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
R.E. Gomory and T.C. Hu, “Multi-terminal network flows”, J. SIAM 9, 551–570, 1961.
R.E. Gomory and T.C. Hu, “Synthesis of a communication network”, J. SIAM, 12, 348–369, 1964.
T.C. Hu, Integer Programming and Network Flows, Addison Wesley Publishing, 1969.
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.
I. Ouveysi and A. Wirth, “Fast heuristics for protection networks for dynamic routing”, Journal of the operational research society, 50, 262–267, 1999.
T. Sastry, “A characterization of the two-commodity network design problem”, Networks, 36, 9–16, 2000.
S. Sridhar and R. Chandrasekaran, “Integer solution to synthesis of communication networks”, Mathematics of Operation Research, 17, 581–585, 1992.
Y. K. Tham, “Network design for simultaneous trac flow requirements”, IEICE Trans. Commun., E80-B, 930–938, 1997.
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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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