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Diffstat (limited to 'glpk-5.0/examples/diet.mod')
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1 files changed, 99 insertions, 0 deletions
diff --git a/glpk-5.0/examples/diet.mod b/glpk-5.0/examples/diet.mod new file mode 100644 index 0000000..6d36391 --- /dev/null +++ b/glpk-5.0/examples/diet.mod @@ -0,0 +1,99 @@ +# STIGLER'S NUTRITION MODEL +# +# This model determines a least cost diet which meets the daily +# allowances of nutrients for a moderately active man weighing 154 lbs. +# +# References: +# Dantzig G B, "Linear Programming and Extensions." +# Princeton University Press, Princeton, New Jersey, 1963, +# Chapter 27-1. + +set N; +/* nutrients */ + +set F; +/* foods */ + +param b{N}; +/* required daily allowances of nutrients */ + +param a{F,N}; +/* nutritive value of foods (per dollar spent) */ + +var x{f in F} >= 0; +/* dollars of food f to be purchased daily */ + +s.t. nb{n in N}: sum{f in F} a[f,n] * x[f] = b[n]; +/* nutrient balance (units) */ + +minimize cost: sum{f in F} x[f]; +/* total food bill (dollars) */ + +data; + +param : N : b := + Calorie 3 /* thousands */ + Protein 70 /* grams */ + Calcium 0.8 /* grams */ + Iron 12 /* milligrams */ + Vitamin-A 5 /* thousands IUs */ + Vitamin-B1 1.8 /* milligrams */ + Vitamin-B2 2.7 /* milligrams */ + Niacin 18 /* milligrams */ + Vitamin-C 75 /* milligrams */ ; + +set F := Wheat Cornmeal Cannedmilk Margarine Cheese Peanut-B Lard + Liver Porkroast Salmon Greenbeans Cabbage Onions Potatoes + Spinach Sweet-Pot Peaches Prunes Limabeans Navybeans; + +param a default 0 + +: Calorie Protein Calcium Iron Vitamin-A Vitamin-B1 := +# (1000) (g) (g) (mg) (1000IU) (mg) + +Wheat 44.7 1411 2.0 365 . 55.4 +Cornmeal 36 897 1.7 99 30.9 17.4 +Cannedmilk 8.4 422 15.1 9 26 3 +Margarine 20.6 17 .6 6 55.8 .2 +Cheese 7.4 448 16.4 19 28.1 .8 +Peanut-B 15.7 661 1 48 . 9.6 +Lard 41.7 . . . .2 . +Liver 2.2 333 .2 139 169.2 6.4 +Porkroast 4.4 249 .3 37 . 18.2 +Salmon 5.8 705 6.8 45 3.5 1 +Greenbeans 2.4 138 3.7 80 69 4.3 +Cabbage 2.6 125 4 36 7.2 9 +Onions 5.8 166 3.8 59 16.6 4.7 +Potatoes 14.3 336 1.8 118 6.7 29.4 +Spinach 1.1 106 . 138 918.4 5.7 +Sweet-Pot 9.6 138 2.7 54 290.7 8.4 +Peaches 8.5 87 1.7 173 86.8 1.2 +Prunes 12.8 99 2.5 154 85.7 3.9 +Limabeans 17.4 1055 3.7 459 5.1 26.9 +Navybeans 26.9 1691 11.4 792 . 38.4 + +: Vitamin-B2 Niacin Vitamin-C := +# (mg) (mg) (mg) + +Wheat 33.3 441 . +Cornmeal 7.9 106 . +Cannedmilk 23.5 11 60 +Margarine . . . +Cheese 10.3 4 . +Peanut-B 8.1 471 . +Lard .5 5 . +Liver 50.8 316 525 +Porkroast 3.6 79 . +Salmon 4.9 209 . +Greenbeans 5.8 37 862 +Cabbage 4.5 26 5369 +Onions 5.9 21 1184 +Potatoes 7.1 198 2522 +Spinach 13.8 33 2755 +Sweet-Pot 5.4 83 1912 +Peaches 4.3 55 57 +Prunes 4.3 65 257 +Limabeans 38.2 93 . +Navybeans 24.6 217 . ; + +end; |