Abstract
Allocation of scarce resources has been one of man’s oldest problems. Resources allocations has become a great challenge when there are various demands and supplies to be met up with. This research work proposes some new methods of solving balanced transportation problems. Algorithms for these new methods are also developed in this study. The method tested with numerical examples and the solutions are the same with that of Vogel’s approximation method and minimum cost method. New method is proposed and give result that’s exact compared with that of the minimum cost method and Vogel’s approximation method. And the result obtained from the proposed method shows that the method can serve as an alternative method to minimum cost and Vogel’s methods respectively.