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.