert. Neben den zuständigen verkehrsämter, haben sich einige Firmen auf dieses Thema spezialisiert und bieten Analysetools f"ur den Verkehr an. Moderne Ampelanlagen und Sensorik, welche in den Stra"sen verbaut ist, erlaubt es heute eine solche Analyse durchzuf"uhren und den Verkehr zu untersuchen.\\ +\label{sec:einleitung} +Die gr"o"serwerdene Anzahl der Verkehrsteilnehmer und die damit verbundenen Massen an Autos auf den Stra"sen wird zunehmend zu einem Problem[ZTAT] f"ur Stra"sen, Mensch und Umwelt. Aus diesem Grund ist die Analyse und Optimierung des Verkehrs ein wichtiger Bestandteil der Arbeit der Verkehrs"amter, damit der Verkehr weiterhin reibungslos funktioniert. Neben den zuständigen Verkehrsämter, haben sich einige Firmen auf dieses Thema spezialisiert und bieten Analysetools f"ur den Verkehr an. Moderne Ampelanlagen und Sensorik, welche in den Stra"sen verbaut ist, erlaubt es heute eine solche Analyse auch ohne groß angelegte Datenerhebungen durchzuf"uhren und den Verkehr zu untersuchen.\\ Die Stadt Darmstadt hat in vielen ihrer Kreuzungen sog. Induktionsschleifen integriert, welche bereits qualifizierte Messwerte der Sensoren ausliefern, nicht nur die "Anderung der Resonanzfrequenz, welche die Basis der Berechnung für diese Werte ist. Siehe hierzu den Abschnitt [Induktionsschleifen]. Sie messen, wie viele Autos "uber den Sensorbereich gefahren sind, und wie lange der Sensor durch ein darauf stehendes Auto belegt war. Diese Daten werden direkt von den Ampeln benutzt, um ihre Apelphasen zu steuern, da diese 'adaptiv' gesteuert sind. Das bedeutet, dass die Reihenfolge der Ampelphasen vorgegeben ist, allerdings die L"ange dieser sich aus den Sensorwerten ergibt. Dies f"uhrt zu einem fl"ussigerem Verkehr, da die Ampeln nur so lange gr"un sind, wie ben"otigt wird um alle wartenden Autos "uber die Kreuzung zu bef"ordern. Diese Sensorwerte werden in dieser Arbeit nicht zur Ampelsteuerung, allerdings f"ur die Vorhersage von Verkehr benutzt. Dafür wird ein Modell eines Teilausschnitts von Darmstadt erstellt und der Verkehr mithilfe der Induktionsschleifenwerte berechnet. Das entwickelte Modell ist dabei ein Graph.\\ Die Problematik die sich dabei auftut ist, dass nicht alle Stra"sen und Kreuzungen der Stadt Darmstadt mit Induktionsschleifen ausgestattet sind. Man m"ochte allerdings gerne Verkehrswerte f"ur diese, nicht bekannten Bereiche, berechnen oder absch"atzen, um die momentane Verkehrssituation besser einsch"atzen zu können und sich einen Überblick über die aktuelle Verkehrslage zu verschaffen.\\ diff --git a/ss2013/Bachelor Thesis/thesis_ug/tex/modell.tex b/ss2013/Bachelor Thesis/thesis_ug/tex/modell.tex index d8fc8efb..c63aa52d 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/tex/modell.tex +++ b/ss2013/Bachelor Thesis/thesis_ug/tex/modell.tex @@ -1,3 +1,4 @@ +\label{sec:modell} In diesem Kapitel werden zwei Modellierungen der 'Ministadt' vorgestellt und erkl"art. Die beiden diskutierten Modelle sind die Darstellung als Matrix und die als Graph. Diese beiden Darstellungen sind untereinander kompatibel, k"onnen deshalb ineinander "uberf"uhrt werden. Dabei ist der Graph ein n"utzliches Werkzeug der Visualisierung w"ahrend die Matrixdarstellung der Berechnung dient.\\ In der Industrie eingesetzte Software zur Berechnung und Modellierung von Verkehrsfl"ussen, verwenden meistens ein sog. Micro Modell(VISUM). Ein solches Micro Modell modelliert jedes einzelne Auto, um eine hohe Genauigkeit der Berechnung zu gew"ahrleisten. Allerdings erfordert das neben sehr vielen Messwerten auch einen erheblichen Mehraufwand zur Modellierung.\\ \\ diff --git a/ss2013/Bachelor Thesis/thesis_ug/tex/propziel.tex b/ss2013/Bachelor Thesis/thesis_ug/tex/propziel.tex index 3023d62c..6aa3bcd9 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/tex/propziel.tex +++ b/ss2013/Bachelor Thesis/thesis_ug/tex/propziel.tex @@ -1,3 +1,4 @@ +\label{sec:propziel} In diesem Kapitel wird darauf eingegangen, welche Probleme sich aufgetan haben, nach einer gründlichen Untersuchung der Daten und einer Modellierung der Kreuzungen. \subsection{Das Zeitproblem}{ diff --git a/ss2013/Bachelor Thesis/thesis_ug/tex/relatedwork.tex b/ss2013/Bachelor Thesis/thesis_ug/tex/relatedwork.tex index db969075..83c2b8c4 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/tex/relatedwork.tex +++ b/ss2013/Bachelor Thesis/thesis_ug/tex/relatedwork.tex @@ -1,3 +1,4 @@ +\label{sec:relatedwork} Diese Arbeit besch"aftigt sich prim"ar mit der analyse eines Sensornetzwerkes, den Stra"sensensoren. Sie ist daher dem Forschungsgebiet des [XXX] zuzuordnen. Allerdings besch"aftigt sie sich ebenfalls mit Verkehrstechniken und Graphenalgorithmen. Im folgenden werden einige ausgew"ahlt Publikationen diff --git a/ss2013/Bachelor Thesis/thesis_ug/tex/uebersicht.tex b/ss2013/Bachelor Thesis/thesis_ug/tex/uebersicht.tex index 701ea62f..fc2495db 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/tex/uebersicht.tex +++ b/ss2013/Bachelor Thesis/thesis_ug/tex/uebersicht.tex @@ -1,3 +1,5 @@ +\label{sec:uebersicht} + In Ballungsgebieten, vornehmlich St"adten, steigt die Anzahl der Verkehrsteilnehmer. Insbesondere die Anzahl der Autos ist in den letzten Jahren drastisch gestiegen. Diese zunehmende Belastung wirkt sich auf Stra"sen, auf den Verkehr und durch Verschmutzung und L"armbelastung auch auf den Menschen aus. Um diesen negativen Effekten und der gestiegenen Anzahl an Autos Herr zu werden, ist eine Untersuchung des Verkehrs und dessen Optimierung unabdingbar um die Stra"sen f"ur jederman nutzbar zu halten.\\ diff --git a/ss2013/Bachelor Thesis/thesis_ug/tex/validierung.tex b/ss2013/Bachelor Thesis/thesis_ug/tex/validierung.tex index 8070141a..c5eee579 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/tex/validierung.tex +++ b/ss2013/Bachelor Thesis/thesis_ug/tex/validierung.tex @@ -1,3 +1,4 @@ +\label{sec:validierung} In diesem Kapitel wird die Validierung der berechneten Verkehrswerte beschrieben. Dabei wird zun"achst ein angestrebtes Verfahren beschrieben und darauf eingegangen warum dieses Verfahren sich nicht eignet. Um die berechneten Werte dennoch validieren zu k"onnen, wurde eine Verkehrsz"ahlung im Rahmen dieser Arbeit vorgenommen. \subsection{Testdatenmenge}{ diff --git a/ss2013/Bachelor Thesis/thesis_ug/tex/visualisierung.tex b/ss2013/Bachelor Thesis/thesis_ug/tex/visualisierung.tex index 40e9198d..9c6bcc24 100644 --- a/ss2013/Bachelor Thesis/thesis_ug/tex/visualisierung.tex +++ b/ss2013/Bachelor Thesis/thesis_ug/tex/visualisierung.tex @@ -1,3 +1,4 @@ +\label{sec:visualisierung} Um die Daten zu verstehen m"ussen Sie visualisiert werden. Aus diesem Grund wurden manuelle Zeichnungen angefertigt um den Sachverhalt zu verstehen. Um die Berechnung zu verstehen bietet es sich an diese Visualisierung auch am Computer vorzunehmen um die berechneten Werte besser zu verstehen, denn oft kann man mithilfe einer Visualisierung Zusammenh"ange oder Fehler leichter erkennen. \subsection{Visualisierung des Graphen mit Geoinformationen}{

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