際際滷

際際滷Share a Scribd company logo
Integer Programming IP
悋惶忰忰悸 悋悖惺惆悋惆 惡惘悴悸
悋惆愕悸 悸-惶惘悋惠悸
悋惘愕2017
悒惺惆悋惆:惆.惡悋惆 悖忰惆 悒惡惘悋email: ibrahim.badi@hotmail.com
IP
IP
悋 愕悋悧
DemandSupply
悋悸 愀惘悸
悋悖
2 3 5 6
2 1 3 5
3 8 4 6
5
10
15
12 8 4 6
悋 惠悸
悋悋忰惠悋悴悋惠
悋惠惘惆
2 3 5 6
2 1 3 5
8
3 8 4 6
5
2
15
12 X 4 6
悋悸 愀惘悸
悋悖
2 3 5 6
2 1 3 5
2 8
3 8 4 6
5
X
15
10 X 4 6
悋悸 愀惘悸
悋悖
2 3 5 6
5
2 1 3 5
2 8
3 8 4 6
X
X
15
5 X 4 6
悋悸 愀惘悸
悋悖
2 3 5 6
5
2 1 3 5
2 8
3 8 4 6
5
X
X
10
X X 4 6
悋悸 愀惘悸
悋悖
2 3 5 6
5
2 1 3 5
2 8
3 8 4 6
5 4
X
X
6
X X X 6
悋悸 愀惘悸
悋悖
2 3 5 6
5
2 1 3 5
2 8
3 8 4 6
5 4 6
X
X
X
X X X X
悋悸 愀惘悸
悋悖
Total Cost= 5*2+2*2+8*1+5*3+4*4+6*6= 89
悋悸 愀惘悸
悋悖
悸 惠悸 悖 悋愀惘悸 悵 惠惷 
愕悖悸 悋惘悋惷 悋悵悴 惶悋愃悸  
2 3 5 6
2 1 3 5
3 8 4 6
5
10
15
12 8 4 6
悋悵悴
悋惘悋惷
),...,2,1;,...,2,1(0
),...,2,1(
),...,2,1(..
min
1
1
1 1
njmiX
njdX
misXts
Xc
ij
mi
i
jij
nj
j
iij
mi
i
nj
j
ijij
緒緒
緒
緒


ワ








Xij = number of units shipped from supply point i to
demand point j; Cij: unit transportation cost; Si: Supply
from source i; dj: demand
惠愕惘
),...,2,1;,...,2,1(0
),...,2,1(
),...,2,1(..
min
1
1
1 1
njmiX
njdX
misXts
Xc
ij
mi
i
jij
nj
j
iij
mi
i
nj
j
ijij
緒緒
緒
緒


ワ








Xij = number of units shipped from supply point i to
demand point j; Cij: unit transportation cost; Si: Supply
from source i; dj: demand
惓悋盒潮
悋 愕悋悧Dema
nd
Supply
dj悋忰 惺惆 悋愀惡 悸 j.
si悋惠慍惺 惘慍 惺惆 悋悽慍 悸 i.
cij悋惘慍  悋 惠悸 i悋忰 悒j.
xij悋惘慍  悋悸 悋悸 i悋忰 悒j.
悋惠慍惺 惘慍i.
悋忰j.
悋 愕悋悧愕 惠惠悴悋慍 悋 悋忰悋惠 悴惺 悋惘慍 悵悋  悋悸 悋悋惠惺惠.
惺 悵悋:
悋 愕悋悧惠 悖 悴惡 悋惘悋慍 悴惺  悋忰 悵悋 悒 悋悸 悋悋惠惡
愀惡 悒悴悋.
惺 悵悋:
悋 愕悋悧DemandSupply
惘悋慍 悴惺  悋悸 悋 惠悸 惠  悋惆
悋忰悋惠 悴惺 悒 悋惠慍惺

More Related Content

Integer programming