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m
bAm
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§1 2
Xmaj(j=1,…,m) xj>0jBB={j1…jm} (2)
Vi=aji (i=1,2,…,m) (3)
V1V2…VmM

Operations Research
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x3=1x1=2x2=0
Ab{uij}me1(1,0,0,…)e2(0,1,0, …) …em(0,0,…,1)
ej = (j=1,2,…,m) (10)
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∴U=M1{uij}
 
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[1-19] 1-18
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1-3
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Vr= (19)

t’ij
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aj = t’rjas+ (21)
( )
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i≠r t’ij=tij(tis/trs)trj (25)
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e1=an+1e2=an+2…em=an+m (26)

(24)(25)n+jj
i≠ru’ij=uij(tis/trs)urj (29)
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()
rr
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zscs >0,
·zscs >0tis>0s
zscs >0,zscs


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*asas=(vr)’,
[TU]=M1[AbI]

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ajzjcj =0
aj
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t11
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[1-21]1(46)
[]
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1
(47)
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z’3c’3=9a3
s=3a1a2
t’13=3,2
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r
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§5 6
zjcj≤0z0=01x2=0, x3=7/6, x1=3/21
[1-22] 462
[]1-21
2
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§5 8
·1C’T=0 0 0 1 1CT=[7 1 1]a3a1∴ =(1 7)
z2c2= ·1+ ·71=3
z0= ·1+ ·7=35/3
y1= ·1+ (-1) ·7=
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