Skip to main content

A Note on Sequential Minimax Rules for Stochastic Linear Programs

  • Conference paper
Recent Results in Stochastic Programming

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 179))

  • 48 Accesses

Abstract

A sequential statistical decision model for stochastic linear programs with estimable unknown parameter is introduced. It is shown that a minimax rule exists and that value iteration is possible under continuity and compactness assumptions.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Gleit, A.: On Statistical Decision Rules in Stochastic Linear Programming with Simple Recourse. Submitted to Mathematics of Operations Research, 1978

    Google Scholar 

  2. Hinderer, K.: Foundations of Non-stationary Dynamic Programming with Discrete Time Parameter. Springer-Verlag, 1970, Berlin

    Book  Google Scholar 

  3. Iosifescu, M. and Theodorescu, R.: Linear Programming under Uncertainty. In Prékopa, A. (ed.), Coll. Appl. Math. to Economics, Budapest 1963, pp. 133–139, 1965.

    Google Scholar 

  4. Schäl, M.: On Dynamic Programming and Statistical Decision Theory. Preprint No. 84, University of Bonn, 1976,

    Google Scholar 

  5. Schäl, M.: On Dynamic Programming and Statistical Decision Theory. and The Annals of Statistics, Vol. 7, No. 2, pp. 432–445, 1979.

    Article  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Heilmann, WR. (1980). A Note on Sequential Minimax Rules for Stochastic Linear Programs. In: Kall, P., Prékopa, A. (eds) Recent Results in Stochastic Programming. Lecture Notes in Economics and Mathematical Systems, vol 179. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51572-9_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-51572-9_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10013-3

  • Online ISBN: 978-3-642-51572-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics