Dual model for classic transportation problem as a tool for dynamizing management in a logistics company

Each primary model of the linear programming problem has a corresponding dual model. It is widely accepted that the simplex method, in addition to determining the optimal solution for the original problem, also allows specifying a solution to the dual problem. So far, the dual problem solution has mainly served the post-optimization procedure, i.e. the analysis of modification of the primary model [20, 21, 27, 28]. However, the dual model itself is not generally subject to a deeper study and no conclusions are drawn from its full analysis. The lasting and prominent place that the classic transportation model takes, requires also to be complemented through the full development of its dual problem interpretation, including post-optimization problems. This paper presents and, for the first time, widely interprets the dual model for the classic model of the transportation problem. Moreover, potential possibilities connected with the use of ambiguities of the obtained solutions to the dual problem have been shown. It has been pointed out how these capabilities can be applied to a flexible financial policy of a logistics company.