lemon-project-template-glpk

comparison deps/glpk/examples/cf12b.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(b) H P Williams "Model Building in Mathematical Programming"
4
5 Dr. H J Mackenzie
6 HARD software
7 hjm@hardsoftware.com
8
9 2006-01-23
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 var z;
40
41 # define objective function
42
43 minimize deviation: z;
44
45 # define equation constraint
46
47 s.t. equation {i in I} : b * x[i] + a + u[i] - v[i] = y[i];
48
49 # define deviation constrains
50
51 s.t. u_deviation {i in I} : z - u[i] >= 0;
52 s.t. v_deviation {i in I} : z - v[i] >= 0;
53
54 solve;
55
56 printf "y = %.4fx + %.4f Max deviation = %.4f\n", b, a, z;
57
58 /*
59 *
60 * DATA section
61 *
62 */
63
64 data;
65
66 param : I : x y :=
67 1 0 1
68 2 0.5 0.9
69 3 1 0.7
70 4 1.5 1.5
71 5 1.9 2
72 6 2.5 2.4
73 7 3 3.2
74 8 3.5 2
75 9 4 2.7
76 10 4.5 3.5
77 11 5 1
78 12 5.5 4
79 13 6 3.6
80 14 6.6 2.7
81 15 7 5.7
82 16 7.6 4.6
83 17 8.5 6
84 18 9 6.8
85 19 10 7.3
86 ;
87
88 end;