A NOTE ON A DUAL SCHEME OF A LINEAR FRACTIONAL PROGRAMMING PROBLEM

Authors

  • TA QUANG SON Faculty of Applied Mathematics & Applications, Saigon University, Hochiminh City, Vietnam
  • HUYNH KHOA Nguyen Thi Dieu Highschool, Hochiminh City, Vietnam

Keywords:

Seshan duality, Charnes-Cooper transformation, Dinkelbach transformation

Abstract

We are interested in the duality scheme of a linear fractional programming problem proposed by Seshan [11]. The remarkable feature of the duality scheme is that the dual problem and the primal problem have the same linear fractional objective functions. Although the duality scheme is fascinating and has been introduced in literature, the steps how to build the scheme still be silent. The aim of this paper is to show that the dual problem can be obtained based upon the transformation form of Charnes-Cooper or by Dinkelbach with a simple change variable method.

Additional Files

Published

11/16/2017

Issue

Section

Research Articles