| Article ID: | iaor20127295 |
| Volume: | 6 |
| Issue: | 8 |
| Start Page Number: | 1945 |
| End Page Number: | 1949 |
| Publication Date: | Dec 2012 |
| Journal: | Optimization Letters |
| Authors: | Sherali Hanif |
| Keywords: | networks, networks: flow, programming: linear |
In a recent paper, (Xu et al. , 2011) presented an algorithm for solving linear fractional programming problems over networks, and proposed and analyzed a dual formulation for this problem. This note shows that the algorithm of Xu et al. is precisely that of Gilmore and Gomory (1963), and the related duality results follow directly by adopting the transformation of Charnes and Cooper (1962) to equivalently rewrite the linear fractional program as a linear program and then applying linear programming duality.