Computational Development of Duality for Mathematical Programming Problem: Historic Analysis

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.