我正在尝试将AMPL模型转换为Pyomo(我没有使用经验)。我发现语法很难适应,尤其是约束和目标部分。我已经将我的计算机与python,anaconda,Pyomo和GLPK链接在一起,只需要获取实际的代码即可。我是一个初学者,所以如果我的代码编写不当,请原谅我。仍在尝试摆脱困境!
以下是AMPL代码中的数据:
set PROD := 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;
set PROD1:= 0 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;
ProdCost 414 3 46 519 876 146 827 996 922 308 568 176 58 13 20 974 121 751 130 844 280 123 275 843 717 694 72 413 65 631
HoldingCost 606 308 757 851 148 867 336 44 364 960 69 428 778 485 285 938 980 932 199 175 625 513 536 965 366 950 632 88 698 744
Demand 105 70 135 67 102 25 147 69 23 84 32 41 81 133 180 22 174 80 24 156 28 125 23 137 180 151 39 138 196 69
这是模型:
set PROD; # set of production amounts
set PROD1; # set of holding amounts
param ProdCost {PROD} >= 0; # parameter set of production costs
param Demand {PROD} >= 0; # parameter set of demand at each time
param HoldingCost {PROD} >= 0; # parameter set of holding costs
var Inventory {PROD1} >= 0; # variable that sets inventory amount at each time
var Make {p in PROD} >= 0; # variable of amount produced at each time
minimize Total_Cost: sum {p in PROD} ((ProdCost[p] * Make[p]) + (Inventory[p] * HoldingCost[p]));
# Objective: minimize total cost from all production and holding cost
subject to InventoryConstraint {p in PROD}: Inventory[p] = Inventory[p-1] + Make[p] - Demand[p];
# excess production transfers to inventory
subject to MeetDemandConstraint {p in PROD}: Make[p] >= Demand[p] - Inventory[p-1];
# Constraint: holding and production must exceed demand
subject to InitialInventoryConstraint: Inventory[0] = 0;
# Constraint: Inventory must start at 0
这是我到目前为止所拥有的。不确定是否正确:
from pyomo.environ import *
demand=[105,70,135,67,102,25,147,69,23,84,32,41,81,133,180,22,174,80,24,156,28,125,23,137,180,151,39,138,196,69]
holdingcost=[606,308,757,851,148,867,336,44,364,960,69,428,778,485,285,938,980,932,199,175,625,513,536,965,366,950,632,88,698,744]
productioncost=[414,3,46,519,876,146,827,996,922,308,568,176,58,13,20,974,121,751,130,844,280,123,275,843,717,694,72,413,65,631]
model=ConcreteModel()
model.I=RangeSet(1,30)
model.J=RangeSet(0,30)
model.x=Var(model.I, within=NonNegativeIntegers)
model.y=Var(model.J, within=NonNegativeIntegers)
model.obj = Objective(expr = sum(model.x[i]*productioncost[i]+model.y[i]*holdingcost[i] for i in model.I))
def InventoryConstraint(model, i):
return model.y[i-1] + model.x[i] - demand[i] <= model.y[i]
InvCont = Constraint(model, rule=InventoryConstraint)
def MeetDemandConstraint(model, i):
return model.x[i] >= demand[i] - model.y[i-1]
DemCont = Constraint(model, rule=MeetDemandConstraint)
def Initial(model):
return model.y[0] == 0
model.Init = Constraint(rule=Initial)
opt = SolverFactory('glpk')
results = opt.solve(model,load_solutions=True)
model.solutions.store_to(results)
results.write()
谢谢!
答案 0 :(得分:1)
我看到的唯一问题是您的某些约束声明中。您需要将约束附加到模型,传入的第一个参数应该是索引集(我假设应该是model.I
)。
def InventoryConstraint(model, i):
return model.y[i-1] + model.x[i] - demand[i] <= model.y[i]
model.InvCont = Constraint(model.I, rule=InventoryConstraint)
def MeetDemandConstraint(model, i):
return model.x[i] >= demand[i] - model.y[i-1]
model.DemCont = Constraint(model.I, rule=MeetDemandConstraint)
用于解决模型的语法有些过时,但应该可以使用。另一个选择是:
opt = SolverFactory('glpk')
opt.solve(model,tee=True) # The 'tee' option prints the solver output to the screen
model.display() # This will print a summary of the model solution
另一个对调试有用的命令是model.pprint()
。这将显示整个模型,包括约束和目标的表达式。