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This paper introduces a deterministic algorithm for solving an instance ofthe Subset Sum Problem based on a new method entitled the Bipartite SynthesisMethod. The algorithm is described and shown to have worst-case limitingperformance over similar to the best deterministic algorithms achieving runtime complexity on the order of O(2^0.5n). This algorithm is representative ofa more expansive capability that might convey significant advantages overexisting deterministic or probabilistic methods, and it is amenable to blendingwith existing methods. The method introduced can be applied to a variety ofdecision and optimization problems.

Bipartite Synthesis Method applied to the Subset Sum Problem demonstrates capability as decision and optimization tool