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X - UWSpace - University of Waterloo

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using just "PD time" since WSET could be implemented with a more advanced coding scheme<br />

or different suategies such as storing data in each local database. AI1 the following reports are<br />

based on the prima1 simplex method and the banier method with prima1 crossover. however other<br />

methods such as the dual simplex method or dual crossover cm be used to solve the subproblems.<br />

The simplex methoâ was faster than the barrier method in al1 test problems except FP in which<br />

the barrïer method was much faster.<br />

Table 5.5 Performance <strong>of</strong> Paralle1 Decomposition with Simplex solver<br />

1 1 PD Steps 1 Sirnplex Iteration 1 Tirne (sec) 1 Specdup 1 Dual Gap<br />

TEP<br />

NAEP<br />

HEPGl<br />

HEPG?<br />

FP<br />

P#<br />

6<br />

35<br />

2<br />

3<br />

3<br />

Pt#<br />

6<br />

67<br />

3<br />

4<br />

3<br />

Pu#<br />

6<br />

47<br />

2<br />

4<br />

3<br />

LL<br />

191<br />

1360<br />

8350<br />

13305<br />

LU<br />

168<br />

1841<br />

8607<br />

12803<br />

UL<br />

149<br />

1494<br />

8542<br />

13736<br />

UU<br />

133<br />

1972<br />

6483<br />

12801<br />

WSET<br />

1.01<br />

18.08<br />

649.78<br />

997.45<br />

267063 279306 276563 71452 1 159.1<br />

PD<br />

0.36<br />

5.70<br />

36.94<br />

94.53<br />

,1708<br />

,<br />

0.53<br />

0.27<br />

1.61<br />

1.64<br />

10.16<br />

(%)<br />

0.000000<br />

0.000000<br />

0.000000<br />

0.000000<br />

0.000000

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