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

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

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Motivation: Branch-cut-<strong>and</strong>-<strong>price</strong><br />

• Ma<strong>in</strong> research trend:<br />

– Problem specific <strong>cuts</strong> <strong>in</strong> the variables of the compact<br />

formulation.<br />

• Many succesful applications:<br />

– Vehicle rout<strong>in</strong>g problem with time w<strong>in</strong>dows: Kohl, Desrosiers,<br />

Madsen, Solomon , Soumis (1999)<br />

– Multicommodity flow problems: Barnhart, Hane, Vance (2000)<br />

– Capacitated vehicle rout<strong>in</strong>g problem: Fukasawa, Longo, Lysgaard,<br />

Poggi de Aragão, Reis, Uchoa, Werneck (2006)<br />

– Multiple depot vehicle schedul<strong>in</strong>g: Hadjar, Marcotte, Soumis<br />

(2006)<br />

– Capacitated m<strong>in</strong>imum spann<strong>in</strong>g tree: Uchoa, Fukasawa,<br />

Lysgaard, Pessoa, Poggi de Aragão, Andrade (2007).<br />

• Some research on generic <strong>cuts</strong> on the variables of the<br />

extended formulation:<br />

– Petersen, Pis<strong>in</strong>ger, Spoorendonk (2007)

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