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State-of-the-art computational results have shown that primal simplex algorithms are more efficient than primal-dual algorithms for general minimum cost network flow problems. There is, however, some controversy concerning their relative merits for solving assignment problems. This paper presents a detailed development for a computationally efficient primal-dual algorithm and extensive computational comparisons to primal simplex algorithms.
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Leon F. McGinnis (1983) studied this question.
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