06.10.2015 Views

Computational Progress in Linear and Mixed Integer Programming

Gurobi_Progress_LP_MIP

Gurobi_Progress_LP_MIP

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Example: A Production Plann<strong>in</strong>g Model<br />

401,640 constra<strong>in</strong>ts 1,584,000 variables<br />

Solution time l<strong>in</strong>e (2.0 GHz Pentium 4):<br />

◦ Test: Went back to 1 st CPLEX (1988)<br />

◦ 1988 (CPLEX 1.0): 29.8 days<br />

◦ 1997 (CPLEX 5.0): 1.5 hours<br />

◦ 2003 (CPLEX 9.0): 59.1 seconds<br />

Speedup<br />

1x<br />

480x<br />

43500x<br />

The algorithm: Dantzig’s primal simplex algorithm!<br />

© 2015 Gurobi Optimization<br />

13

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

Saved successfully!

Ooh no, something went wrong!