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arxiv: 1406.4812 · v3 · pith:APPYA4HQnew · submitted 2014-05-27 · 🧮 math.NA · cs.NA

A benchmark generator for boolean quadratic programming

classification 🧮 math.NA cs.NA
keywords benchmarkbooleandualitygeneratorproblemsprogrammingquadraticclassical
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For boolean quadratic programming (BQP), we will show that there is no duality gap between the primal and dual problems under some conditions by using the classical Lagrangian duality. A benchmark generator is given to create random BQP problems which can be solved in polynomial time. Several numerical examples are generated to demonstrate the effectiveness of the proposed method.

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