### Computational tests on the decomposition algorithm for the transportation problem

**Published:**14.10.2014

**Authors:** Gurchenkov A.A., Tizik A.P., Torchinskaya E.V.

**Published in issue: **#5(29)/2014

**DOI: **10.18698/2308-6033-2014-5-1293

**Category:** Information technology

The article presents numerical tests of iterative method for solving transportation problem based on successive recalculations of functional coefficient. Optimal solution is achieved in three iterations and degeneration is not involved. This solution matches those obtained by standard program using method of potentials. Standard optimization methods are used. Algorithm constructs a sequence of solutions for intermediate one-dimensional problems, which are not permissible for the original problem. Monotonous functional growth at pseudosolutions takes place. Formulas of solutions of intermediate two-dimensional problems with hooked variables are composed. Coefficients of functional are successively recalculated. Finally permissible solution is searched in a set of equations. If there is no such solution the problem of maximum flow with transportation limitations is solved. Corresponding indices pairs are formed by certain rule.

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