Skip to main content

The Polynomiality of the Expected Number of Steps

  • Chapter
The Simplex Method

Part of the book series: Algorithms and Combinatorics ((AC,volume 1))

  • 654 Accesses

Abstract

In this chapter we are going to prove that E m,n (S) and also E m,n (s) are polynomial in m and n. The proof is highly technical and must be done very carefully. So I will explain it in detail and I will try to illustrate our considerations as well as possible.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Borgwardt, K.H. (1987). The Polynomiality of the Expected Number of Steps. In: The Simplex Method. Algorithms and Combinatorics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61578-8_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-61578-8_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17096-9

  • Online ISBN: 978-3-642-61578-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics