ConceptIntegrality Gap
Integrality Gap
The ratio gap between the optimal value of an integer programming problem and the optimal value of its corresponding linear programming relaxation, reflecting the tightness of the relaxation.
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Oct 17
Even if the relaxed problem attains the global optimum, there still exists an integrality gap between the rounded 0/1 solution and the true optimal solution, and its size depends on the specific instance structure.
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