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A Simultaneous Maximum Flow Algorithm for the Selection Model

Zhang, Bin; Ward, Julie; Feng, Annabelle

HPL-2005-91

Keyword(s): Maximum Flow; parametric flow networks; graphs; optimization; selection; sequencing

Abstract: A new algorithm, SPMFsimple, for finding the complete chain of solutions of the product selection model is presented in this report. λ-directed simple residual path is identified to the only kind of residual path necessary for the new algorithm. By augmenting the right amount of flows along λ-directed simple residual paths, the new algorithm is monotone convergent.

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