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Stronger K-tree relaxations for the vehicle routing problem

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  • Martinhon, Carlos
  • Lucena, Abilio
  • Maculan, Nelson

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  • Martinhon, Carlos & Lucena, Abilio & Maculan, Nelson, 2004. "Stronger K-tree relaxations for the vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 158(1), pages 56-71, October.
  • Handle: RePEc:eee:ejores:v:158:y:2004:i:1:p:56-71
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    References listed on IDEAS

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    1. Marshall L. Fisher, 1994. "Optimal Solution of Vehicle Routing Problems Using Minimum K-Trees," Operations Research, INFORMS, vol. 42(4), pages 626-642, August.
    2. G. B. Dantzig & J. H. Ramser, 1959. "The Truck Dispatching Problem," Management Science, INFORMS, vol. 6(1), pages 80-91, October.
    3. Hunting, Marcel & Faigle, Ulrich & Kern, Walter, 2001. "A Lagrangian relaxation approach to the edge-weighted clique problem," European Journal of Operational Research, Elsevier, vol. 131(1), pages 119-131, May.
    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. Patrick Krolak & Wayne Felts & James Nelson, 1972. "A Man-Machine Approach Toward Solving the Generalized Truck-Dispatching Problem," Transportation Science, INFORMS, vol. 6(2), pages 149-170, May.
    6. Marshall L. Fisher, 1994. "A Polynomial Algorithm for the Degree-Constrained Minimum K-Tree Problem," Operations Research, INFORMS, vol. 42(4), pages 775-779, August.
    7. G. Clarke & J. W. Wright, 1964. "Scheduling of Vehicles from a Central Depot to a Number of Delivery Points," Operations Research, INFORMS, vol. 12(4), pages 568-581, August.
    8. Donald L. Miller, 1995. "A Matching Based Exact Algorithm for Capacitated Vehicle Routing Problems," INFORMS Journal on Computing, INFORMS, vol. 7(1), pages 1-9, February.
    9. Michael Held & Richard M. Karp, 1970. "The Traveling-Salesman Problem and Minimum Spanning Trees," Operations Research, INFORMS, vol. 18(6), pages 1138-1162, December.
    10. G. Dantzig & R. Fulkerson & S. Johnson, 1954. "Solution of a Large-Scale Traveling-Salesman Problem," Operations Research, INFORMS, vol. 2(4), pages 393-410, November.
    11. Augerat, P. & Belenguer, J. M. & Benavent, E. & Corberan, A. & Naddef, D., 1998. "Separating capacity constraints in the CVRP using tabu search," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 546-557, April.
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    Cited by:

    1. Iman, Niroomand & Khataie, Amir & Foomani, Matin, 2016. "Application of Vehicle Routing Optimization in Improving the Flow of Mail to a Processing Plant," 57th Transportation Research Forum (51st CTRF) Joint Conference, Toronto, Ontario, May 1-4, 2016 319313, Transportation Research Forum.
    2. Abilio Lucena, 2005. "Non Delayed Relax-and-Cut Algorithms," Annals of Operations Research, Springer, vol. 140(1), pages 375-410, November.

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