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Disjunctive cuts in branch-and-but-and-price algorithms ... - gerad

Disjunctive cuts in branch-and-but-and-price algorithms ... - gerad

Disjunctive cuts in branch-and-but-and-price algorithms ... - gerad

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Our c<strong>and</strong>idate: <strong>Disjunctive</strong> <strong>cuts</strong> <strong>in</strong> the<br />

variables of the compact formulation<br />

• Dates back to a technical report by E.<br />

Balas from 1974.<br />

• Was shown to be useful <strong>in</strong> practice by<br />

Balas, Ceria, Cornuéjols (1993).<br />

• Includes or is equivalent to a number of<br />

other generic cutt<strong>in</strong>g planes: Lift-<strong>and</strong>project<br />

<strong>cuts</strong>, split <strong>cuts</strong>, <strong>in</strong>tersection <strong>cuts</strong>,<br />

gomory mixed <strong>in</strong>teger <strong>cuts</strong><br />

• Is <strong>in</strong>cluded <strong>in</strong> some form <strong>in</strong> both CPLEX<br />

<strong>and</strong> Xpress-MP.

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