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Zeitschrift für Analysis und ihre Anwendungen

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Volume 17, Issue 3, 1998, pp. 729–741
DOI: 10.4171/ZAA/847

Published online: 1998-09-30

Semi-Infinite Transportation Problems

H. Voigt[1]

(1) Universität Leipzig, Germany

An old set partitioning problem is treated as a special case of the Kantorovic-Monge transportation problem. This problem is then related to Klötzler’s transportation flow problems which allow the consideration of a local cost rate, instead of the constant cost rate in the Kantorovic-Monge problem. Three possibilities for the; numerical solution of the problem are discussed and briefly compared.

Keywords: Transportation problem, Kantorovic-Monge problem, transportation flow problem, set partitioning, market area problem

Voigt H.: Semi-Infinite Transportation Problems. Z. Anal. Anwend. 17 (1998), 729-741. doi: 10.4171/ZAA/847