Ellipsoidal mixed-integer representability
Representability results for mixed-integer linear systems play a fundamental role in optimization since they give geometric characterizations of the feasible sets that can be formulated by mixed-integer linear programming. We consider a natural extension of mixed-integer linear systems obtained by a...
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| Veröffentlicht in: | Mathematical programming 2018-11, Vol.172 (1-2), p.351-369 |
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| creator | Del Pia, Alberto Poskin, Jeffrey |
| description | Representability results for mixed-integer linear systems play a fundamental role in optimization since they give geometric characterizations of the feasible sets that can be formulated by mixed-integer linear programming. We consider a natural extension of mixed-integer linear systems obtained by adding just one ellipsoidal inequality. The set of points that can be described, possibly using additional variables, by these systems are called ellipsoidal mixed-integer representable. In this work, we give geometric conditions that characterize ellipsoidal mixed-integer representable sets. |
| doi_str_mv | 10.1007/s10107-017-1196-6 |
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| ispartof | Mathematical programming, 2018-11, Vol.172 (1-2), p.351-369 |
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| subjects | Calculus of Variations and Optimal Control Optimization Combinatorics Full Length Paper Integer programming Linear programming Linear systems Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Mathematics of Computing Numerical Analysis Theoretical |
| title | Ellipsoidal mixed-integer representability |
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