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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

  1. R.E. Gomory and T.C. Hu, “Multi-terminal network flows”, J. SIAM 9, 551–570, 1961.

    MATH  MathSciNet  Google Scholar 

  2. R.E. Gomory and T.C. Hu, “Synthesis of a communication network”, J. SIAM, 12, 348–369, 1964.

    MATH  MathSciNet  Google Scholar 

  3. T.C. Hu, Integer Programming and Network Flows, Addison Wesley Publishing, 1969.

    Google Scholar 

  4. I. Ouveysi and A. Wirth, “On design of a survivable network architecture for dynamic routing: optimal solution strategy and an efficient heuristic”, European Journal of Operational Research, 117,30–44, 1999.

    Article  MATH  Google Scholar 

  5. I. Ouveysi and A. Wirth, “Fast heuristics for protection networks for dynamic routing”, Journal of the operational research society, 50, 262–267, 1999.

    Article  MATH  Google Scholar 

  6. T. Sastry, “A characterization of the two-commodity network design problem”, Networks, 36, 9–16, 2000.

    Article  MATH  MathSciNet  Google Scholar 

  7. S. Sridhar and R. Chandrasekaran, “Integer solution to synthesis of communication networks”, Mathematics of Operation Research, 17, 581–585, 1992.

    Article  MATH  MathSciNet  Google Scholar 

  8. Y. K. Tham, “Network design for simultaneous trac flow requirements”, IEICE Trans. Commun., E80-B, 930–938, 1997.

    Google Scholar 

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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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