Extremal and optimal solutions in the transshipment problem

Viktor Beneš

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 1, page 97-112
  • ISSN: 0010-2628

Abstract

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The paper yields an investigation of the set of all finite measures on the product space with given difference of marginals. Extremal points of this set are characterized and constructed. Sets of uniqueness are studied in the relation to marginal problem. In the optimization problem the support of the optimal measure is described for a class of cost functions. In an example the optimal value is reached by an unbounded sequence of measures.

How to cite

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Beneš, Viktor. "Extremal and optimal solutions in the transshipment problem." Commentationes Mathematicae Universitatis Carolinae 33.1 (1992): 97-112. <http://eudml.org/doc/247375>.

@article{Beneš1992,
abstract = {The paper yields an investigation of the set of all finite measures on the product space with given difference of marginals. Extremal points of this set are characterized and constructed. Sets of uniqueness are studied in the relation to marginal problem. In the optimization problem the support of the optimal measure is described for a class of cost functions. In an example the optimal value is reached by an unbounded sequence of measures.},
author = {Beneš, Viktor},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {transshipment problem; set of uniqueness; simplicial measure; optimal solution; set of uniqueness; simplicial measure; Extreme points; optimal solution; transshipment problem},
language = {eng},
number = {1},
pages = {97-112},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Extremal and optimal solutions in the transshipment problem},
url = {http://eudml.org/doc/247375},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Beneš, Viktor
TI - Extremal and optimal solutions in the transshipment problem
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 1
SP - 97
EP - 112
AB - The paper yields an investigation of the set of all finite measures on the product space with given difference of marginals. Extremal points of this set are characterized and constructed. Sets of uniqueness are studied in the relation to marginal problem. In the optimization problem the support of the optimal measure is described for a class of cost functions. In an example the optimal value is reached by an unbounded sequence of measures.
LA - eng
KW - transshipment problem; set of uniqueness; simplicial measure; optimal solution; set of uniqueness; simplicial measure; Extreme points; optimal solution; transshipment problem
UR - http://eudml.org/doc/247375
ER -

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