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Synthesis of 2-Commodity Flow Networks

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Integer Programming and Combinatorial Optimization (IPCO 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2081))

Abstract

We investigate network planning and design under volatile conditions of link failures and traffic overload. Our model is a non- simultaneous 2-commodity problem. We characterize the feasible solu- tions and using this characterization we reduce the size of the LP pro- gram. For the case that all non-zero requirements are equal we present a closed fractional optimal solution, a closed integer (where the capacities of the solution network are integer) optimal solution and we investigate the integral case for which an integer 2-commodity flow must exist for every pair of requirements.

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References

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© 2001 Springer-Verlag Berlin Heidelberg

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Hassin, R., Levin, A. (2001). Synthesis of 2-Commodity Flow Networks. In: Aardal, K., Gerards, B. (eds) Integer Programming and Combinatorial Optimization. IPCO 2001. Lecture Notes in Computer Science, vol 2081. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45535-3_18

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  • DOI: https://doi.org/10.1007/3-540-45535-3_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42225-9

  • Online ISBN: 978-3-540-45535-6

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