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MiniZinc

% Número de trabajos.
int: jobs;
set of int: JOB = 1..jobs;
% Número de tareas por trabajo.
int: tasks;
set of int: TASK = 1..tasks;
% Duración de tareas.
array [JOB,TASK] of int: d;
% Duración total.
int: total = sum(i in JOB, j in TASK)(d[i,j]);
% Dígitos para salida.
int: digs = ceil(log(10.0,total));
% Horas de inicio.
array [JOB,TASK] of var 0..total: s;
% Tiempo de finalización total.
var 0..total: end;
% Sin sobresalto
predicate no_overlap(var int:s1, int:d1, var int:s2, int:d2) =
s1 + d1 <= s2 \/ s2 + d2 <= s1;
% Asegurar de que las tareas se realicen en secuencia.
constraint
forall(i in JOB) (
forall(j in 1..tasks-1)
(s[i,j] + d[i,j] <= s[i,j+1]) /\
s[i,tasks] + d[i,tasks] <= end
);
% Garantizar que no se superponen las tareas.
constraint
forall(j in TASK) (
forall(i,k in JOB where i < k) (
no_overlap(s[i,j], d[i,j], s[k,j], d[k,j])
)
);
solve minimize end;
output ["Fin = \(end)\n"] ++
[ show_int(digs,s[i,j]) ++ " " ++
if j == tasks then "\n" else "" endif |
i in JOB, j in TASK ];