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Linear Programming Algorithms

In: Linear Programming Using MATLAB®

Author

Listed:
  • Nikolaos Ploskas

    (University of Macedonia)

  • Nikolaos Samaras

    (University of Macedonia)

Abstract

LPs can be formulated in various forms. An LP problem consists of the objective function, the constraints, and the decision variables. This chapter presents the theoretical background of LP. More specifically, the different formulations of the LP problem are presented. Detailed steps on how to formulate an LP problem are given. In addition, the geometry of the feasible region and the duality principle are also covered. Finally, a brief description of LP algorithms that will be used in this book is also presented.

Suggested Citation

  • Nikolaos Ploskas & Nikolaos Samaras, 2017. "Linear Programming Algorithms," Springer Optimization and Its Applications, in: Linear Programming Using MATLAB®, chapter 0, pages 13-71, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-65919-0_2
    DOI: 10.1007/978-3-319-65919-0_2
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