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Strong duality for transportation flow problems. (English) Zbl 1032.49039

Summary: This paper is a supplement and correction to [R. Klötzler, Z. Anal. Anwend. 14, 391-401 (1995; Zbl 0910.49015)]. Using new methods the existence of optimal transportation flows and the strong duality to deposit problems is proved.

MSC:

49N15 Duality theory (optimization)
90B10 Deterministic network models in operations research
49Q15 Geometric measure and integration theory, integral and normal currents in optimization

Citations:

Zbl 0910.49015
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References:

[1] Kantorowitsch, L. W. and A. P. Akilow: Funktionalanaiysis in normierten Rilumen. Berlin: Akademie-Verlag 1954.
[2] Sobolew, S. L. Einige Anwendungen der Funktionalanatysjs auf Gleichungen der mathe- rnatischen Physik. Berlin: Akademie-Verlag 1964. · Zbl 0137.31204
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