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math.OC 1

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2024 1

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On the integrality gap of convex mixed-integer programs

math.OC · 2024-12-31 · unverdicted · novelty 6.0

Characterizes classes of convex sets yielding finite integrality gaps for convex MIPs, supplies gap estimates for two classes, and demonstrates that polyhedral approximations can produce arbitrarily poor gap bounds.

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  • On the integrality gap of convex mixed-integer programs math.OC · 2024-12-31 · unverdicted · none · ref 17

    Characterizes classes of convex sets yielding finite integrality gaps for convex MIPs, supplies gap estimates for two classes, and demonstrates that polyhedral approximations can produce arbitrarily poor gap bounds.