# How can I generate a Venn diagram in R? | R FAQ

This article needs additional citations for verification. In the study of traffic flow theory, the flow-density diagram is used to determine the traffic state of a roadway. Next, we can use the vennCounts command to impose the structure needed to generate the Venn diagram.

## Flow rate diagram for 4050-00 / 4069-01 / 4073-00 / 4077 / 4078-00 / 4079-01

Note that you need to install the latest version of R for this package to work properly! The code below has been tested with R 3. The output from these calls indicates the installation of the limma package. Finally, we need to load this package. We can now use the commands in this package for generating Venn diagrams. The data needed for a Venn diagram consists of a set of binary variables indicating membership.

Next, we can use the vennCounts command to impose the structure needed to generate the Venn diagram. While some of the options for the vennDiagram command are specific to tests run on microarray data, we can change some of the formatting.

Below, we add names to the groups, we change the relative size of the labels and counts, and we opt for the counts to appear in red. We could opt to present just two groups in this way, but it is not possible to add a fourth. Note that the size of the areas of overlap do not coincide with the relative counts.

It can be used to predict the capability of a road system, or its behaviour when applying inflow regulation or speed limits. The primary tool for graphically displaying information in the study traffic flow is the fundamental diagram. Fundamental diagrams consist of three different graphs: The graphs are two dimensional graphs.

The fundamental diagrams were derived by the plotting of field data points and giving these data points a best fit curve. With the fundamental diagrams researchers can explore the relationship between speed, flow, and density of traffic.

The speed-density relationship is linear with a negative slope; therefore, as the density increases the speed of the roadway decreases. The line crosses the speed axis, y, at the free flow speed, and the line crosses the density axis, x, at the jam density. Here the speed approaches free flow speed as the density approaches zero. As the density increases, the speed of the vehicles on the roadway decreases. The speed reaches approximately zero when the density equals the jam density. In the study of traffic flow theory, the flow-density diagram is used to determine the traffic state of a roadway.

Currently, there are two types of flow density graphs. The first is the parabolic shaped flow-density curve, and the second is the triangular shaped flow-density curve. Academia views the triangular shaped flow-density curve as more the accurate representation of real world events. The triangular shaped curve consists of two vectors.

The first vector is the freeflow side of the curve. This vector is created by placing the freeflow velocity vector of a roadway at the origin of the flow-density graph. The second vector is the congested branch, which is created by placing the vector of the shock wave speed at zero flow and jam density. The congested branch has a negative slope, which implies that the higher the density on the congested branch the lower the flow; therefore, even though there are more cars on the road, the number of cars passing a single point is less than if there were fewer cars on the road.

The intersection of freeflow and congested vectors is the apex of the curve and is considered the capacity of the roadway, which is the traffic condition at which the maximum number of vehicles can pass by a point in a given time period. The flow and capacity at which this point occurs is the optimum flow and optimum density, respectively. The flow density diagram is used to give the traffic condition of a roadway.

With the traffic conditions, time-space diagrams can be created to give travel time, delay, and queue lengths of a road segment. Speed — flow diagrams are used to determine the speed at which the optimum flow occurs. There are currently two shapes of the speed-flow curve.

The speed-flow curve also consists of two branches, the free flow and congested branches. The diagram is not a function, allowing the flow variable to exist at two different speeds. The flow variable existing at two different speeds occurs when the speed is higher and the density is lower or when the speed is lower and the density is higher, which allows for the same flow rate.

In the first speed-flow diagram, the free flow branch is a horizontal line, which shows that the roadway is at free flow speed until the optimum flow is reached.