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Network Probabilistic Connectivity: Optimal Structures

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3046))

Abstract

The problems of optimizing the network structure by the reliability criteria is discussed. The networks with absolutely reliable nodes and unreliable edges are considered, and a special attention is given to the structures based on rings. The tasks of global optimization, optimal interconnection, and optimal addition of new edges to existent graphs are considered and reliability polynomials are used for optimization. Some derivations are made with the use of original methods based on consideration of long chains.

This paper was partially supported by BK21 program, University ITRC and RFBR. Dr. Choo is the corresponding author.

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© 2004 Springer-Verlag Berlin Heidelberg

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Rodionova, O.K., Rodionov, A.S., Choo, H. (2004). Network Probabilistic Connectivity: Optimal Structures. In: Laganá, A., Gavrilova, M.L., Kumar, V., Mun, Y., Tan, C.J.K., Gervasi, O. (eds) Computational Science and Its Applications – ICCSA 2004. ICCSA 2004. Lecture Notes in Computer Science, vol 3046. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24768-5_46

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  • DOI: https://doi.org/10.1007/978-3-540-24768-5_46

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22060-2

  • Online ISBN: 978-3-540-24768-5

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