EP2047447B1 - Method and device for the fusion of traffic data when information is incomplete - Google Patents

Method and device for the fusion of traffic data when information is incomplete Download PDF

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EP2047447B1
EP2047447B1 EP06846957A EP06846957A EP2047447B1 EP 2047447 B1 EP2047447 B1 EP 2047447B1 EP 06846957 A EP06846957 A EP 06846957A EP 06846957 A EP06846957 A EP 06846957A EP 2047447 B1 EP2047447 B1 EP 2047447B1
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traffic
data
disturbance
traffic situation
reported
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EP2047447A1 (en
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Ulrich Fastenrath
Markus Becker
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Deutsche Telekom AG
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    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/01Detecting movement of traffic to be counted or controlled
    • G08G1/0104Measuring and analyzing of parameters relative to traffic conditions

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  • the invention relates to a method and apparatus for merging traffic data with incomplete information, taking into account information from different sources mapped to functions to obtain a result based on calculations with these functions.
  • the object of the present invention is to overcome the aforementioned disadvantages of the prior art.
  • it is a method for local determination of traffic situation data, taking into account a plurality of traffic reports with fuzzy location information, which are to be merged as best as possible. It includes the following steps.
  • the present invention report deals with an optimal solution of the data fusion problem with incomplete information.
  • the weighting factors gx can be determined on the basis of a priori knowledge of the quality of a source. For example, disturbances reported by the police as locally blurred are generally credible and attempts should be made to confirm them; however, police reports are usually not timely deregistered. Further criteria for the gx are the (origin) position of disturbances (disturbances arise at bottlenecks, therefore they are preferably positioned as far downstream as possible) and quality requirements for the end product (eg correctness could be more important than completeness, then the confirmation gb would be strong too) weight). By statistically evaluating the distribution among the categories "affirmation,”"ignorance,” and "refutation,” the assumptions made to set the weights may be reviewed and an adjustment may be made.
  • the km i indicate the locations of the connection points.
  • L the length of the possible error.
  • fusion with the local numerical traffic data is performed as follows. Wherever the sharply localized message competes with non-knowledge from the traffic assessment, the relevant share of the message is adopted as the end product. In all other places, the numerical traffic situation data is preferred.
  • the Fig. 2 and Fig. 3 shows a traffic disruption that occurred on 10.01.2005 due to an accident on the A555 from Cologne to Bonn shortly after the junction Bornheim / Alfter (- km 16). From direct observation it was known that the traffic congestion was in the area km 13 - 17. There is no stationary measurement infrastructure in this area.

Abstract

A method for merging imprecisely localized traffic reports with precisely localized traffic data includes obtaining a plurality of possible positions (x) of the localized traffic reports having imprecise position indications. The plurality of possible positions is evaluated using overlap functions. Substantially precise positions for the localized traffic reports are defined by solving an extremum problem.

Description

Die Erfindung betrifft ein Verfahren und vorrichtung zur Fusion von Verkehrsdaten bei unvollständiger Information, bei dem Informationen aus unterschiedlichen Quellen berücksichtigt werden, die auf Funktionen abgebildet werden, um auf der Basis von Berechnungen mit diesen Funktionen ein Ergebnis zu erlangen.The invention relates to a method and apparatus for merging traffic data with incomplete information, taking into account information from different sources mapped to functions to obtain a result based on calculations with these functions.

Gebiet der Erfindung:Field of the invention:

Die Generierung von Verkehrsinformationen für Informations- oder Navigationsdienste in Echtzeit stützt sich zur Erzielung der bestmöglichen Qualität in der Regel auf mehrere Datenquellen ab. Diese Datenquellen können unterschiedlicher Natur sein, etwa menschliche Beobachtung (Polizei, Staumelder) auf der einen und automatische Messung von Verkehrsdaten (stationäre Sensoren, Floating Cars) auf der anderen Seite. Dadurch treten sowohl scheinbare als auch tatsächliche widersprüche zwischen einzelnen Quellen auf, und es können bestimmte Informationselemente nur von der einen, andere nur von der anderen Quelle geliefert werden. So ist etwa die Ursache für eine Verkehrsstörung typischerweise der menschlichen Beobachtung zugänglich, während die mittlere Geschwindigkeit typischerweise durch ein automatisches Messsystem bestimmt wird. Dies führt auf die Anforderung, Informationen aus verschiedenen Quellen einander zuzuordnen.Generation of traffic information for real-time information or navigation services relies on multiple data sources to achieve the best possible quality. These data sources can be of different nature, such as human observation (police, traffic jam) on the one hand and automatic measurement of traffic data (stationary sensors, floating cars) on the other. As a result, both apparent and actual contradictions occur between individual sources, and certain information elements can only be supplied by one source, others only by the other source. For example, the cause of a traffic disruption is typically the accessible to human observation, while the average velocity is typically determined by an automatic measuring system. This leads to the requirement to associate information from different sources.

In der DE10002918C2 wird dazu vorgeschlagen, eine Berücksichtigung von unterschiedlichen Quellen mit Hilfe des räumlichen Überlappungsgrades zu bewerkstelligen. Es bleibt jedoch die Frage offen, wie die Datenfusion einer Quelle mit hoher und einer Quelle mit geringer räumlicher Genauigkeit geschehen sollte.In the DE10002918C2 It is suggested that the consideration of different sources should be done with the help of spatial overlap. However, the question remains as to how the data fusion of a source with a high and a source with low spatial accuracy should happen.

Aus der Druckschrift US 2002/0262781 A1 ist ein Verfahren bekannt, bei dem die normalisierten Reisezeiten berücksichtigt werden. Diese offenbart die Vereinigung der NTT werte, um einen bestimmten wert bereitzustellen. Hierbei wird ein Konfidenzintervall berücksichtigt. Im Gegensatz zur vorliegenden Erfindung werden einerseits unterschiedliche Werte berücksichtigt, andererseits wird beim Stand der Technik keine Überlappungsfunktion verwendet und ferner wird keine Optimumssuche auf die Überlappungsfunktion angewendet.From the publication US 2002/0262781 A1 a method is known in which the normalized travel times are taken into account. This reveals the union of NTT values to provide a specific value. Here, a confidence interval is considered. In contrast to the present invention, on the one hand different values are taken into account, on the other hand no overlapping function is used in the prior art and furthermore no optimum search is applied to the overlapping function.

Im Folgenden wird ein entsprechendes Beispiel gezeigt. Die Polizei meldet "5 km Stau zwischen Anschlussstelle 1 und Anschlussstelle 5". Zwischen den beiden Anschlussstellen liegen 30km Autobahn und 3 weitere Anschlussstellen - die Position der Verkehrsstörung ist also nur sehr ungenau bestimmt. Gleichzeitig melden Sensoren auf dem Autobahnabschnitt 3km Stau und 20km freie Fahrt, während 7 km nicht überwacht sind. Welche Information ist an den Dienst weiterzugeben? Wo genau liegt die Verkehrsstörung und welche Streckenlänge ist betroffen?In the following, a corresponding example is shown. The police report "5 km traffic jam between junction 1 and junction 5". Between the two junctions are 30km highway and 3 other junctions - the position of the traffic jam is therefore determined only very inaccurate. At the same time sensors on the motorway section report 3km congestion and 20km free travel, while 7 km are not monitored. What information is to be passed on to the service? Where exactly is the traffic congestion and which route is affected?

Überblick über die Erfindung:Overview of the invention:

Die Aufgabe der vorliegenden Erfindung liegt darin, die vorher genannten Nachteile des standes der Technik zu überwinden.The object of the present invention is to overcome the aforementioned disadvantages of the prior art.

Gelöst wird die Aufgabe durch ein Verfahren und eine Vorrichtung mit den Merkmalen der unabhängigen Ansprüche.The object is achieved by a method and a device having the features of the independent claims.

Im Einzelnen handelt es sich um ein Verfahren zur ortsgenauen Bestimmung von Verkehrslagedaten unter Berücksichtigung von einer Mehrzahl von Verkehrsmeldungen mit unscharfen Ortsangaben, die bestmöglich zu fusionieren sind. Es umfasst die folgenden Schritte.Specifically, it is a method for local determination of traffic situation data, taking into account a plurality of traffic reports with fuzzy location information, which are to be merged as best as possible. It includes the following steps.

In Betracht ziehen aller möglichen Positionen der Verkehrsmeldungen mit unscharfen Ortsangaben- Dies kann auf der Basis von Kilometerangaben erfolgen.Taking into account all possible positions of the traffic reports with blurred Ortsangaben- This can be done on the basis of mileage.

Bewerten dieser Positionen mit Hilfe mehrerer Überlappfunktionen. Solche Funktionen werden weiter unten beschrieben. Sie können gewichtet und zu einer Bewertungsfunktion zusammengefasst werden. Auf der Basis dieser Funktionen und gewisser Randparameter werden optimale, scharfe Positionen für die Verkehrsmeldungen mit unscharfen Ortsangaben durch Lösung eines Extremwertproblems gefunden. Hierbei können die Standardverfahren eingesetzt werden, um die Extremwerte zu finden.Evaluate these positions using multiple overlap functions. Such functions will be described below. They can be weighted and summarized to a valuation function. On the basis of these functions and certain marginal parameters, optimal, sharp positions for the traffic reports with fuzzy location information are found by solving an extreme value problem. Here, the standard methods can be used to find the extreme values.

Beschreibung der Figuren:Description of the figures:

Zum besseren Verständnis der Erfindung wird im Folgenden kurz auf die Figuren eingegangen

Fig. 1
zeigt eine schematische Darstellung einer ungenauen Quelle für Verkehrsinformationen, die eine Störung der Länge L zwischen den Anschlussstellen AS1 und AS4 meldet;
Fig. 2
zeigt eine schematische Darstellung der Datenfusion, wobei oben das Ergebnis der Datenfusion angezeigt wird, in der Mitte die Meldung aus der ungenauen Quelle und die ortsgenauen numerischen Verkehrslagedaten angezeigt werden;
Fig. 3
Verkehrslagedaten und -meldungen auf der A555 von Köln nach Bonn am 10.01.2005.
For a better understanding of the invention, the figures are briefly discussed below
Fig. 1
shows a schematic representation of an inaccurate source of traffic information, which reports a disturbance of length L between the terminals AS1 and AS4;
Fig. 2
shows a schematic representation of the data fusion, with the result of the data fusion is displayed above, in the middle of the message from the inaccurate Source and the local numerical traffic situation data are displayed;
Fig. 3
Traffic situation data and messages on the A555 from Cologne to Bonn on 10.01.2005.

Beschreibung der bevorzugten Ausführungsform:Description of the preferred embodiment:

Die vorliegende Erfindungsmeldung beschäftigt sich mit einer optimalen Lösung des Datenfusionsproblems bei unvollständiger Information.The present invention report deals with an optimal solution of the data fusion problem with incomplete information.

Zur allgemeinen Lösung des Problems wird die Situation in Fig.1 betrachtet.The general solution to the problem is the situation in Fig.1 considered.

In dieser Fig. 1 meldete eine ungenaue Quelle für Verkehrsinformationen eine Störung der Länge L zwischen den Anschlussstellen AS1 und AS4.In this Fig. 1 An inaccurate traffic information source reported a length L disturbance between ports AS1 and AS4.

Man könnte in dieser Situation annehmen, dass die Verkehrsstörung die Anschlussstellen AS2 und AS3 überdeckt, da sie ja ansonsten zwischen AS1 und AS3 oder AS2 und AS4 gemeldet worden wäre. Tatsächlich ist dies aber nicht immer der Fall. In der Praxis treten auch häufig Falle auf, in denen der Abstand zwischen AS2 und AS3 größer ist als L. Wegen solcher praktischen Probleme müssen zunächst einmal alle Positionen von x=Lage(AS1) bis x+L=Lage(AS4) als gleichwertig angesehen werden.One might assume in this situation that the traffic jam covers the AS2 and AS3 junctions since otherwise it would have been reported between AS1 and AS3 or AS2 and AS4. In fact, this is not always the case. In practice, there are also frequent cases where the distance between AS2 and AS3 is greater than L. Because of such practical problems, all positions from x = location (AS1) to x + L = location (AS4) must first be considered equivalent become.

Im nächsten Schritt wird für alle diese möglichen Positionen die Verträglichkeit mit den ortsgenauen, numerischen Verkehrslagedaten geprüft - soweit diese vorliegen - wie folgt:

  1. 1. Bestätigung: Für jede mögliche Position x innerhalb des erlaubten Wertebereichs wird eine Funktion b(x) ermittelt, die den Anteil der gemeldeten Störung angibt, der durch die verkehrslagedaten bestätigt wird.
  2. 2. Lückenschluss: Für jede mögliche Position x innerhalb des erlaubten Wertebereichs wird eine Funktion n(x) ermittelt, die den Anteil der gemeldeten Störung angibt, der nicht durch vorhandene Verkehrslagedaten widerlegt werden kann (Nichtwissen wegen nicht vorhandener Detektion).
  3. 3. Widerlegung: Für jede mögliche Position x innerhalb des erlaubten Wertebereichs wird eine Funktion w(x) ermittelt, die den Anteil der gemeldeten Störung angibt, der durch vorhandene Verkehrslagedaten widerlegt werden kann.
In the next step, the compatibility with the local, numerical traffic situation data is checked for all these possible positions - as far as they are available - as follows:
  1. 1. Confirmation: A function b (x) is determined for every possible position x within the permitted value range. indicating the proportion of the reported incident confirmed by the traffic situation data.
  2. 2. Gap closure: For each possible position x within the allowed value range, a function n (x) is determined which indicates the proportion of the reported disturbance that can not be refuted by existing traffic situation data (ignorance due to non-existent detection).
  3. 3. Refutation: For each possible position x within the allowed range of values, a function w (x) is determined that indicates the proportion of the reported error that can be refuted by existing traffic situation data.

Es gilt für alle x die Beziehung: b(x)+w(x)+n(x)=1For all x we have the relationship: b ( x ) + w ( x ) + n ( x ) = 1

Im Folgenden ein Beispiel:Here is an example:

Die Funktionen b, n und w geben den räumlichen Überlappungsgrad an. Angenommen, eine schlecht lokalisierbare Meldung mit der Längenangabe "10km" wird testweise an der Position x platziert und es stellt sich heraus, dass 5 der 10km nicht überprüft werden können, weil keine gut lokalisierbaren Daten vorliegen, 4 der 10km sich in Übereinstimmung mit gut lokalisierbare Daten befinden und 1 der 10km sich im Widerspruch zu gut lokalisierbaren Daten befindet. Dann ist n(x)=0,5, b(x)=0,4 und w(x)=0,1. Die generelle Bedingung n(x)+b(x)+w(x)=1 ist damit insbesondere für dieses x erfüllt.The functions b, n and w indicate the degree of spatial overlap. Assuming that a badly locatable message with the length specification "10km" is placed on a test basis at position x and it turns out that 5 of the 10km can not be checked because there are no data that can be located well, 4 of the 10km are in agreement with well localizable data Data are located and 1 of the 10km is at odds with well localizable data. Then n (x) = 0.5, b (x) = 0.4 and w (x) = 0.1. The general condition n (x) + b (x) + w (x) = 1 is thus satisfied, in particular for this x.

Alle drei Kriterien werden gewichtet und zu dem folgenden Extremwertproblem zusammengefasst (gesucht wird die mit x bezeichnete Lösung): x 1 x 2 : f apo > f apo x f apo = f apo x > x ,

Figure imgb0001
f apo x = g b b x + g n n x + g w w x ,
Figure imgb0002
x 1 = min km 1 , km 3 - L ,
Figure imgb0003
x 2 = min km 1 + L , km 3 .
Figure imgb0004

Mit

gb
Gewicht des Kriteriums "Bestätigung"
gn
Gewicht des Kriteriums "Lückenschluss"
gw
Gewicht des Kriteriums "Widerlegung"
b(x)
Anteil der gemeldeten Störung, der bei einer angenommenen Position x durch Verkehrslagedaten bestätigt wird.
w(x)
Anteil der gemeldeten Störung, der bei einer angenommenen Position x durch Verkehrslagedaten widerlegt wird.
n(x)
Anteil der gemeldeten Störung, der bei einer angenommenen Position x durch Verkehrslagedaten weder bestätigt noch widerlegt wird (Nichtwissen).
x
Mögliche Position für das stromaufwärtige Ende der gemeldeten Störung.
All three criteria are weighted and summarized to the following extreme value problem (the solution denoted by x is searched for): x ' x 1 x 2 : f apo x ' > f apo x f apo x ' = f apo x x ' > x .
Figure imgb0001
f apo x = G b b x + G n n x + G w w x .
Figure imgb0002
x 1 = min km 1 . km 3 - L .
Figure imgb0003
x 2 = min km 1 + L . km 3 ,
Figure imgb0004

With
g b
Weight of the criterion "Confirmation"
g n
Weight of the criterion "gap closure"
g w
Weight of the criterion "refutation"
b ( x )
Proportion of the reported disturbance confirmed at an assumed position x by traffic situation data.
w ( x )
Proportion of reported disturbance that is refuted by traffic situation data at an assumed position x .
n ( x )
Proportion of the reported disturbance that is neither confirmed nor refuted by an assumed position x by traffic data (ignorance).
x
Possible position for the upstream end of the reported fault.

Dabei können die Gewichtsfaktoren gx anhand von α-prioriwissen über die Qualität einer Quelle festgelegt werden. So sind von der Polizei ortsunscharf gemeldete Störungen i.d.R. glaubwürdig und es sollte versucht werden, diese zu bestätigen; allerdings werden Polizeimeldungen in aller Regel nicht zeitnah abgemeldet. Weitere Kriterien für die gx sind die (Entstehungs-) Position von Störungen (Störungen entstehen an Engstellen, daher werden sie vorzugsweise weitestmöglich stromabwärts positioniert)und Qualitätsanforderungen an das Endprodukt (z.B. könnte Korrektheit wichtiger als Vollständigkeit sein, dann wäre die Bestätigung gb stark zu gewichten). Indem die Verteilung auf die Kategorien "Bestätigung", "Nichtwissen" und "Widerlegung" von Zeit zu Zeit statistisch ausgewertet wird, können die Annahmen, die zur Setzung der Gewichte getroffen wurden, überprüft werden und es kann u.U. eine Anpassung erfolgen.The weighting factors gx can be determined on the basis of a priori knowledge of the quality of a source. For example, disturbances reported by the police as locally blurred are generally credible and attempts should be made to confirm them; however, police reports are usually not timely deregistered. Further criteria for the gx are the (origin) position of disturbances (disturbances arise at bottlenecks, therefore they are preferably positioned as far downstream as possible) and quality requirements for the end product (eg correctness could be more important than completeness, then the confirmation gb would be strong too) weight). By statistically evaluating the distribution among the categories "affirmation,""ignorance," and "refutation," the assumptions made to set the weights may be reviewed and an adjustment may be made.

Der Extremwert für x kann entweder mit gängigen Verfahren der Optimierungsrechnung gefunden werden ("Kurvendiskussion") oder durch vollständige Berechnung der Zielfunktion fapo(x) mit einer Schrittweite von z.B. Im, was heutigen Rechnern keinerlei Schwierigkeiten mehr bereitet.The extreme value for x can either be found with common methods of optimization calculation ("curve discussion") or by complete calculation of the objective function f apo (x) with a step size of eg Im, which does not cause any difficulties for today's computers.

Die kmi geben die Lagen der Anschlussstellen an. Und L die Länge der möglichen Störung.The km i indicate the locations of the connection points. And L the length of the possible error.

Dadurch wird eine Position x der Verkehrsstörung gefunden, welche - gesteuert über die Gewichtsfaktoren - möglichst gut durch die ortsgenauen numerischen Verkehrslagedaten bestätigt wird oder, falls dies nicht in ausreichendem Maße gelingt, ihnen zumindest nicht widerspricht.As a result, a position x of the traffic disruption is found which - as controlled by the weighting factors - is confirmed as well as possible by the locally accurate numerical traffic situation data or, if this does not succeed to a sufficient extent, at least not contradict them.

Nach der Positionierung der Meldung aus der ungenauen Quelle wird die Fusion mit den ortsgenauen numerischen Verkehrslagedaten wie folgt durchgeführt. Überall dort, wo die scharf lokalisierte Meldung mit Nichtwissen aus der Verkehrslageschätzung konkurriert, wird der betreffende Anteil der Meldung als Endprodukt übernommen. An allen anderen Stellen erhalten die numerischen Verkehrslagedaten den Vorzug.After positioning the message from the inaccurate source, fusion with the local numerical traffic data is performed as follows. Wherever the sharply localized message competes with non-knowledge from the traffic assessment, the relevant share of the message is adopted as the end product. In all other places, the numerical traffic situation data is preferred.

Die Fig. 2 und Fig. 3 zeigt eine Verkehrsstörung, die sich am 10.01.2005 aufgrund eines Unfalls auf der A555 von Köln nach Bonn kurz hinter der Anschlussstelle Bornheim/Alfter (- km 16) ereignet hat. Aus direkter Beobachtung war bekannt, dass sich die Verkehrsstörung im Bereich km 13 - 17 befand. In diesem Bereich befindet sich keine stationäre Messinfrastruktur.The Fig. 2 and Fig. 3 shows a traffic disruption that occurred on 10.01.2005 due to an accident on the A555 from Cologne to Bonn shortly after the junction Bornheim / Alfter (- km 16). From direct observation it was known that the traffic congestion was in the area km 13 - 17. There is no stationary measurement infrastructure in this area.

Von der Polizei wurde im Zeitraum 8:03 bis 8:28 zwischen Köln-Godorf und Bonn-Nord erst eine drei und dann eine zwei km lange Störung gemeldet. Bei naiver, mittiger Positionierung der Meldung zwischen Köln-Godorf und Bonn-Nord (rotes Polygon) stünde diese Meldung vollständig im Widerspruch zu den numerischen Verkehrslagedaten (grüner Hintergrund) und würde durch die Datenfusion komplett verworfen werden.In the period from 8:03 to 8:28, between Cologne-Godorf and Bonn-Nord, the police reported only one three and then one two-kilometer fault. In the case of a naive, central positioning of the message between Cologne-Godorf and Bonn-Nord (red polygon), this message would completely contradict the numerical traffic situation data (green background) and would be completely rejected by the data fusion.

Bei Positionierung mit dem hier vorgeschlagenen Verfahren (dunkelblaues Polygon) wird die Meldung fast vollständig in den Bereich "Nichtwissen" lokalisiert (hellblauer Hintergrund) und folglich durch die Datenfusion nahezu vollständig übernommen (siehe Fig. 3).When positioning with the method proposed here (dark blue polygon), the message is almost completely localized in the area "Ignorance" (light blue background) and thus almost completely taken over by the data fusion (see Fig. 3 ).

Der Inhalt der vorliegenden Erfindung ist nicht auf die Beschreibung beschränkt. Vielmehr bestimmt er sich aus dem Wissen des Fachmanns auf diesem Gebiet. Ferner wird der Schutzumfang durch die Ansprüche bestimmt, wobei die Beschreibung keinerlei Einschränkungen beabsichtigt.The content of the present invention is not limited to the description. Rather, it is determined by the knowledge of the expert in this field. Furthermore, the scope of protection is determined by the claims, the description intends no limitations.

Claims (6)

  1. Method for merging imprecisely localized traffic reports with precisely localized traffic data, comprising the following steps:
    - taking into account possible positions of the traffic reports having imprecise position data;
    - evaluating these positions with the aid of the following functions:
    wherein, as part of the evaluation, there is ascertained for each possible position x within the allowed range of values a function b(x) that specifies the portion of the reported traffic disturbance that is confirmed by the traffic situation data,
    and
    there is ascertained for each possible position x within the allowed range of values a function n(x) that specifies the portion of the reported traffic disturbance that cannot be refuted by available traffic situation data,
    and
    there is ascertained for each possible position x within the allowed range of values a function w(x) that specifies the portion of the reported traffic disturbance that can be refuted by available traffic situation data, wherein the relation b x + w x + n x = 1
    Figure imgb0010
    applies for all x,
    - establishing optimal, precise positions for the traffic reports having imprecise position data by solving an extreme value problem on the basis of the functions.
  2. The method according to the preceding claim, wherein a weighting of the three criteria can be performed during the evaluation and is combined into the following extreme value problem: x 1 x 2 : f apo > f apo x f apo = f apo x > x ,
    Figure imgb0011
    f apo x = g b b x + g n n x + g w w x ,
    Figure imgb0012
    x 1 = min km 1 , km 3 - L ,
    Figure imgb0013
    x 2 = min km 1 + L , km 3 .
    Figure imgb0014
    where gb is the weight of the criterion "confirmation,"
    gn is the weight of the criterion "gap-filling,"
    gw is the weight of the criterion "refutation,"
    b(x) is the portion of the reported disturbance that is confirmed at an assumed position x by traffic situation data,
    w(x) is the portion of the reported disturbance that is refuted at an assumed position x by traffic situation data,
    n(x) is the portion of the reported disturbance that is neither confirmed nor refuted (lack of knowledge) at an assumed position x by traffic situation data,
    x is the possible position of the upstream end of the reported disturbance,
    wherein kmi specifies the location of the junctions and L specifies the length of the possible disturbance.
  3. The method according to one or more of the preceding claims, wherein the merging with the precisely localized numeric traffic situation data is carried out after the positioning of the report from an imprecise source.
  4. The method according to the preceding claim, wherein at every point where the precisely localized traffic report conflicts with lack of knowledge from the estimated traffic situation, the relevant portion of the report is used as the end product, and at all other points the numerical traffic situation data take precedence.
  5. Apparatus for precisely localized determination of traffic situation data taking into account a plurality of traffic reports having imprecise position data, characterized by a device that is designed for the execution of a method according to one or more of the preceding method claims.
  6. Data media product characterized by a data structure that is designed such that it brings about the execution of a method according to one or more of the preceding method claims after being loaded onto a computer.
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DE102006033744A DE102006033744A1 (en) 2006-07-21 2006-07-21 Method and device for merging traffic data with incomplete information
PCT/DE2006/002327 WO2008011850A1 (en) 2006-07-21 2006-12-28 Method and device for the fusion of traffic data when information is incomplete

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JP2009545021A (en) 2009-12-17
DE102006033744A1 (en) 2008-01-24
US20090287403A1 (en) 2009-11-19
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ATE507546T1 (en) 2011-05-15

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