lemon-project-template-glpk

comparison deps/glpk/examples/cf12a.mod @ 9:33de93886c88

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Import GLPK 4.47
author Alpar Juttner <alpar@cs.elte.hu>
date Sun, 06 Nov 2011 20:59:10 +0100
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1 /*
2
3 Curve fitting problem 12.11(a) H P Williams "Model Building in Mathematical Programming"
4
5 Dr. H J Mackenzie
6 HARD software
7 hjm@hardsoftware.com
8
9 2006-01-05
10
11 */
12
13 # set of points
14
15 set I;
16
17 # independent variable
18
19 param x {i in I};
20
21 # dependent variable
22
23 param y {i in I};
24
25 # output input values
26
27 printf {i in I} "x = %.1f; y = %.1f\n", x[i], y[i];
28
29 # define equation variables
30
31 var a;
32
33 var b;
34
35 var u {i in I}, >= 0;
36
37 var v {i in I}, >= 0;
38
39 # define objective function
40
41 minimize error: sum {i in I} u[i] + sum {i in I} v[i];
42
43 # define equation constraint
44
45 s.t. equation {i in I} : b * x[i] + a + u[i] - v[i] = y[i];
46
47 solve;
48
49 printf "y = %.4fx + %.4f\n", b, a;
50
51 /*
52 *
53 * DATA section
54 *
55 */
56
57 data;
58
59 param : I : x y :=
60 1 0 1
61 2 0.5 0.9
62 3 1 0.7
63 4 1.5 1.5
64 5 1.9 2
65 6 2.5 2.4
66 7 3 3.2
67 8 3.5 2
68 9 4 2.7
69 10 4.5 3.5
70 11 5 1
71 12 5.5 4
72 13 6 3.6
73 14 6.6 2.7
74 15 7 5.7
75 16 7.6 4.6
76 17 8.5 6
77 18 9 6.8
78 19 10 7.3
79 ;
80
81 end;