Which matrices are immune against the transportation paradox?

  • Authors:

  • Vladimir G. Deǐneko;Bettina Klinz;Gerhard J. Woeginger

  • Affiliations:

  • Warwick Business School, The University of Warwick, Coventry CV4 7AL, UK;Institut für Mathematik B, TU Graz, Steyrergasse 30, A-8010 Graz, Austria;Department of Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2003

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Abstract

We characterize the m × n cost matrices of the transportation problem for which there exist supplies and demands such that the transportation paradox arises. Our characterization is fairly simple and can be verified within O(mn) computational steps. Moreover, we discuss the corresponding question for the algebraic transportation problem.