Conforti, Michele, Wolsey, Laurence A. and Zambelli, Giacomo (2010) Projecting an extended formulation for mixed-integer covers on bipartite graphs. Mathematics of operations research, 35 (3). pp. 603-623. ISSN 0364-765X
We consider the mixed-integer version of bipartite vertex cover. This is equivalent to a mixed-integer network dual model, introduced recently, that generalizes several mixed-integer sets arising in production planning. We derive properties of inequalities that are valid for the convex hull of the mixed-integer bipartite covers by projecting an extended formulation onto the space of the original variables. This permits us to give a complete description of the facet-inducing inequalities of the double mixing set and of the continuous mixing set with flows, two mixed-integer sets that generalize several models studied in the literature.
|Additional Information:||© 2010 Informs|
|Uncontrolled Keywords:||mixed-integer programming, extended formulations, mixing sets|
|Library of Congress subject classification:||Q Science > QA Mathematics|
|Sets:||Departments > Management|
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