A Lagrangian Heuristic Based Branch-and-Bound Approach for the Capacitated Network Design Problem
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DOI: 10.1287/opre.48.3.461.12439
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References listed on IDEAS
- T. L. Magnanti & R. T. Wong, 1984. "Network Design and Transportation Planning: Models and Algorithms," Transportation Science, INFORMS, vol. 18(1), pages 1-55, February.
- Kaj Holmberg & Johan Hellstrand, 1998. "Solving the Uncapacitated Network Design Problem by a Lagrangean Heuristic and Branch-and-Bound," Operations Research, INFORMS, vol. 46(2), pages 247-259, April.
- Bazaraa, Mokhtar S. & Sherali, Hanif D., 1981. "On the choice of step size in subgradient optimization," European Journal of Operational Research, Elsevier, vol. 7(4), pages 380-388, August.
- A. Balakrishnan & T. L. Magnanti & R. T. Wong, 1989. "A Dual-Ascent Procedure for Large-Scale Uncapacitated Network Design," Operations Research, INFORMS, vol. 37(5), pages 716-740, October.
- Bruce W. Lamar & Yosef Sheffi & Warren B. Powell, 1990. "A Capacity Improvement Lower Bound for Fixed Charge Network Design Problems," Operations Research, INFORMS, vol. 38(4), pages 704-710, August.
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Keywords
Programming; integer; algorithms; relaxation/subgradient; branch-and-bound: for the capacitated network design problem; Networks/graphs; multicommodity: fixed charges;All these keywords.
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