Mass transhipment problems and ideal metrics

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Abstract

Given initial and final mass distributions P and Q on Rkwe study dual and explicit solutions of the mass transhipment problem: [formula omitted] where mnis a signed measure with d.f. Fmn For the usual choice of the cost function, c(x, y) = ║ x – y║, the solution of the transhipment problem determines an ideal metric of order kn + 1.

Original languageEnglish
Pages (from-to)563-573
Number of pages11
JournalNumerical Functional Analysis and Optimization
Volume12
Issue number5-6
DOIs
StatePublished - Jan 1 1991

Keywords

  • ideal probability metrices
  • mass transhipment problem
  • network flow problem

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