| Article ID: | iaor20023045 |
| Country: | Netherlands |
| Volume: | 63 |
| Issue: | 3 |
| Start Page Number: | 388 |
| End Page Number: | 398 |
| Publication Date: | Mar 2002 |
| Journal: | Automation and Remote Control |
| Authors: | Mironov A.A., Tsurkov V.I. |
Transportation problems are investigated by replacing the classical transportation cost minimization functionals by minimax functionals. Transportation models with minimax criteria are described and optimization algorithms for them are designed. A formula for computing the minimax matrix (a matrix of the classical transportation polyhedron whose largest element is minimal) of the transportation polyhedron is derived. One of the algorithms generates a (hereditarily minimax) matrix such that each of its submatrices is a minimax matrix of the transportation polyhedron to which the matrix belongs.