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X - UWSpace - University of Waterloo

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We dso anaiyzed the speed-ups and efficiencies for FP obtained from 1 to 4 processon<br />

as show in Figures 5.6 and 5.7 respectively. Figure 5.6 shows that the parallel decomposition<br />

algorithm can speed up the solution time for utilizing both simplex and barrier methods in a larger<br />

FP model. With the two processors, Pu had the first pend's scenarios 1 to 3 and PL had 4 to 7.<br />

With the three processors. FP was divided into 3 pans: Pu (scenarios 1 to 3). Pw (scenarios 4 and<br />

5) and Pu (scenarios 6 and 7). Note that WrZTPAR cm also handle another aitemative <strong>of</strong> 3 parts.<br />

PUL' . PuL and PL, by indicating the subpmblem type in each processor. Figure 5.6 shows that the<br />

parallel decomposition algorithm c m speed up the solution time for utilizing both simplex and<br />

bmier methods in a larger FP model. Figure 5.7 indicates that the parailel decomposition<br />

algorithm for FP cm have efficiencies pater than 1 by using the simplex method but not for the<br />

banier method.<br />

12 -<br />

Speedups for FP<br />

Figure 5.7 Speedups for FP with Simplex and Barrier<br />

105

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