Schedule with a limited resource. Tasks is a list of tasks, each of
the form task(S_i, D_i, E_i, C_i, T_i). S_i denotes the start time,
D_i the positive duration, E_i the end time, C_i the non-negative
resource consumption, and T_i the task identifier. Each of these
arguments must be a finite domain variable with bounded domain, or
an integer. The constraint holds iff at each time slot during the
start and end of each task, the total resource consumption of all
tasks running at that time does not exceed the global resource
limit. Options is a list of options. Currently, the only supported
option is:
- limit(L)
- The integer L is the global resource limit. Default is 1.
For example, given the following predicate that relates three tasks
of durations 2 and 3 to a list containing their starting times:
tasks_starts(Tasks, [S1,S2,S3]) :-
Tasks = [task(S1,3,_,1,_),
task(S2,2,_,1,_),
task(S3,2,_,1,_)].
We can use cumulative/2 as follows, and obtain a schedule:
?- tasks_starts(Tasks, Starts), Starts ins 0..10,
cumulative(Tasks, [limit(2)]), label(Starts).
Tasks = [task(0, 3, 3, 1, _G36), task(0, 2, 2, 1, _G45), ...],
Starts = [0, 0, 2] .
