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Optimization engineering techniques for the exact solution of NP-hard combinatorial optimization problems

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  • Toth, Paolo

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  • Toth, Paolo, 2000. "Optimization engineering techniques for the exact solution of NP-hard combinatorial optimization problems," European Journal of Operational Research, Elsevier, vol. 125(2), pages 222-238, September.
    • Handle: RePEc:eee:ejores:v:125:y:2000:i:2:p:222-238
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    1. Scholl, Armin & Klein, Robert & Jürgens, Christian, 1996. "BISON : a fast hybrid procedure for exactly solving the one-dimensional bin packing problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 49135, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    2. Giorgio Carpaneto & Paolo Toth, 1980. "Some New Branching and Bounding Criteria for the Asymmetric Travelling Salesman Problem," Management Science, INFORMS, vol. 26(7), pages 736-743, July.
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    5. Matteo Fischetti, 1991. "Facets of the Asymmetric Traveling Salesman Polytope," Mathematics of Operations Research, INFORMS, vol. 16(1), pages 42-56, February.
    6. Silvano Martello & Paolo Toth, 1984. "A Mixture of Dynamic Programming and Branch-and-Bound for the Subset-Sum Problem," Management Science, INFORMS, vol. 30(6), pages 765-771, June.
    7. Samuel Eilon & Nicos Christofides, 1971. "The Loading Problem," Management Science, INFORMS, vol. 17(5), pages 259-268, January.
    8. P. C. Gilmore & R. E. Gomory, 1963. "A Linear Programming Approach to the Cutting Stock Problem---Part II," Operations Research, INFORMS, vol. 11(6), pages 863-888, December.
    9. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
    10. Pisinger, David, 1995. "An expanding-core algorithm for the exact 0-1 knapsack problem," European Journal of Operational Research, Elsevier, vol. 87(1), pages 175-187, November.
    11. George B. Dantzig, 1957. "Discrete-Variable Extremum Problems," Operations Research, INFORMS, vol. 5(2), pages 266-288, April.
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    13. Matteo Fischetti & Paolo Toth, 1997. "A Polyhedral Approach to the Asymmetric Traveling Salesman Problem," Management Science, INFORMS, vol. 43(11), pages 1520-1536, November.
    14. Silvano Martello & David Pisinger & Paolo Toth, 1999. "Dynamic Programming and Strong Bounds for the 0-1 Knapsack Problem," Management Science, INFORMS, vol. 45(3), pages 414-424, March.
    15. Martello, Silvano & Pisinger, David & Toth, Paolo, 2000. "New trends in exact algorithms for the 0-1 knapsack problem," European Journal of Operational Research, Elsevier, vol. 123(2), pages 325-332, June.
    16. Robert M. Nauss, 1976. "An Efficient Algorithm for the 0-1 Knapsack Problem," Management Science, INFORMS, vol. 23(1), pages 27-31, September.
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    Cited by:

    1. Lorenzo Ros-McDonnell & M. de-la-Fuente-Aragon & Marija Bogataj, 2012. "An approximate algorithm for optimal logistics of heavy and variable size items," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(1), pages 1-17, March.
    2. Sonia & Puri, M.C., 2008. "Two-stage time minimizing assignment problem," Omega, Elsevier, vol. 36(5), pages 730-740, October.
    3. Marcel Turkensteen & Dmitry Malyshev & Boris Goldengorin & Panos M. Pardalos, 2017. "The reduction of computation times of upper and lower tolerances for selected combinatorial optimization problems," Journal of Global Optimization, Springer, vol. 68(3), pages 601-622, July.
    4. Huang, Ping H. & Lawley, Mark & Morin, Thomas, 2011. "Tight bounds for periodicity theorems on the unbounded Knapsack problem," European Journal of Operational Research, Elsevier, vol. 215(2), pages 319-324, December.

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