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Solving the biobjective zero-one knapsack problem by an efficient LP-based heuristic

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  • Zhang, Cai Wen
  • Ong, Hoon Liong

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  • Zhang, Cai Wen & Ong, Hoon Liong, 2004. "Solving the biobjective zero-one knapsack problem by an efficient LP-based heuristic," European Journal of Operational Research, Elsevier, vol. 159(3), pages 545-557, December.
    • Handle: RePEc:eee:ejores:v:159:y:2004:i:3:p:545-557
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    1. Odile Marcotte & Richard M. Soland, 1986. "An Interactive Branch-and-Bound Algorithm for Multiple Criteria Optimization," Management Science, INFORMS, vol. 32(1), pages 61-75, January.
    2. Gülseren Kiziltan & Erkut Yucaou{g}lu, 1983. "An Algorithm for Multiobjective Zero-One Linear Programming," Management Science, INFORMS, vol. 29(12), pages 1444-1453, December.
    3. Deckro, R. F. & Winkofsky, E. P., 1983. "Solving zero-one multiple objective programs through implicit enumeration," European Journal of Operational Research, Elsevier, vol. 12(4), pages 362-374, April.
    4. George B. Dantzig, 1957. "Discrete-Variable Extremum Problems," Operations Research, INFORMS, vol. 5(2), pages 266-288, April.
    5. Rasmussen, L. M., 1986. "Zero--one programming with multiple criteria," European Journal of Operational Research, Elsevier, vol. 26(1), pages 83-95, July.
    6. Ramesh, R. & Zionts, Stanley & Karwan, Mark H., 1986. "A class of practical interactive branch and bound algorithms for multicriteria integer programming," European Journal of Operational Research, Elsevier, vol. 26(1), pages 161-172, July.
    7. Viana, Ana & Pinho de Sousa, Jorge, 2000. "Using metaheuristics in multiobjective resource constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 120(2), pages 359-374, January.
    8. Alves, Maria Joao & Climaco, Joao, 2000. "An interactive reference point approach for multiobjective mixed-integer programming using branch-and-bound," European Journal of Operational Research, Elsevier, vol. 124(3), pages 478-494, August.
    9. Hapke, Maciej & Jaszkiewicz, Andrzej & Slowinski, Roman, 1998. "Interactive analysis of multiple-criteria project scheduling problems," European Journal of Operational Research, Elsevier, vol. 107(2), pages 315-324, June.
    10. Klein, Dieter & Hannan, Edward, 1982. "An algorithm for the multiple objective integer linear programming problem," European Journal of Operational Research, Elsevier, vol. 9(4), pages 378-385, April.
    11. Gerald W. Evans, 1984. "An Overview of Techniques for Solving Multiobjective Mathematical Programs," Management Science, INFORMS, vol. 30(11), pages 1268-1282, November.
    12. White, D. J., 1985. "A multiple objective interactive Lagrangean relaxation approach," European Journal of Operational Research, Elsevier, vol. 19(1), pages 82-90, January.
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    Cited by:

    1. Rong, Aiying & Figueira, José Rui, 2013. "A reduction dynamic programming algorithm for the bi-objective integer knapsack problem," European Journal of Operational Research, Elsevier, vol. 231(2), pages 299-313.
    2. Rong, Aiying & Figueira, José Rui, 2014. "Dynamic programming algorithms for the bi-objective integer knapsack problem," European Journal of Operational Research, Elsevier, vol. 236(1), pages 85-99.
    3. Bas, Esra, 2011. "An investment plan for preventing child injuries using risk priority number of failure mode and effects analysis methodology and a multi-objective, multi-dimensional mixed 0-1 knapsack model," Reliability Engineering and System Safety, Elsevier, vol. 96(7), pages 748-756.
    4. Florios, Kostas & Mavrotas, George & Diakoulaki, Danae, 2010. "Solving multiobjective, multiconstraint knapsack problems using mathematical programming and evolutionary algorithms," European Journal of Operational Research, Elsevier, vol. 203(1), pages 14-21, May.

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