Computational Progress in Linear and Mixed Integer Programming
Gurobi_Progress_LP_MIP
Gurobi_Progress_LP_MIP
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The Decade of the 80’s<br />
▸ Mid 80’s:<br />
◦ There was perception was that LP software had progressed about<br />
as far as it could go – MPSX/370 <strong>and</strong> MPSIII<br />
◦ BUT LP was def<strong>in</strong>itely not a solved problem … example:<br />
“Unsolvable” airl<strong>in</strong>e LP model with 4420 constra<strong>in</strong>ts, 6711 variables<br />
▸ There were several key developments<br />
◦ IBM PC <strong>in</strong>troduced <strong>in</strong> 1981<br />
◦ Relational databases developed:<br />
Separation of logical <strong>and</strong> physical allocation of data.<br />
ERP systems <strong>in</strong>troduced.<br />
◦ Karmarkar’s 1984 paper on <strong>in</strong>terior-po<strong>in</strong>t methods<br />
© 2015 Gurobi Optimization<br />
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