IITM Journal of Management and IT
  • Year: 2024
  • Volume: 15
  • Issue: 1

Computational development of duality for mathematical programming problem: Historic analysis

  • Author:
  • Megha Sharma1
  • Total Page Count: 9
  • Page Number: 7 to 15

1Associate Professor, Department of Management,Institute of Information Technology & Management, GGSIPU, drmsmath22@gmail.com, megha_sharma@iitmipu.ac.in

Online published on 24 June, 2025.

Abstract

The theory of classical duality programming problem launched in 1948, an alternative approach to solve the mathematical programming problem. The questions of whether the duality can be seen as a multiple discovery and why the duality results were served as boon in solving mathematical programming problems and employed in the different fields. On the basis of a contextualized historic analysis of this work, the significance of contexts both computationally and theoretically for these questions are illustrated which includes the role played in mathematical programming problem.

Keywords

Nonlinear programming problem, Duality, Machine Learning