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Nonlinear Programming

In: Operations Research

Author

Listed:
  • H. A. Eiselt

    (University of New Brunswick)

  • Carl-Louis Sandblom

    (Dalhousie University)

Abstract

In the Introduction to Linear Programming in Sect. 2.1 in this volume, we outlined that the objective function(s) and the constraints in linear programming are assumed to be linear functions in the variables. In this chapter, we drop this assumption and only assume divisibility and the deterministic property. Given that, we can view nonlinear programming as a generalization of linear programming. Another important distinction between linear and nonlinear programming is that in nonlinear programming, constraints are not necessarily needed to ensure finite optima as is the case in linear programming. For instance, the nonlinear objective

Suggested Citation

  • H. A. Eiselt & Carl-Louis Sandblom, 2022. "Nonlinear Programming," Springer Texts in Business and Economics, in: Operations Research, edition 3, chapter 4, pages 143-159, Springer.
    • Handle: RePEc:spr:sptchp:978-3-030-97162-5_4
    DOI: 10.1007/978-3-030-97162-5_4
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