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The Simplex Method, Part 2

In: Linear Programming and Generalizations

Author

Listed:
  • Eric V. Denardo

    (Yale University)

Abstract

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.

Suggested Citation

  • Eric V. Denardo, 2011. "The Simplex Method, Part 2," International Series in Operations Research & Management Science, in: Linear Programming and Generalizations, chapter 0, pages 195-218, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-6491-5_6
    DOI: 10.1007/978-1-4419-6491-5_6
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