reconstructing units
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Rezept.mod
18
Rezept.mod
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@ -1,11 +1,11 @@
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set ZUTATEN;
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set STOFFE;
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set INDEX; #Indexmenge
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param preis {z in ZUTATEN} >= 0;
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param werte {z in ZUTATEN, s in STOFFE} >= 0;
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param minwert {s in STOFFE} >= 0 default 0;
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param maxwert {s in STOFFE} >= 0 default Infinity;
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var menge {z in ZUTATEN} >= 0;
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param preis {z in ZUTATEN} >= 0; #in €/kg oder €/10Stück
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param werte {z in ZUTATEN, s in STOFFE} >= 0; #je 100g oder Stück
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param minwert {s in STOFFE} >= 0 default 0; #ebenso
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param maxwert {s in STOFFE} >= 0 default Infinity; #ebenso
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var menge {z in ZUTATEN} >= 0; # in g oder Stück
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param ref {z in ZUTATEN} >= 0 default 0;
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param bezugsmenge {z in ZUTATEN} default 100; #nicht immer ist menge in 100g, teilweise in Stück
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@ -13,15 +13,15 @@ param weight_penalty >= 0 <= 1 default 0.05; #Transportkosten je 100g
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param pill_penalty {z in ZUTATEN, i in INDEX} default 0; #für einzelne Zutaten können Strafkosten bei Überschreiten einer Höchstmenge verhängt werden
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#Die Höchstmenge wird in pill_penalty[z,1], die Strafkosten für jede darüberliegende Einheit in pill_penalty[z,2] gespeichert.
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var kaufpreis = sum {z in ZUTATEN} preis[z]/10*menge[z]; #Alnatura-Preise sind in 1kg statt 100g…
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var kaufpreis = sum {z in ZUTATEN} preis[z]/(10*bezugsmenge[z])*menge[z]; #Alnatura-Preise sind in €/1kg statt 100g…
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var omega_ratio = sum{z in ZUTATEN} menge[z]*werte[z,"Omega-6"]/sum{y in ZUTATEN} menge[y]*werte[z,"Omega-3"];
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var rezeptwert {s in STOFFE} = sum {z in ZUTATEN} menge[z]*werte[z,s];
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var total_weight = sum {z in ZUTATEN} menge[z]*bezugsmenge[z];
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var rezeptwert {s in STOFFE} = sum {z in ZUTATEN} menge[z]*werte[z,s]/bezugsmenge[z];
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var total_weight = sum {z in ZUTATEN} menge[z];
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var total_pill_penalty = sum {z in ZUTATEN} max(menge[z]-pill_penalty[z,1],0)*pill_penalty[z,2];
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#Wenn die zutatenweise Obergrenze in pill_penalty[z,1] überschritten ist, werden Strafkosten für die Überschussmenge berechnet.
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minimize gesamtpreis: kaufpreis*(1-weight_penalty) + total_weight/100*weight_penalty + total_pill_penalty;
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subject to ugrenze {s in STOFFE}: rezeptwert[s] >= minwert[s]; #undefined renders 0 => no problem here
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subject to ogrenze {s in STOFFE}: rezeptwert[s] <= maxwert[s]; #undefined should render Infinity here.
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subject to omega_ratio_constraint: omega_ratio <= 6;
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#subject to omega_ratio_constraint: omega_ratio <= 6;
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@ -1,4 +1,4 @@
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param weight_penalty 0.5455; #Transportkosten je 100g
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param weight_penalty 0; #Transportkosten je 100g
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#should be below 1. If equal 1, prices will not be taken into account.
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#Um einzelne Zutaten nach Stück statt 100g zu berechnen:
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@ -7,11 +7,13 @@ Omega-3 1.67
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Omega-6 17
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Fiber 28
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Cholesterol 0
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#VitaminA 3000
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#VitaminA 3000 #orig min
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VitaminA 2132 #orig Recipe
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VitaminB6 1.3
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VitaminB12 2.4 #nnot hold
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VitaminC 90 #cannot hold
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#VitaminD 600 #cannot hold
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VitaminD 300 #orig Recipe
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VitaminE 20.00
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VitaminK 120
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Thiamin 1.2
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@ -20,7 +22,9 @@ Niacin 16
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Folate 400
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PantothenicAcid 5
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#Choline 550 #not in swiss data
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Calcium 1
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Choline 255 #orig Recipe
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#Calcium 1
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Calcium 0.61 #orig Recipe
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Chloride 2.3
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Chromium 35 #not in swiss data
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Copper 0.90 #not in swiss data
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@ -31,6 +35,7 @@ Manganese 2.3 #not in swiss data
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Molybdenum 45 #not in swiss data
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Phosphorus 0.7
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#Potassium 3.5
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Potassium 3.4 #orig Recipe
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Selenium 55 #cannot hold
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Sodium 1.5
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Sulfur 2 #not in swiss data
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@ -3,4 +3,4 @@ model Rezept.mod;
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data Rezept.dat;
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option solver "ampl.linux64/minos";
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solve;
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display {i in ZUTATEN} menge[i]*bezugsmenge[i], ref, total_weight, kaufpreis ;
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display {i in ZUTATEN} menge[i], ref, total_weight, kaufpreis ;
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@ -1,7 +1,8 @@
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#alle Preise in €/(bezugsmenge*10)
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feingemahleneHaferflockenOR 00.78
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SojaflockenOR 04.3
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JodsalzOR 00.22
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MultivitamineOR 24.1258741258741
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MultivitamineOR 0.241258741258741
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SonnenblumenölOR 03.38
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PuderzuckerOR 00.65
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ErbsenproteinOR 09.676
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@ -5,7 +5,7 @@ MultivitamineOR
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SonnenblumenölOR
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PuderzuckerOR
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ErbsenproteinOR
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##WeizenmehlOR
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WeizenmehlOR
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##OlivenölOR
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##MaltodextrinOR
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##Sojaflocken
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