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Algorithms for a multi-level network optimization problem

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  • Cruz, F. R. B.
  • Smith, J. MacGregor
  • Mateus, G. R.

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  • Cruz, F. R. B. & Smith, J. MacGregor & Mateus, G. R., 1999. "Algorithms for a multi-level network optimization problem," European Journal of Operational Research, Elsevier, vol. 118(1), pages 164-180, October.
    • Handle: RePEc:eee:ejores:v:118:y:1999:i:1:p:164-180
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    1. Anantaram Balakrishnan & Thomas L. Magnanti & Prakash Mirchandani, 1994. "Modeling and Heuristic Worst-Case Performance Analysis of the Two-Level Network Design Problem," Management Science, INFORMS, vol. 40(7), pages 846-867, July.
    2. Anantaram Balakrishnan & Thomas L. Magnanti & Prakash Mirchandani, 1994. "A Dual-Based Algorithm for Multi-Level Network Design," Management Science, INFORMS, vol. 40(5), pages 567-581, May.
    3. Fred Glover, 1989. "Tabu Search---Part I," INFORMS Journal on Computing, INFORMS, vol. 1(3), pages 190-206, August.
    4. Marshall L. Fisher, 1981. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 27(1), pages 1-18, January.
    5. Donald Erlenkotter, 1978. "A Dual-Based Procedure for Uncapacitated Facility Location," Operations Research, INFORMS, vol. 26(6), pages 992-1009, December.
    6. Gavish, Bezalel, 1992. "Topological design of computer communication networks -- The overall design problem," European Journal of Operational Research, Elsevier, vol. 58(2), pages 149-172, April.
    7. A. M. Geoffrion & G. W. Graves, 1974. "Multicommodity Distribution System Design by Benders Decomposition," Management Science, INFORMS, vol. 20(5), pages 822-844, January.
    8. Barcelo, J. & Casanovas, J., 1984. "A heuristic lagrangean algorithm for the capacitated plant location problem," European Journal of Operational Research, Elsevier, vol. 15(2), pages 212-226, February.
    9. Christofides, N. & Beasley, J. E., 1982. "A tree search algorithm for the p-median problem," European Journal of Operational Research, Elsevier, vol. 10(2), pages 196-204, June.
    10. Duin, Cees & Volgenant, Anton, 1989. "Reducing the hierarchical network design problem," European Journal of Operational Research, Elsevier, vol. 39(3), pages 332-344, April.
    11. Michael Held & Richard M. Karp, 1970. "The Traveling-Salesman Problem and Minimum Spanning Trees," Operations Research, INFORMS, vol. 18(6), pages 1138-1162, December.
    12. Current, John R. & ReVelle, Charles S. & Cohon, Jared L., 1986. "The hierarchical network design problem," European Journal of Operational Research, Elsevier, vol. 27(1), pages 57-66, October.
    13. Kemal Altinkemer & Bezalel Gavish, 1988. "Heuristics with Constant Error Guarantees for the Design of Tree Networks," Management Science, INFORMS, vol. 34(3), pages 331-341, March.
    14. Anantaram Balakrishnan & Kemal Altinkemer, 1992. "Using a Hop-Constrained Model to Generate Alternative Communication Network Design," INFORMS Journal on Computing, INFORMS, vol. 4(2), pages 192-205, May.
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    1. Kalashnikov, Vyacheslav V. & Pérez-Valdés, Gerardo A. & Tomasgard, Asgeir & Kalashnykova, Nataliya I., 2010. "Natural gas cash-out problem: Bilevel stochastic optimization approach," European Journal of Operational Research, Elsevier, vol. 206(1), pages 18-33, October.
    2. Gallo, Mariano & D'Acierno, Luca & Montella, Bruno, 2010. "A meta-heuristic approach for solving the Urban Network Design Problem," European Journal of Operational Research, Elsevier, vol. 201(1), pages 144-157, February.

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