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Fast approximation schemes for multi-criteria combinatorial optimization

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  • Safer, Hershel M.
  • Orlin, James B., 1953-

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  • Safer, Hershel M. & Orlin, James B., 1953-, 1995. "Fast approximation schemes for multi-criteria combinatorial optimization," Working papers 3756-95., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    • Handle: RePEc:mit:sloanp:2544
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    File URL: http://hdl.handle.net/1721.1/2544
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    1. Michael J. Magazine & Maw-Sheng Chern, 1984. "A Note on Approximation Schemes for Multidimensional Knapsack Problems," Mathematics of Operations Research, INFORMS, vol. 9(2), pages 244-247, May.
    2. 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.
    3. Nimrod Megiddo, 1979. "Combinatorial Optimization with Rational Objective Functions," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 414-424, November.
    4. Y. P. Aneja & K. P. K. Nair, 1979. "Bicriteria Transportation Problem," Management Science, INFORMS, vol. 25(1), pages 73-78, January.
    5. Martins, Ernesto Queiros Vieira, 1984. "On a special class of bicriterion path problems," European Journal of Operational Research, Elsevier, vol. 17(1), pages 85-94, July.
    6. Mordechai I. Henig, 1985. "The Principle of Optimality in Dynamic Programming with Returns in Partially Ordered Sets," Mathematics of Operations Research, INFORMS, vol. 10(3), pages 462-470, August.
    7. Marshall L. Fisher, 1980. "Worst-Case Analysis of Heuristic Algorithms," Management Science, INFORMS, vol. 26(1), pages 1-17, January.
    8. Arthur M. Geoffrion, 1967. "Solving Bicriterion Mathematical Programs," Operations Research, INFORMS, vol. 15(1), pages 39-54, February.
    9. Oscar H. Ibarra & Chul E. Kim, 1978. "Approximation Algorithms for Certain Scheduling Problems," Mathematics of Operations Research, INFORMS, vol. 3(3), pages 197-204, August.
    10. Arthur Warburton, 1987. "Approximation of Pareto Optima in Multiple-Objective, Shortest-Path Problems," Operations Research, INFORMS, vol. 35(1), pages 70-79, February.
    11. Eitan Zemel, 1981. "Measuring the Quality of Approximate Solutions to Zero-One Programming Problems," Mathematics of Operations Research, INFORMS, vol. 6(3), pages 319-332, August.
    12. Roy, Bernard & Vincke, Philippe, 1981. "Multicriteria analysis: survey and new directions," European Journal of Operational Research, Elsevier, vol. 8(3), pages 207-218, November.
    13. Sartaj Sahni, 1977. "General Techniques for Combinatorial Approximation," Operations Research, INFORMS, vol. 25(6), pages 920-936, December.
    14. Richard Loulou & Eleftherios Michaelides, 1979. "New Greedy-Like Heuristics for the Multidimensional 0-1 Knapsack Problem," Operations Research, INFORMS, vol. 27(6), pages 1101-1114, December.
    15. Thomas L. Morin & Roy E. Marsten, 1976. "An Algorithm for Nonlinear Knapsack Problems," Management Science, INFORMS, vol. 22(10), pages 1147-1158, June.
    16. Martins, Ernesto Queiros Vieira, 1984. "On a multicriteria shortest path problem," European Journal of Operational Research, Elsevier, vol. 16(2), pages 236-245, May.
    17. Eugene L. Lawler, 1979. "Fast Approximation Algorithms for Knapsack Problems," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 339-356, November.
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    Cited by:

    1. Arne Herzel & Stefan Ruzika & Clemens Thielen, 2021. "Approximation Methods for Multiobjective Optimization Problems: A Survey," INFORMS Journal on Computing, INFORMS, vol. 33(4), pages 1284-1299, October.
    2. Bazgan, Cristina & Hugot, Hadrien & Vanderpooten, Daniel, 2009. "Implementing an efficient fptas for the 0-1 multi-objective knapsack problem," European Journal of Operational Research, Elsevier, vol. 198(1), pages 47-56, October.
    3. Aissi, Hassene & Bazgan, Cristina & Vanderpooten, Daniel, 2007. "Approximation of min-max and min-max regret versions of some combinatorial optimization problems," European Journal of Operational Research, Elsevier, vol. 179(2), pages 281-290, June.
    4. Lakmali Weerasena, 2022. "Advancing local search approximations for multiobjective combinatorial optimization problems," Journal of Combinatorial Optimization, Springer, vol. 43(3), pages 589-612, April.
    5. Cristina Bazgan & Arne Herzel & Stefan Ruzika & Clemens Thielen & Daniel Vanderpooten, 2024. "Approximating multiobjective optimization problems: How exact can you be?," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 100(1), pages 5-25, August.
    6. Nir Halman & Mikhail Y. Kovalyov & Alain Quilliot & Dvir Shabtay & Moshe Zofi, 2019. "Bi-criteria path problem with minimum length and maximum survival probability," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(2), pages 469-489, June.
    7. Laumanns, Marco & Zenklusen, Rico, 2011. "Stochastic convergence of random search methods to fixed size Pareto front approximations," European Journal of Operational Research, Elsevier, vol. 213(2), pages 414-421, September.

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    HD28 .M414 no.3756-95;

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