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Numerical implementation and computational results of nonlinear network optimization with linear side constraints

  • II Mathematical Programming
  • Conference paper
  • First Online:
System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 180))

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References

  1. D.P. Bertsekas, “Constrained optimization and Lagrange multiplier methods”, (Academic Press, London, 1982).

    MATH  Google Scholar 

  2. G.H. Bradley, G.G. Brown and G.W. Graves, “Design and implementation of large scale transshipment algorithms” Management Science 24 (1977) 1–34.

    Article  MATH  Google Scholar 

  3. R.S. Dembo, “A primal truncated newton algorithm with application to large-scale nonlinear network optimization”, Mathematical Programming Studies 31 (1987) 43–71.

    MATH  MathSciNet  Google Scholar 

  4. R.S. Dembo and T. Steihaug, “Truncated-Newton algorithms for large-scale unconstrained optimization”, Mathematical Programming 26 (1983) 190–212.

    Article  MATH  MathSciNet  Google Scholar 

  5. E. Hellerman and D. Rarick, “Reinversion with the preassigned pivot procedure”, Mathematical Programming 1 (1971) 195–216.

    Article  MATH  MathSciNet  Google Scholar 

  6. F.J. Heredia and N. Nabona, “Large scale nonlinear network optimization with linear side constraints”, presented at the EURO XI, 11th European Congress on Operational Research, (Aachen, july 1991)

    Google Scholar 

  7. F.J. Heredia and N. Nabona, “Programa FXCB de fluxos lineals en xarxes amb constriccions a banda lineals”, research report RR 90/06 Facultat d’Informàtica de Barcelona, 1990.

    Google Scholar 

  8. J.L. Kennington and R.V. Helgason, “Algorithm for network programming”, (John Wiley & Sons, New York, 1980).

    Google Scholar 

  9. B.A. Murtagh and M.A. Saunders, “Large-scale linearly constrained optimization”, Mathematical Programming 14 (1978) 41–72.

    Article  MATH  MathSciNet  Google Scholar 

  10. B.A. Murtagh and M.a. Saunders, “MINOS 5.0 User’s Guide.” Dept. of Operations Research, Stanford University, CA 9430, USA.

    Google Scholar 

  11. N. Nabona, “Descripció del programa LEXA”, research report of the Facultat d’Informàtica de Barcelona (to appear)

    Google Scholar 

  12. Ph.L. Toint and D. Tuyttens, “On large scale nonlinear network optimization”, Mathematical Programming 48 (1990) 125–159.

    Article  MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Statistics and Operations Research Department, Universitat Politècnica de Catalunya, Pau Gargallo 5, 08028, Barcelona

    F. Javier Heredia & Narcís Nabona

Authors
  1. F. Javier Heredia
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  2. Narcís Nabona
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Editor information

L. D. Davisson A. G. J. MacFarlane H. Kwakernaak J. L. Massey Ya Z. Tsypkin A. J. Viterbi Peter Kall

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© 1992 International Federation for Information Processing

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Heredia, F.J., Nabona, N. (1992). Numerical implementation and computational results of nonlinear network optimization with linear side constraints. In: Davisson, L.D., et al. System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0113297

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  • DOI: https://doi.org/10.1007/BFb0113297

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55577-3

  • Online ISBN: 978-3-540-47220-9

  • eBook Packages: Springer Book Archive

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