-
Notifications
You must be signed in to change notification settings - Fork 76
/
furniture_moving.pi
136 lines (90 loc) · 3.08 KB
/
furniture_moving.pi
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
/*
Furniture moving (scheduling) in Picat.
From Marriott & Stukey: "Programming with constraints", page 112f
One result:
Sp Sc Sb St
[0, 0, 30, 45]
Where the values are the start time for each task:
Starts with piano time 0 : 3 persons (30 min)
chair time 0 : 1 person (10 min)
bed time 30 : 3 persons (15 min)
table time 45 : 2 persons (15 min)
0 10 15 30 45 60
piano --------------|bed---|
piano --------------| table----|
piano --------------|bed---|
chair --| bed---|table----|
There are many other solutions...
Model created by Hakan Kjellerstrand, hakank@gmail.com
See also my Picat page: http://www.hakank.org/picat/
*/
import cp.
main => go.
go =>
L = findall([Sp, Sc, Sb, St], move([Sp, Sc, Sb, St])),
NumSolutions = length(L),
writef("start_times: %w\n", L),
writef("number_of_solutions: %d\n", NumSolutions).
go2 =>
L = findall([Sp, Sc, Sb, St], move2([Sp, Sc, Sb, St])),
NumSolutions = length(L),
writef("start_times: %w\n", L),
writef("number_of_solutions: %d\n", NumSolutions).
% Minimize end time
go3 =>
move3.
move([Sp, Sc, Sb, St]) =>
NumPersons :: 0..3,
Sp :: 0..30, % piano: 60 - 30
Sc :: 0..50, % chair: 60 - 10
Sb :: 0..45, % bed : 60 - 15
St :: 0..45, % table: 60 - 15
Duration = [30,10,15,15],
MenNeeded = [3,1,3,2],
cumulative([Sp, Sc, Sb, St], Duration, MenNeeded, NumPersons),
% to get the end time of the tasks
SpEnd #= Sp + 30,
ScEnd #= Sc + 10,
SbEnd #= Sb + 15,
StEnd #= St + 15,
Vars = [Sp,Sc,Sb,St] ++ NumPersons,
% get all solutions
% NumPersons = 3,
solve(Vars),
writeln([piano=(Sp,SpEnd), chair=(Sc,ScEnd),
bed=(Sb,SbEnd), table=(St,StEnd),
num=NumPersons]).
move2(X) =>
N = 4,
X = new_list(N),
X :: 0..60,
NumPersons :: 0..3,
Duration = [30,10,15,15],
MenNeeded = [3,1,3,2],
cumulative(X, Duration, MenNeeded, NumPersons),
% to get the end time of the tasks
End = new_list(N),
End :: 0..60,
foreach(I in 1..N) End[I] #= X[I]+Duration[I] end,
Vars = X ++ End ++ [NumPersons],
solve([ff,updown],Vars),
writeln([X, persons=NumPersons]).
%
% Minimize the end time (min span)
%
move3 =>
N = 4,
X = new_list(N),
X :: 0..60,
NumPersons :: 0..3,
Duration = [30,10,15,15],
MenNeeded = [3,1,3,2],
cumulative(X, Duration, MenNeeded, NumPersons),
% to get the end time of the tasks
End = new_list(N),
End :: 0..60,
foreach(I in 1..N) End[I] #= X[I]+Duration[I] end,
Vars = X ++ End ++ [NumPersons],
EndTime #= max(End),
solve([$min(EndTime),ff,down],Vars),
writeln([X, persons=NumPersons,endTime=EndTime]).