Generalized binary variable approach to solve Multi-Choice transportation problem

A step to make Transportation problem more applicable in real life situation is the use of multi-choice for each factors like cost coefficients, demands and supplies. In this paper binary variables are used to find out an equivalent model for the given transportation problem. And the result is compared with the result when Interpolating polynomial is used to find the equivalent model. The aim of the paper is to find out a proper way to choose appropriate binary variables for finding an equivalent model for given multi choice Transportation problem. An example illustrates the proposed method and the result was compared with existing method of using Interpolating Polynomial. LINGO is used to solve the problem.