Lagrange’s Interpolating Polynomial Approach to Solve Multi-choice Transportation Problem

This paper deals with the multi-choice transportation problem (TP) in which the parameters of the TP such as the cost coefficients of the objective function, supplies and demands of the constraints are all followed multi-choice parameters. The main aim of this paper is to select an appropriate choice from the multi-choices for the cost coefficients of the objective function, supplies and demands of the constraints in TP by introducing Lagrange’s interpolating polynomial in such a way that the total cost is minimum. Finally, a non-linear mathematical model has been formulated. Using LINGO software, the optimal solution of the proposed problem is obtained. A real-life problem on multi-choice TP is considered to illustrate the proposed method in this paper.