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On affine scaling and semi-infinite programming

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Abstract

We consider an extension of the affine scaling algorithm for linear programming problems with free variables to problems having infinitely many constraints, and explore the relationship between this algorithm and the finite affine scaling method applied to a discretization of the problem.

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References

  1. I. Adler, M.G.C. Resende, G. Veiga and N.K. Karmarkar, “An implementation of Karmarkar's algorithm for linear programming,”Mathematical Programming 44 (1989) 297–336.

    Google Scholar 

  2. I.I. Dikin, “Iterative solution of problems of linear and quadratic programming,”Soviet Mathematics Doklady 8 (1967) 674–675.

    Google Scholar 

  3. M.C. Ferris and A.B. Philpott, “An interior point algorithm for semi-infinite linear programming,”Mathematical Programming 43 (1989) 257–276.

    Google Scholar 

  4. R.J. Vanderbei, “Affine-scaling for linear programs with free variables,”Mathematical Programming 43 (1989) 31–44.

    Google Scholar 

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This material is based on research supported by Air Force Office of Scientific Research Grant AFOSR 89-0410.

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Ferris, M.C., Philpott, A.B. On affine scaling and semi-infinite programming. Mathematical Programming 56, 361–364 (1992). https://doi.org/10.1007/BF01580908

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  • DOI: https://doi.org/10.1007/BF01580908

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