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dekker.one
1% Simple nurse rostering
2include "regular.mzn";
3enum NURSE;
4enum DAY;
5int: req_day;
6int: req_night;
7int: min_night;
8
9enum SHIFT = { d, n, o };
10int: S = card(SHIFT);
11
12int: Q = 6; int: q0 = 1; set of int: STATE = 1..Q;
13array[STATE,SHIFT] of int: t =
14 [| 2, 3, 1 % state 1
15 | 4, 4, 1 % state 2
16 | 4, 5, 1 % state 3
17 | 6, 6, 1 % state 4
18 | 6, 0, 1 % state 5
19 | 0, 0, 1|]; % state 6
20
21array[NURSE,DAY] of var SHIFT: roster;
22
23constraint forall(j in DAY)(
24 sum(i in NURSE)(roster[i,j] == d) == req_day /\
25 sum(i in NURSE)(roster[i,j] == n) == req_night
26 );
27constraint forall(i in NURSE)(
28 regular([roster[i,j] | j in DAY], Q, S, t, q0, STATE) /\
29 sum(j in DAY)(roster[i,j] == n) >= min_night
30 );
31
32solve satisfy;
33
34output [ show(roster[i,j]) ++ if j==card(DAY) then "\n" else " " endif
35 | i in NURSE, j in DAY ];