2024
DOI: 10.32920/26052688.v1
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Solving Binary Integer Programing Problems With Balas' Additive Algorithm Using Graphics Processing Units

Joseph Ryan Glover

Abstract: <p>This thesis seeks to determine if Balas' additive algorithm for solving Binary Integer Programming (BIP) problems benefits from parallel processing. It establishes serial implementations of a subproblem form and bookkeeping form of Balas' algorithm that introduce new branching rules, memory compaction schemes, fathoming rules and a record keeping method. Parallel implementations of the subproblem and bookkeeping algorithms are developed that use Graphics Processing Units (GPUs) as the parallel platfor… Show more

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