Demos

Defining the Project object

We start by defining the Project object.

using ProjectManagement

proj = Project(
    (
        start=0,
        a=PertBeta(1,2,3),
        b=PertBeta(10,20,30),
        c=PertBeta(100,200,600),
        finish=0,
    ),
    [
        :start => :a,
        :a => :b,
        :b => :c,
        :c => :finish,
    ]
)

Project{NamedTuple{(:start, :a, :b, :c, :finish), Tuple{Int64, PertBeta{Int64}, PertBeta{Int64}, PertBeta{Int64}, Int64}}}((start = 0, a = PertBeta{Int64}(a=1, b=2, c=3), b = PertBeta{Int64}(a=10, b=20, c=30), c = PertBeta{Int64}(a=100, b=200, c=600), finish = 0), [:start => :a, :a => :b, :b => :c, :c => :finish])

Visualizing the PERT Chart

visualize_chart(proj; fontsize=2.5)

Critical Path

We can compute the critical path and it's cost using the critical_path function.

critical_path(proj)

[:start, :a, :b, :c, :finish] => 272.0

We can compute all the path costs using path_durations. For example we can find the critical path and near critical paths as:

path_durations(proj)[1:min(3, end)]

1-element Vector{Pair{Vector{Symbol}, Float64}}:
 [:start, :a, :b, :c, :finish] => 272.0

Sampling Durations

Using that Project object we can sample possible durations of the project. Which allows for statistical analysis of possible outcomes.

julia> using Statistics

julia> duration_samples = rand(proj, 100_000);

julia> mean(duration_samples)
271.59251855374004

julia> minimum(duration_samples)
116.03929534859233

julia> quantile(duration_samples, 0.25)
203.15117340935035

julia> median(duration_samples)
259.99645325798554

julia> quantile(duration_samples, 0.75)
328.38162798881655

julia> maximum(duration_samples)
598.5577531944376

We can plot the distribution showing the probability density function for project completion duration.

density(proj)