ON NETWORK SIMPLEX METHOD USING THE PRIMAL-DUAL SYMMETRIC PIVOTING RULE
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概要
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We consider a network simplex method using the primal-dual symmetric pivoting rule proposed by Chen, Pardalos, and Saunders. For minimum-cost network-flow problems, we prove global convergence of the algorithm and propose a new scheme in which the algorithm can start from an arbitrary pair of primal and dual feasible spanning trees. For shortest-path problems, we prove the strongly polynomial time complexity of the algorithm.
- 社団法人日本オペレーションズ・リサーチ学会の論文