International Journal of Nonlinear Analysis and Applications

Solving cubic objective function programming problem by modification simplex method

Document Type : Research Paper

Authors

Department of Mathematics, College of Education, Salahaddin University-Erbil, Kurdistan Region, Iraq

Abstract

In this paper, a cubic objective programming problem (COPP)is defined, which is in the form of multiplying three linear functions. The simplex method is modified to solve a cubic objective programming problem. An algorithm for its solution is suggested. The algorithm of the usual simplex method is also reported. A vital application talks about how the developed algorithm can be utilized to unravel non-linear. The proposed technique can be illustrated with the constructed numerical examples and it showed steps by tables. The results of the study indicate that the new technique, modified simplex, gets the same result which is exactly similar to other methods such us (quadratic, linear simplex method).

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 2
February 2023
Pages 159-165
  • Receive Date: 02 October 2021
  • Revise Date: 05 December 2021
  • Accept Date: 10 December 2021