This

**preview**shows page 1. to view the full**4 pages of the document.** 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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