Abstract
Re-optimization can be very costly for gathering and obtaining more data for a particular problem, to curb this very expensive investment. Sensitivity analysis has been used in this work to determine the behaviour of input parameters of the formulated problem. The main goal of the study is to respectively provide, derive, observe, compare and discuss the sensitivity analysis of data that has been optimized using different methods of the optimal solution. The best method, saving the highest percentage of transportation cost, for the formulated problem is determined to be the North-West Corner method. This was carried out by arbitrarily assigning values to the available warehouses to determine the best possible demand and supply cases rather than the initial cases. Thus, more cases are advised to be supplied to FID from the Asejire plant for the optimum reduced value of transportation cost.
 Keywords: Sensitivity, Parameters, Transportation Problem.
Highlights
The best application of real-life problem that has been successful over the century as numerous studies suggested in the optimization field is the transportation problem, Shraddha (2017) solved the transportation problem of the Millennium Herbal Company using different methods and comparing the results yielded
The problem was solved with three distinct methods namely; the North-West Corner Method, The Least Cost Method and the Vogel’s Approximation and compared with the result computed by the linear programming module called MAPLE
The Coca-cola plc problem was solved with three distinct methods namely; the North-West Corner Method, The Least Cost Method and the Vogel’s Approximation and compared with the result computed by the linear programming module called MAPLE
Summary
The best application of real-life problem that has been successful over the century as numerous studies suggested in the optimization field is the transportation problem, Shraddha (2017) solved the transportation problem of the Millennium Herbal Company using different methods and comparing the results yielded. Dantzig (1963) used the simplex method to determine the solution of transportation as the primal simplex transportation. Shraddha gave several methods of solving the transportation problem and obtain the objective of evaluating the similarities and differences of these methods. He proposed that initial basic feasible solution for the transportation problem can be determined through the Column minima method, Row minima, Matrix minima, Vogel’s approximation method and the North-West Corner Rule. Rao concluded that there are two major methods of obtaining solutions for practical aspects of optimisation, firstly is the sensitivity equation using Kuhn-Tucker conditions and secondly sensitivity equation using the Concept of Feasible
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