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Modeling of Fourier–Motzkin Elimination Technique for Separable Programming Problem

In: Applications of Operational Research in Business and Industries

Author

Listed:
  • Pawan Kishor Tak

    (Bhagwant University)

  • Gyan Shekhar

    (Bhagwant University)

  • Sanjay Jain

    (S. P. C. Govt. College)

  • Adarsh Mangal

    (Engineering College Ajmer)

Abstract

Separable programming problem (SPP) is an important subclass of nonlinear programming problem (NLPP). SPP deals with the programming problems of optimizing the linear (or/and) nonlinear objective function, along with subject to a set of constraints having linear (or/and) nonlinear inequalities in nature. In this research paper, an attempt has been made to solve SPP by using Fourier–Motzkin elimination technique. For this, first, we convert SPP to LPP by approximating each separable function to a piecewise linear function. Then, the solution of programming problem thus obtained can be recovered by Fourier–Motzkin elimination (FM-E) technique, which is used to solve the system of linear inequalities.

Suggested Citation

  • Pawan Kishor Tak & Gyan Shekhar & Sanjay Jain & Adarsh Mangal, 2023. "Modeling of Fourier–Motzkin Elimination Technique for Separable Programming Problem," Lecture Notes in Operations Research, in: Angappa Gunasekaran & Jai Kishore Sharma & Samarjit Kar (ed.), Applications of Operational Research in Business and Industries, chapter 0, pages 385-394, Springer.
    • Handle: RePEc:spr:lnopch:978-981-19-8012-1_25
    DOI: 10.1007/978-981-19-8012-1_25
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