Skip to main content

Stochastic gradient methods for optimizing electrical transportation networks

  • Section II Stochastic Extremal Problems
  • Conference paper
  • First Online:
Stochastic Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 81))

  • 136 Accesses

Abstract

It appears that the stochastic gradient method is

  • -very easy to implement

  • -very efficient

  • -easy to extend in the integer case

The main interest of this study is to show that this method may be applied in a domain which is not classical for it that is: large NP complete problems. In these cases it seems to give good heuristics.

This work has been supported by EDF Etudes et Recherches, Service Etude de réseaux, Département Methodes d'Optimisation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Robbins, H. and Monro, S. (1951) A stochastic approximation method Ann.Math.Statist.,22,400–407.

    Google Scholar 

  2. Polyak, B.T. (1976) Convergence and convergence rate of iterative stochastic algorithms. Automatica i Telemekhanika, 12,83–94.

    Google Scholar 

  3. Polyak,B.T. and Tsypkin, Y.Z. (1973). Pseudogradient adaptation and training algorithms. Automatica i Telemekhanica, 3.

    Google Scholar 

  4. Kushner,H.J. and Clork,D.S. (1976). Stochastic approximation methods for constrained and unconstrained systems. Springer Verlag.

    Google Scholar 

  5. Maurras,J.F. (1972) Flot optimal sur un graphe avec multiplicateurs.EDF Publication DER Serie C,(1)

    Google Scholar 

  6. Dodu,J.C. (1978) Modele dynamique d'optimisation a long terme d'un reseau de transport d'energie electrique. French Journal RAIRO, 12,(2).

    Google Scholar 

  7. Goursat,M.,Quadrat,J.P. and Viot,M. (1984) Report of EDF contract. INRIA.

    Google Scholar 

  8. Dodu J.C., Goursat,M.,Hertz A.,Quadrat,J.P. and Viot,M. (1981) Méthodes de gradient stochastique pour l'optimisation des investissements dans un réseau électrique.EDF Bulletin des Etudes et Recherches,serie C, No2, pp133–164.

    Google Scholar 

Download references

Authors

Editor information

Vadim I. Arkin A. Shiraev R. Wets

Rights and permissions

Reprints and permissions

Copyright information

© 1986 International Institute for Applied Systems Analysis

About this paper

Cite this paper

Goursat, M., Quadrat, J.P., Inria, M.V. (1986). Stochastic gradient methods for optimizing electrical transportation networks. In: Arkin, V.I., Shiraev, A., Wets, R. (eds) Stochastic Optimization. Lecture Notes in Control and Information Sciences, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007114

Download citation

  • DOI: https://doi.org/10.1007/BFb0007114

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16659-7

  • Online ISBN: 978-3-540-39841-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics