python - 我的 PuLP (使用线性编程的批量大小)代码中不断出现错误，出了什么问题？

Question

我需要用线性规划分析很多大小问题，但我的 PuLP 代码不能正常工作。

from pulp import *

prob = LpProblem("Lot_Sizing_Problem", LpMinimize)

period = []
for i in range(H):
    period.append(i)

order = LpVariable.dicts('order', period, lowBound = 0, upBound = 1, cat='integer'),
orderamount = LpVariable.dicts('orderamount', period, lowBound = 0, cat='integer'),
inventory = LpVariable.dicts('orderamount', period, lowBound = 0, cat='integer'),

prob += lpSum([A*period[i]+h*(inventory[i]+orderamount[i]-D[i]) for i in period])

prob += (inventory[i+1] for i in period) == inventory[i]+orderamount[i]-D[i]
prob += (orderamount[i] for i in period) <= M*order[i]
prob += (orderamount[i] for i in period) == D[i] - inventory[i]

prob.solve()

我不断收到此错误:
类型错误:+ 不支持的操作数类型:“dict”和“dict”

这些是一些要输入的示例值，结果应该是 102.0:
这些是值的含义:(时间范围:H，持有成本:h，固定设置
成本:A，产能:C，需求 list :D，大M:M)

H=10
h=0.5
A=10
C=18
D=[12,10,13,14,13,15,17,20,19,14]
M=C

谢谢!

Answer 1

有不少错误。

from pulp import *

prob = LpProblem("Lot_Sizing_Problem", LpMinimize)

H=10
h=0.5
A=10
C=18
D=[12,10,13,14,13,15,17,20,19,14]
M=100

period = list(range(H))

order = LpVariable.dicts('order', period, lowBound = 0, upBound = 1, cat='integer')
orderamount = LpVariable.dicts('orderamount', period, lowBound = 0, cat='integer')
inventory = LpVariable.dicts('inventory', period, lowBound = 0, cat='integer')

prob += lpSum([A*period[i]+h*(inventory[i]+orderamount[i]-D[i]) for i in period])

for i in period:
  if i<H-1:
    prob += inventory[i+1]  == inventory[i]+orderamount[i]-D[i]
  prob += orderamount[i]  <= M*order[i]
  prob += orderamount[i]  == D[i] - inventory[i]

prob.solve()

请注意，使用 dicts 进行整数索引不是一种正常的方法。所以，我可能会写:

order = [LpVariable(...) for i in period]

等等