An adaptive special purpose algorithm for a class of two - stage single constrained linear fractional programming problem

Abstract

This paper presents the development of a special purpose procedure for solving the two -stage single constrained linear fractional programming with bounded variables. This model consists of a constraint under uncertainties on the right hand side. A graphical -based method of Wichakul et al. (2007) was used sequentially along with interpolations of the corresponding Lagrange Multiplier to solve the problem. A comparative study of computational time on various large scale problem sizes with the state of the art Solver-Gurobi was conducted and reported.