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What is a Disjunction? - IEOR @IIT Bombay

What is a Disjunction? - IEOR @IIT Bombay

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Conclusions and Future Work<br />

◮ Selecting the “best” d<strong>is</strong>junction <strong>is</strong> N P−hard in the general case<br />

and also for several natural restrictions.<br />

◮ These d<strong>is</strong>junctions can reduce significantly the size of<br />

branch-and-bound tree.<br />

◮ Inequalities obtained from such d<strong>is</strong>junctions can also increase<br />

the bound much better than maximally violated inequalities.<br />

◮ However, fast heur<strong>is</strong>tics to d<strong>is</strong>cover such d<strong>is</strong>junctions need to be<br />

developed.<br />

◮ <strong>What</strong> <strong>is</strong> best way to use a d<strong>is</strong>junction: branch or generate valid<br />

inequalities?

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