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Fast approximation schemes for multi-criteria flow, knapsack, and scheduling problems

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

Abstract

Includes bibliographical references (p. 40-42).

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  • Safer, Hershel M. & Orlin, James B., 1953-, 1995. "Fast approximation schemes for multi-criteria flow, knapsack, and scheduling problems," Working papers 3757-95., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    • Handle: RePEc:mit:sloanp:2545
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    File URL: http://hdl.handle.net/1721.1/2545
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    References listed on IDEAS

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    1. D. S. Johnson & K. A. Niemi, 1983. "On Knapsacks, Partitions, and a New Dynamic Programming Technique for Trees," Mathematics of Operations Research, INFORMS, vol. 8(1), pages 1-14, February.
    2. Arthur F. Veinott, Jr., 1964. "Production Planning with Convex Costs: A Parametric Study," Management Science, INFORMS, vol. 10(3), pages 441-460, April.
    3. E. L. Lawler & J. M. Moore, 1969. "A Functional Equation and its Application to Resource Allocation and Sequencing Problems," Management Science, INFORMS, vol. 16(1), pages 77-84, September.
    4. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    5. Gabriel R. Bitran & Horacio H. Yanasse, 1982. "Computational Complexity of the Capacitated Lot Size Problem," Management Science, INFORMS, vol. 28(10), pages 1174-1186, October.
    6. Lambert, Anne-Marie & Luss, Hanan, 1982. "Production planning with time-dependent capacity bounds," European Journal of Operational Research, Elsevier, vol. 9(3), pages 275-280, March.
    7. Michael Florian & Morton Klein, 1971. "Deterministic Production Planning with Concave Costs and Capacity Constraints," Management Science, INFORMS, vol. 18(1), pages 12-20, September.
    8. Willard I. Zangwill, 1966. "A Deterministic Multi-Period Production Scheduling Model with Backlogging," Management Science, INFORMS, vol. 13(1), pages 105-119, September.
    9. Stephen F. Love, 1973. "Bounded Production and Inventory Models with Piecewise Concave Costs," Management Science, INFORMS, vol. 20(3), pages 313-318, November.
    10. Kenneth R. Baker & Paul Dixon & Michael J. Magazine & Edward A. Silver, 1978. "An Algorithm for the Dynamic Lot-Size Problem with Time-Varying Production Capacity Constraints," Management Science, INFORMS, vol. 24(16), pages 1710-1720, December.
    11. 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.
    12. David M. Kreps, 1977. "Decision Problems with Expected Utility Critera, I: Upper and Lower Convergent Utility," Mathematics of Operations Research, INFORMS, vol. 2(1), pages 45-53, February.
    13. Sartaj Sahni, 1977. "General Techniques for Combinatorial Approximation," Operations Research, INFORMS, vol. 25(6), pages 920-936, December.
    14. Gabriel R. Bitran & Thomas L. Magnanti & Horacio H. Yanasse, 1984. "Approximation Methods for the Uncapacitated Dynamic Lot Size Problem," Management Science, INFORMS, vol. 30(9), pages 1121-1140, September.
    15. Eugene L. Lawler, 1979. "Fast Approximation Algorithms for Knapsack Problems," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 339-356, November.
    16. M. Florian & J. K. Lenstra & A. H. G. Rinnooy Kan, 1980. "Deterministic Production Planning: Algorithms and Complexity," Management Science, INFORMS, vol. 26(7), pages 669-679, July.
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    Cited by:

    1. 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.
    2. 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.
    3. Matthias Ehrgott & Xavier Gandibleux, 2004. "Approximative solution methods for multiobjective combinatorial optimization," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 12(1), pages 1-63, June.
    4. Nir Halman & Diego Klabjan & Mohamed Mostagir & Jim Orlin & David Simchi-Levi, 2009. "A Fully Polynomial-Time Approximation Scheme for Single-Item Stochastic Inventory Control with Discrete Demand," Mathematics of Operations Research, INFORMS, vol. 34(3), pages 674-685, August.
    5. 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.

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    HD28 .M414 no.3757-; 95;

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