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Abstract

A typical technical problem leading to a minimum cost network is the design of a communication or transportation system connecting several places. Usually certain costs are assigned to each connection line. These costs can be either investment costs or operating costs or a combination of both. In this paper are shown the first results of investigation of this problem with the costs of the network nonlinearly dependent of the structure of the network.

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© 1977 Springer Basel AG

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van der Heyden, W.P.A. (1977). Some experiments with Steiner trees. In: Collatz, L., Meinardus, G., Wetterling, W. (eds) Numerische Methoden bei Optimierungsaufgaben Band 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 36. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5936-3_6

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  • DOI: https://doi.org/10.1007/978-3-0348-5936-3_6

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5937-0

  • Online ISBN: 978-3-0348-5936-3

  • eBook Packages: Springer Book Archive

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