23.06.2013 Views

Implementation of Cutting Plane Separators for Mixed Integer ... - ZIB

Implementation of Cutting Plane Separators for Mixed Integer ... - ZIB

Implementation of Cutting Plane Separators for Mixed Integer ... - ZIB

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

List <strong>of</strong> Tables<br />

3.1 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Altering single algorithmic<br />

aspects – Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34<br />

3.2 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Reducing the separation time<br />

– Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38<br />

3.3 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Reducing the separation time<br />

– Summary (Remaining test set) . . . . . . . . . . . . . . . . . . . . 38<br />

4.1 CPS <strong>for</strong> the 0-1 knapsack problem – LMCI1: Altering single algorithmic<br />

aspects – Summary . . . . . . . . . . . . . . . . . . . . . . . . . 71<br />

4.2 CPS <strong>for</strong> the 0-1 knapsack problem – LEWI: Altering single algorithmic<br />

aspects – Summary . . . . . . . . . . . . . . . . . . . . . . . . . 74<br />

4.3 CPS <strong>for</strong> the 0-1 knapsack problem – LMCI2: Altering single algorithmic<br />

aspects – Summary . . . . . . . . . . . . . . . . . . . . . . . . . 78<br />

4.4 CPS <strong>for</strong> the 0-1 knapsack problem: Different combination <strong>of</strong> LMCI1,<br />

LEWI, and LMCI2 – Summary . . . . . . . . . . . . . . . . . . . . . 82<br />

5.1 CPS <strong>for</strong> the 0-1 single node flow problem: Altering single algorithmic<br />

aspects – Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101<br />

5.2 CPS <strong>for</strong> the 0-1 single node flow problem: Reducing the separation<br />

time – Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105<br />

5.3 CPS <strong>for</strong> the 0-1 single node flow problem: Reducing the separation<br />

time – Summary (Remaining test set) . . . . . . . . . . . . . . . . . 106<br />

7.1 Impact <strong>of</strong> the overall per<strong>for</strong>mance <strong>of</strong> Scip: Enabling individual cutting<br />

plane separators – Summary . . . . . . . . . . . . . . . . . . . . 122<br />

7.2 Impact <strong>of</strong> the overall per<strong>for</strong>mance <strong>of</strong> Scip: Disabling individual cutting<br />

plane separators – Summary . . . . . . . . . . . . . . . . . . . . 125<br />

B.1 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Main test set . . . . . . . . 132<br />

B.2 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Remaining test set . . . . . 133<br />

B.3 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Default algorithm . . . . . . 135<br />

B.4 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Aggregation heuristic (1) . . 137<br />

B.5 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Aggregation heuristic (2) . . 139<br />

B.6 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Bound subst. heuristic (1) . 141<br />

B.7 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Bound subst. heuristic (2) . 143<br />

B.8 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Bound subst. heuristic (3) . 145<br />

B.9 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Bound subst. heuristic (4) . 147<br />

B.10 CPS <strong>for</strong> the class <strong>of</strong> c-MIR inequalities: Bound subst. heuristic (5) . 149<br />

ix

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!