A Diophantine transport problem from 2016 and its possible solution in 1903

15 Mar 2020 Boumova Silvia Drensky Vesselin Kostadinov Boyan

Motivated by a recent Diophantine transport problem about how to transport profitably a group of persons or objects, we survey classical facts about solving systems of linear Diophantine equations and inequalities in nonnegative integers. We emphasize on the method of Elliott from 1903 and its further developed by MacMahon in his ``$\Omega$-Calculus'' or Partition Analysis... (read more)

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Categories


  • NUMBER THEORY
  • COMBINATORICS
  • OPTIMIZATION AND CONTROL