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Fully polynomial approximation schemes for single-item capacitated economic lot-sizing problems

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  • van Hoesel, C.P.M.

    (Quantitative Economics)

  • Wagelmans, A.

    (Externe publicaties SBE)

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  • van Hoesel, C.P.M. & Wagelmans, A., 1997. "Fully polynomial approximation schemes for single-item capacitated economic lot-sizing problems," Research Memorandum 029, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Handle: RePEc:unm:umamet:1997029
    DOI: 10.26481/umamet.1997029
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    References listed on IDEAS

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    1. Shaw, D.X. & Wagelmans, A.P.M., 1995. "An Algorithm for Single-item Capacitated Economic Lot Sizing with Piecewise Linear Production Costs and General Holding Costs," Econometric Institute Research Papers EI 9526-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    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. Lambrecht, Marc & Vander Eecken, Jacques, 1978. "A capacity constrained single-facility dynamic lot-size model," European Journal of Operational Research, Elsevier, vol. 2(2), pages 132-136, March.
    4. Uday S. Karmarkar & Sham Kekre & Sunder Kekre, 1987. "The Dynamic Lot-Sizing Problem with Startup and Reservation Costs," Operations Research, INFORMS, vol. 35(3), pages 389-398, June.
    5. Yves Pochet & Laurence A. Wolsey, 1993. "Lot-Sizing with Constant Batches: Formulation and Valid Inequalities," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 767-785, November.
    6. Gabriel R. Bitran & Hirofumi Matsuo, 1986. "Approximation Formulations for the Single-Product Capacitated Lot Size Problem," Operations Research, INFORMS, vol. 34(1), pages 63-74, February.
    7. Chia-Shin Chung & Chien-Hua Mike Lin, 1988. "An O(T 2 ) Algorithm for the NI/G/NI/ND Capacitated Lot Size Problem," Management Science, INFORMS, vol. 34(3), pages 420-426, March.
    8. Michael Florian & Morton Klein, 1971. "Deterministic Production Planning with Concave Costs and Capacity Constraints," Management Science, INFORMS, vol. 18(1), pages 12-20, 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. Bezalel Gavish & Robert E. Johnson, 1990. "A Fully Polynomial Approximation Scheme for Single-Product Scheduling in a Finite Capacity Facility," Operations Research, INFORMS, vol. 38(1), pages 70-83, February.
    12. Marc Salomon & Leo G. Kroon & Roelof Kuik & Luk N. Van Wassenhove, 1991. "Some Extensions of the Discrete Lotsizing and Scheduling Problem," Management Science, INFORMS, vol. 37(7), pages 801-812, July.
    13. POCHET, Yves & WOLSEY, Laurence A., 1993. "Lot-sizing with constant batches: formulation and valid inequalities," LIDAM Reprints CORE 1066, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Cary Swoveland, 1975. "A Deterministic Multi-Period Production Planning Model with Piecewise Concave Production and Holding-Backorder Costs," Management Science, INFORMS, vol. 21(9), pages 1007-1013, May.
    15. Pochet, Y. & Wolsey, L. A., 1995. "Algorithms and reformulations for lot sizing problems," LIDAM Reprints CORE 1160, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. Rosling, Kaj, 1993. "A capacitated single-item lot-size model," International Journal of Production Economics, Elsevier, vol. 30(1), pages 213-219, July.
    17. 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. Chung-Yee Lee & Sila Çetinkaya & Albert P.M. Wagelmans, 1999. "A Dynamic Lot-Sizing Model with Demand Time Windows," Tinbergen Institute Discussion Papers 99-095/4, Tinbergen Institute.
    2. Lee, C.Y. & Cetinkaya, S. & Wagelmans, A.P.M., 1999. "A dynamic lot-sizing model with demand time windows," Econometric Institute Research Papers EI 9948-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Gerhard J. Woeginger, 2000. "When Does a Dynamic Programming Formulation Guarantee the Existence of a Fully Polynomial Time Approximation Scheme (FPTAS)?," INFORMS Journal on Computing, INFORMS, vol. 12(1), pages 57-74, February.

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