The Solution of Algebraic Assignment and Transportation Problems

In this paper solution methods for the algebraic transportation problem (ATP) are considered. The ATP covers besides the Hitchcock and the time transportation problem several other types of transportation problems of practical relevance. The solution methods are based on (weakly) admissible transformations which can be determined by maximal flow resp. by shortest path algorithms. Numerical results for these and primal methods applied to sum and bottleneck assignment resp. transportation problems are mentioned.