The Simplex Method, Part 2

  • Eric V. DenardoEmail author
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 149)


This chapter completes this book’s introductory account of the simplex method. In this chapter, you will see:
  • How Phase I of the simplex method determines whether a linear program has a feasible solution and, if so, how it constructs a basic feasible tableau with which to initiate Phase II.

  • That the simplex method can “cycle” (fail to terminate finitely) and that it can be kept from doing so.

  • That the simplex method readily accommodates variables that are not required to be nonnegative.


Free Variable Simplex Method Basic Feasible Solution Ellipsoid Method Nonbasic Variable 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Yale UniversityNew HavenUSA

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