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Heuristic analysis, linear programming and branch and bound

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  • WOLSEY, Laurence A.

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Suggested Citation

  • WOLSEY, Laurence A., 1980. "Heuristic analysis, linear programming and branch and bound," LIDAM Reprints CORE 407, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:407
    DOI: 10.1007/BFb0120913
    Note: In : Mathematical Programming Study, 13, 121-134, 1980
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    Cited by:

    1. Valenzuela, Christine L. & Jones, Antonia J., 1997. "Estimating the Held-Karp lower bound for the geometric TSP," European Journal of Operational Research, Elsevier, vol. 102(1), pages 157-175, October.
    2. de Klerk, E. & Pasechnik, D.V. & Sotirov, R., 2007. "On Semidefinite Programming Relaxations of the Travelling Salesman Problem (Replaced by DP 2008-96)," Discussion Paper 2007-101, Tilburg University, Center for Economic Research.
    3. Moses Charikar & Michel X. Goemans & Howard Karloff, 2006. "On the Integrality Ratio for the Asymmetric Traveling Salesman Problem," Mathematics of Operations Research, INFORMS, vol. 31(2), pages 245-252, May.
    4. Rathinam, Sivakumar & Sengupta, Raja, 2007. "3/2-Approximation Algorithm for a Generalized, Multiple Depot, Hamiltonina Path Problem," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt06p2815q, Institute of Transportation Studies, UC Berkeley.
    5. Huili Zhang & Yinfeng Xu, 2018. "Online covering salesman problem," Journal of Combinatorial Optimization, Springer, vol. 35(3), pages 941-954, April.
    6. Arnaud Fréville & SaÏd Hanafi, 2005. "The Multidimensional 0-1 Knapsack Problem—Bounds and Computational Aspects," Annals of Operations Research, Springer, vol. 139(1), pages 195-227, October.
    7. Deeparnab Chakrabarty & Chaitanya Swamy, 2016. "Facility Location with Client Latencies: LP-Based Techniques for Minimum-Latency Problems," Mathematics of Operations Research, INFORMS, vol. 41(3), pages 865-883, August.
    8. de Klerk, E. & Pasechnik, D.V. & Sotirov, R., 2008. "On Semidefinite Programming Relaxations of the Traveling Salesman Problem (revision of DP 2007-101)," Discussion Paper 2008-96, Tilburg University, Center for Economic Research.
    9. Frans Schalekamp & David P. Williamson & Anke van Zuylen, 2014. "2-Matchings, the Traveling Salesman Problem, and the Subtour LP: A Proof of the Boyd-Carr Conjecture," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 403-417, May.
    10. Santosh Kumar & Elias Munapo & ‘Maseka Lesaoana & Philimon Nyamugure, 2018. "A minimum spanning tree based heuristic for the travelling salesman tour," OPSEARCH, Springer;Operational Research Society of India, vol. 55(1), pages 150-164, March.
    11. Geneviève Benoit & Sylvia Boyd, 2008. "Finding the Exact Integrality Gap for Small Traveling Salesman Problems," Mathematics of Operations Research, INFORMS, vol. 33(4), pages 921-931, November.
    12. Mnich, Matthias & Mömke, Tobias, 2018. "Improved integrality gap upper bounds for traveling salesperson problems with distances one and two," European Journal of Operational Research, Elsevier, vol. 266(2), pages 436-457.
    13. Freville, Arnaud, 2004. "The multidimensional 0-1 knapsack problem: An overview," European Journal of Operational Research, Elsevier, vol. 155(1), pages 1-21, May.
    14. Alejandro Toriello & Nelson A. Uhan, 2013. "Technical Note---On Traveling Salesman Games with Asymmetric Costs," Operations Research, INFORMS, vol. 61(6), pages 1429-1434, December.
    15. Sivakumar, Rathinam & Sengupta, Raja, 2007. "5/3-Approximation Algorithm for a Multiple Depot, Terminal Hamiltonian Path Problem," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3dw086dn, Institute of Transportation Studies, UC Berkeley.
    16. Gábor Braun & Samuel Fiorini & Sebastian Pokutta & David Steurer, 2015. "Approximation Limits of Linear Programs (Beyond Hierarchies)," Mathematics of Operations Research, INFORMS, vol. 40(3), pages 756-772, March.

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