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A dynamic programming approach for solving single-source uncapacitated concave minimum cost network flow problems

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  • Fontes, Dalila B.M.M.
  • Hadjiconstantinou, Eleni
  • Christofides, Nicos

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  • Fontes, Dalila B.M.M. & Hadjiconstantinou, Eleni & Christofides, Nicos, 2006. "A dynamic programming approach for solving single-source uncapacitated concave minimum cost network flow problems," European Journal of Operational Research, Elsevier, vol. 174(2), pages 1205-1219, October.
    • Handle: RePEc:eee:ejores:v:174:y:2006:i:2:p:1205-1219
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    References listed on IDEAS

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    1. Harvey M. Wagner, 1959. "On a Class of Capacitated Transportation Problems," Management Science, INFORMS, vol. 5(3), pages 304-318, April.
    2. Ranel E. Erickson & Clyde L. Monma & Arthur F. Veinott, 1987. "Send-and-Split Method for Minimum-Concave-Cost Network Flows," Mathematics of Operations Research, INFORMS, vol. 12(4), pages 634-664, November.
    3. Willard I. Zangwill, 1968. "Minimum Concave Cost Flows in Certain Networks," Management Science, INFORMS, vol. 14(7), pages 429-450, March.
    4. Hak-Jin Kim & John Hooker, 2002. "Solving Fixed-Charge Network Flow Problems with a Hybrid Optimization and Constraint Programming Approach," Annals of Operations Research, Springer, vol. 115(1), pages 95-124, September.
    5. ORTEGA , Francisco & WOLSEY, Laurence A., 2003. "A branch-and-cut algorithm for the single-commodity, uncapacitated, fixed-charge network flow problem," LIDAM Reprints CORE 1611, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Gallo, Giorgio & Sandi, Claudio & Sodini, Claudio, 1980. "An algorithm for the min concave cost flow problem," European Journal of Operational Research, Elsevier, vol. 4(4), pages 248-255, April.
    7. Richard M. Soland, 1974. "Optimal Facility Location with Concave Costs," Operations Research, INFORMS, vol. 22(2), pages 373-382, April.
    8. Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
    9. Jorjani, S & Lamar, BW, 1994. "Cash flow management network models with quantity discounting," Omega, Elsevier, vol. 22(2), pages 149-155, March.
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