Identifying the Optimal Face of a Network Linear Program with a Globally Convergent Interior Point Method
Mauricio G. C. Resende,
Takashi Tsuchiya and
Geraldo Veiga
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Mauricio G. C. Resende: AT&T Bell Laboratories
Takashi Tsuchiya: The Institute of Statistical Mathematics
Geraldo Veiga: University of California
A chapter in Large Scale Optimization, 1994, pp 362-387 from Springer
Abstract:
Abstract Based on recent convergence results for the affine scaling algorithm for linear programming, we investigate strategies to identify the optimal face of a minimum cost network flow problem. In the computational experiments described, one of the proposed optimality indicators is used to implement an early stopping criterion in DLNET, an implementation of the dual affine scaling algorithm for solving minimum cost network flow problems. We conclude from the experiments that the new indicator is far more robust than the one used in earlier versions of DLNET.
Keywords: Linear programming; minimum cost network flow; indicator; affine scaling algorithm; computer implementation (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-3632-7_18
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DOI: 10.1007/978-1-4613-3632-7_18
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