Multiindex transportation problems with 2-embedded structure

  • Authors:
  • L. G. Afraimovich

  • Affiliations:
  • Nizhni Novgorod State University, Nizhni Novgorod, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2013

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Abstract

We consider multiindex transportation problems of linear and integer linear programming. As a method of solving them, we propose an approach based on reductions of multiindex transportation problems to min-flow problems. We show that under the reduction scheme we consider, the 2-embeddability condition for multiindex problems is a necessary and sufficient condition for the problem to be reducible to a min-cost flow problem.