Mass transhipment problems and ideal metrics

S. T. Rachev

doi:10.1080/01630569108816452

Mass transhipment problems and ideal metrics

S. T. Rachev

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Given initial and final mass distributions P and Q on R^kwe study dual and explicit solutions of the mass transhipment problem: [formula omitted] where m_nis a signed measure with d.f. Fm_n 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 language	English
Pages (from-to)	563-573
Number of pages	11
Journal	Numerical Functional Analysis and Optimization
Volume	12
Issue number	5-6
DOIs	https://doi.org/10.1080/01630569108816452
State	Published - Jan 1 1991

Keywords

ideal probability metrices
mass transhipment problem
network flow problem

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10.1080/01630569108816452

Cite this

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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.",

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AB - 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.

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KW - network flow problem

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Mass transhipment problems and ideal metrics

Abstract

Keywords

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