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A branch and bound algorithm for the symmetric traveling salesman problem based on the 1-tree relaxation

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  • Volgenant, Ton
  • Jonker, Roy

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  • Volgenant, Ton & Jonker, Roy, 1982. "A branch and bound algorithm for the symmetric traveling salesman problem based on the 1-tree relaxation," European Journal of Operational Research, Elsevier, vol. 9(1), pages 83-89, January.
  • Handle: RePEc:eee:ejores:v:9:y:1982:i:1:p:83-89
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    Cited by:

    1. Lorena, Luiz Antonio N. & Goncalves Narciso, Marcelo, 2002. "Using logical surrogate information in Lagrangean relaxation: An application to symmetric traveling salesman problems," European Journal of Operational Research, Elsevier, vol. 138(3), pages 473-483, May.
    2. Gianpaolo Ghiani & Gilbert Laporte & Frédéric Semet, 2006. "The Black and White Traveling Salesman Problem," Operations Research, INFORMS, vol. 54(2), pages 366-378, April.
    3. Zamani, Reza & Lau, Sim Kim, 2010. "Embedding learning capability in Lagrangean relaxation: An application to the travelling salesman problem," European Journal of Operational Research, Elsevier, vol. 201(1), pages 82-88, February.
    4. Edwin R. van Dam & Gijs Rennen & Bart Husslage, 2009. "Bounds for Maximin Latin Hypercube Designs," Operations Research, INFORMS, vol. 57(3), pages 595-608, June.
    5. Krzysztof C. Kiwiel & Torbjörn Larsson & P. O. Lindberg, 1999. "The Efficiency of Ballstep Subgradient Level Methods for Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 24(1), pages 237-254, February.
    6. Öztürkoğlu, Ömer & Hoser, Deniz, 2019. "A discrete cross aisle design model for order-picking warehouses," European Journal of Operational Research, Elsevier, vol. 275(2), pages 411-430.
    7. Helsgaun, Keld, 2000. "An effective implementation of the Lin-Kernighan traveling salesman heuristic," European Journal of Operational Research, Elsevier, vol. 126(1), pages 106-130, October.
    8. Çavdar, Bahar & Sokol, Joel, 2015. "TSP Race: Minimizing completion time in time-sensitive applications," European Journal of Operational Research, Elsevier, vol. 244(1), pages 47-54.
    9. Tang, Lixin & Liu, Jiyin & Rong, Aiying & Yang, Zihou, 2000. "A multiple traveling salesman problem model for hot rolling scheduling in Shanghai Baoshan Iron & Steel Complex," European Journal of Operational Research, Elsevier, vol. 124(2), pages 267-282, July.
    10. van Dam, E.R. & Rennen, G. & Husslage, B.G.M., 2007. "Bounds for Maximin Latin Hypercube Designs," Other publications TiSEM da0c15be-f18e-474e-b557-f, Tilburg University, School of Economics and Management.
    11. Smith, D. H. & Hurley, S. & Thiel, S. U., 1998. "Improving heuristics for the frequency assignment problem," European Journal of Operational Research, Elsevier, vol. 107(1), pages 76-86, May.
    12. Muren, & Wu, Jianjun & Zhou, Li & Du, Zhiping & Lv, Ying, 2019. "Mixed steepest descent algorithm for the traveling salesman problem and application in air logistics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 87-102.
    13. Peter Reiter & Walter Gutjahr, 2012. "Exact hybrid algorithms for solving a bi-objective vehicle routing problem," 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 19-43, March.
    14. R. Dekker & M. B. M. de Koster & K. J. Roodbergen & H. van Kalleveen, 2004. "Improving Order-Picking Response Time at Ankor's Warehouse," Interfaces, INFORMS, vol. 34(4), pages 303-313, August.
    15. Lieshout, P.M.D. & Volgenant, A., 2007. "A branch-and-bound algorithm for the singly constrained assignment problem," European Journal of Operational Research, Elsevier, vol. 176(1), pages 151-164, January.
    16. 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.
    17. Tsubakitani, Shigeru & Evans, James R., 1998. "An empirical study of a new metaheuristic for the traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 104(1), pages 113-128, January.
    18. Rennen, G., 2009. "Efficient approximation of black-box functions and Pareto sets," Other publications TiSEM 83f4bb26-c7f0-4733-b08d-c, Tilburg University, School of Economics and Management.
    19. Jamal Ouenniche & Prasanna K. Ramaswamy & Michel Gendreau, 2017. "A dual local search framework for combinatorial optimization problems with TSP application," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(11), pages 1377-1398, November.

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