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Petra Bauer

Facets of The Cardinality Constrained Circuit Polytope

Published: 2001/07/05
  • Petra Bauer
  • Jeff Linderoth
  • Martin Savelsbergh
  • Categories Integer Programming, Polyhedra

    The Cardinality Constrained Circuit Problem (CCCP) is the problem of finding a minimum cost circuit in a graph where the circuit is constrained to have at most $k$ edges. The CCCP is NP-Hard. We present classes of facet-inducing inequalities for the convex hull of feasible circuits. ArticleDownload View PDF

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    Keywords

    alternating direction method of multipliers augmented lagrangian method benders decomposition bilevel optimization Branch-and-Bound branch-and-cut chance constraints column generation combinatorial optimization complexity convergence rate convex optimization cutting planes decomposition derivative-free optimization distributionally robust optimization duality dynamic programming first-order methods global convergence global optimization heuristics integer programming interior point methods large-scale optimization linear programming machine learning mixed-integer linear programming mixed-integer nonlinear programming mixed-integer programming multiobjective optimization nonconvex optimization nonlinear optimization nonlinear programming nonsmooth optimization optimal control optimization proximal point algorithm quadratic programming robust optimization semidefinite programming stochastic optimization stochastic programming trust-region methods unconstrained optimization

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