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Multiple objective minimum cost flow problems: A review

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  • Hamacher, Horst W.
  • Pedersen, Christian Roed
  • Ruzika, Stefan

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  • Hamacher, Horst W. & Pedersen, Christian Roed & Ruzika, Stefan, 2007. "Multiple objective minimum cost flow problems: A review," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1404-1422, February.
    • Handle: RePEc:eee:ejores:v:176:y:2007:i:3:p:1404-1422
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    References listed on IDEAS

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    1. Current, John & Marsh, Michael, 1993. "Multiobjective transportation network design and routing problems: Taxonomy and annotation," European Journal of Operational Research, Elsevier, vol. 65(1), pages 4-19, February.
    2. D. Klingman & A. Napier & J. Stutz, 1974. "NETGEN: A Program for Generating Large Scale Capacitated Assignment, Transportation, and Minimum Cost Flow Network Problems," Management Science, INFORMS, vol. 20(5), pages 814-821, January.
    3. Fruhwirth, B. & Bukkard, R. E. & Rote, G., 1989. "Approximation of convex curves with application to the bicriterial minimum cost flow problem," European Journal of Operational Research, Elsevier, vol. 42(3), pages 326-338, October.
    4. Lee, Haijune & Simin Pulat, P., 1991. "Bicriteria network flow problems: Continuous case," European Journal of Operational Research, Elsevier, vol. 51(1), pages 119-126, March.
    5. Yang, X. Q. & Goh, C. J., 1997. "A method for convex curve approximation," European Journal of Operational Research, Elsevier, vol. 97(1), pages 205-212, February.
    6. Current, John & Min, HoKey, 1986. "Multiobjective design of transportation networks: Taxonomy and annotation," European Journal of Operational Research, Elsevier, vol. 26(2), pages 187-201, August.
    7. Lee, Haijune & Simin Pulat, P., 1993. "Bicriteria network flow problems: Integer case," European Journal of Operational Research, Elsevier, vol. 66(1), pages 148-157, April.
    8. Y. P. Aneja & K. P. K. Nair, 1979. "Bicriteria Transportation Problem," Management Science, INFORMS, vol. 25(1), pages 73-78, January.
    9. Arthur M. Geoffrion, 1967. "Solving Bicriterion Mathematical Programs," Operations Research, INFORMS, vol. 15(1), pages 39-54, February.
    10. Minghe Sun, 2003. "Procedures for Finding Nondominated Solutions for Multiple Objective Network Programming Problems," Transportation Science, INFORMS, vol. 37(2), pages 139-152, May.
    11. J Figueira & H M'Silti & P Tolla, 1998. "Using mathematical programming heuristics in a multicriteria network flow context," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 49(8), pages 878-885, August.
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    1. Mingue SUn, 2010. "A Branch-and-Bound Algorithm for Representative Integer Efficient Solutions in Multiple Objective Network Programming Problems," Working Papers 0007, College of Business, University of Texas at San Antonio.
    2. Mohammad Ali Raayatpanah & Salman Khodayifar & Thomas Weise & Panos Pardalos, 2022. "A novel approach to subgraph selection with multiple weights on arcs," Journal of Combinatorial Optimization, Springer, vol. 44(1), pages 242-268, August.
    3. Moradi, Siamak & Raith, Andrea & Ehrgott, Matthias, 2015. "A bi-objective column generation algorithm for the multi-commodity minimum cost flow problem," European Journal of Operational Research, Elsevier, vol. 244(2), pages 369-378.
    4. Eusébio, Augusto & Figueira, José Rui, 2009. "On the computation of all supported efficient solutions in multi-objective integer network flow problems," European Journal of Operational Research, Elsevier, vol. 199(1), pages 68-76, November.

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