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MTH 208 (10)
Herman (10)
Lecture 20

MTH 208 Lecture 20: 12.5


Department
Mathematics
Course Code
MTH 208
Professor
Herman
Lecture
20

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Oneidea Reduce your problem by means of cutting planes
EI 13 1.1 see attachedexample sheet
13.2 Branch and Bond
Idea To solve 2LOPsplit feasible set into 2pieces Cbranch
show Ihop optimum on one piece is smaller
than on other piece Cbond
EI Max 210 82
St11 172E38
711 92E35
where XXzCIN Eo 1,2 3
Usingsimplex on the relaxation of PCwhere X1220 and xxzElR
givesoptimum X1Ch96 2.38
sine Ij IN this is not aKop optimal
We branch on Xsire XL96 CN
2problems waddedconstraints Xj 71.96 on problem PA
and E1.96 or PB
or equivalently sire XjEIN
PA Max 7682PB
s't 1117238 i
Tx 19 235
172 XEl
Xii XzCIN
Feasible Regime 42
ii
Iogolf
FIzzX
c
PB
Solvethe relaxations of PA PB using simplex
PI AIff EE251 38.3
PB Q344734.9
Simeboth have Ij IN we will branch on both of those
For PA branch on Rz az28 PA
3XXz
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