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Costa bi-dimensional efficient frontier

Source: R/plot-io-costa-frontier.R
plot_io_costa_frontier.Rd

Draws the Costa et al. (2016) two-dimensional representation of a DEA problem. Each DMU's multiplier weights are standardised and used to collapse its inputs and outputs into a single weighted input I and weighted output O; efficient units fall on the O = I diagonal (the frontier) and inefficient units below it. Uses the constant-returns-to-scale model; weights come from compute_efficiency.

Usage

plot_io_costa_frontier(
  x,
  orientation = c("in", "out"),
  point_size = 2,
  transparency = 0.7,
  fade = TRUE,
  labels = "none",
  max.overlaps.value = 10,
  subtitle = NULL,
  title = NULL,
  interactive = FALSE,
  ...
)

Arguments

x

A dea_data object, or a data frame coerced by as_dea_data.

orientation

Measurement orientation, "in" or "out".

point_size

Point size (default 2).

transparency

Point alpha in [0, 1] (default 0.7).

fade

Controls the single-DMU focus view. When one DMU is given to labels, all other marks (and, for the network plots, everything outside that DMU's sub-network; for the panel biplot, the other trajectories) are faded so the chosen DMU stands out. TRUE (default) uses a sensible fade level; FALSE disables it; a single number in [0, 1] sets the alpha of the faded marks directly, where larger values fade them less (e.g. 0.4 leaves them more visible).

labels

Which DMUs to label: "none" (default), "all" (label every DMU; ggrepel with max.overlaps = Inf), "max.overlaps" (ggrepel using max.overlaps.value), or the name/id of a single DMU to highlight just that one. Use "id" to print each DMU's row number inside its own marker.

max.overlaps.value

Passed to ggrepel when labels = "max.overlaps" (default 10); larger values keep more crowded labels.

subtitle

Optional subtitle shown beneath the title.

title

Optional plot title.

interactive

Logical; static ggplot2 (default) or interactive plotly.

...

Additional arguments passed to geom_point.

Value

A ggplot2 object, or a plotly object when interactive = TRUE.

References

Bana e Costa, C. A., Soares de Mello, J. C. C. B., & Angulo Meza, L. (2016). A new approach to the bi-dimensional representation of the DEA efficient frontier with multiple inputs and outputs. European Journal of Operational Research, 255(1), 175–186. doi:10.1016/j.ejor.2016.05.012

See also

compute_efficiency

Examples

df <- data.frame(
  dmu  = paste0("D", 1:6),
  i_x1 = c(4, 7, 8, 4, 2, 5),
  i_x2 = c(3, 3, 1, 2, 4, 2),
  o_y  = c(5, 8, 6, 7, 3, 9)
)
plot_io_costa_frontier(df, orientation = "in")