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Single item lot sizing problems

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  • Brahimi, Nadjib
  • Dauzere-Peres, Stephane
  • Najid, Najib M.
  • Nordli, Atle
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 168 (2006)
    Issue (Month): 1 (January)
    Pages: 1-16

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    Handle: RePEc:eee:ejores:v:168:y:2006:i:1:p:1-16

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    References

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    3. Katok, Elena & Holly S. Lewis & Terry P. Harrison, 1995. "Lot Sizing in General Assembly Systems with Setup Costs, Setup Times and Multiple Constrained Resources," Discussion Paper Serie B 346, University of Bonn, Germany.
    4. Mohan Gopalakrishnan & Ke Ding & Jean-Marie Bourjolly & Srimathy Mohan, 2001. "A Tabu-Search Heuristic for the Capacitated Lot-Sizing Problem with Set-up Carryover," Management Science, INFORMS, vol. 47(6), pages 851-863, June.
    5. Dauzere-Peres, Stephane & Lasserre, Jean-Bernard, 1994. "Integration of lotsizing and scheduling decisions in a job-shop," European Journal of Operational Research, Elsevier, vol. 75(2), pages 413-426, June.
    6. 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.
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    11. Dellaert, N. & Jeunet, J. & Jonard, N., 2000. "A genetic algorithm to solve the general multi-level lot-sizing problem with time-varying costs," International Journal of Production Economics, Elsevier, vol. 68(3), pages 241-257, December.
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    18. Millar, Harvey H. & Yang, Minzhu, 1994. "Lagrangian heuristics for the capacitated multi-item lot-sizing problem with backordering," International Journal of Production Economics, Elsevier, vol. 34(1), pages 1-15, February.
    19. Edward Zabel, 1964. "Some Generalizations of an Inventory Planning Horizon Theorem," Management Science, INFORMS, vol. 10(3), pages 465-471, April.
    20. Peter J. Billington & John O. McClain & L. Joseph Thomas, 1986. "Heuristics for Multilevel Lot-Sizing with a Bottleneck," Management Science, INFORMS, vol. 32(8), pages 989-1006, August.
    21. Karimi, B. & Fatemi Ghomi, S. M. T. & Wilson, J. M., 2003. "The capacitated lot sizing problem: a review of models and algorithms," Omega, Elsevier, vol. 31(5), pages 365-378, October.
    22. Vernon Ning Hsu, 2000. "Dynamic Economic Lot Size Model with Perishable Inventory," Management Science, INFORMS, vol. 46(8), pages 1159-1169, August.
    23. Lozano, Sebastian & Larraneta, Juan & Onieva, Luis, 1991. "Primal-dual approach to the single level capacitated lot-sizing problem," European Journal of Operational Research, Elsevier, vol. 51(3), pages 354-366, April.
    24. Chung-Yee Lee & Sila Çetinkaya & Albert P. M. Wagelmans, 2001. "A Dynamic Lot-Sizing Model with Demand Time Windows," Management Science, INFORMS, vol. 47(10), pages 1384-1395, October.
    25. Moustapha Diaby & Harish C. Bahl & Mark H. Karwan & Stanley Zionts, 1992. "A Lagrangean Relaxation Approach for Very-Large-Scale Capacitated Lot-Sizing," Management Science, INFORMS, vol. 38(9), pages 1329-1340, September.
    26. Drexl, A. & Kimms, A., 1997. "Lot sizing and scheduling -- Survey and extensions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 221-235, June.
    27. J. B. Lasserre, 1992. "An Integrated Model for Job-Shop Planning and Scheduling," Management Science, INFORMS, vol. 38(8), pages 1201-1211, August.
    28. Wen-Lian Hsu, 1983. "On the General Feasibility Test of Scheduling Lot Sizes for Several Products on One Machine," Management Science, INFORMS, vol. 29(1), pages 93-105, January.
    29. S. Rajagopalan, 1992. "Deterministic Capacity Expansion Under Deterioration," Management Science, INFORMS, vol. 38(4), pages 525-539, April.
    30. Bhatnagar, Rohit & Chandra, Pankaj & Goyal, Suresh K., 1993. "Models for multi-plant coordination," European Journal of Operational Research, Elsevier, vol. 67(2), pages 141-160, June.
    31. Chung, Chia-Shin & Flynn, James & Lin, Chien-Hua Mike, 1994. "An effective algorithm for the capacitated single item lot size problem," European Journal of Operational Research, Elsevier, vol. 75(2), pages 427-440, June.
    32. 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.
    33. Richter, Knut & Sombrutzki, Mirko, 2000. "Remanufacturing planning for the reverse Wagner/Whitin models," European Journal of Operational Research, Elsevier, vol. 121(2), pages 304-315, March.
    34. Horst Tempelmeier & Matthias Derstroff, 1996. "A Lagrangean-Based Heuristic for Dynamic Multilevel Multiitem Constrained Lotsizing with Setup Times," Management Science, INFORMS, vol. 42(5), pages 738-757, May.
    35. 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.
    36. Narro Lopez, Miguel A. & Kingsman, Brian G., 1991. "The economic lot scheduling problem: theory and practice," International Journal of Production Economics, Elsevier, vol. 23(1-3), pages 147-164, October.
    37. Yves Pochet & Laurence A. Wolsey, 1991. "Solving Multi-Item Lot-Sizing Problems Using Strong Cutting Planes," Management Science, INFORMS, vol. 37(1), pages 53-67, January.
    38. Salah E. Elmaghraby, 1978. "The Economic Lot Scheduling Problem (ELSP): Review and Extensions," Management Science, INFORMS, vol. 24(6), pages 587-598, February.
    39. Jack Rogers, 1958. "A Computational Approach to the Economic Lot Scheduling Problem," Management Science, INFORMS, vol. 4(3), pages 264-291, April.
    40. Gaetan Belvaux & Laurence A. Wolsey, 2001. "Modelling Practical Lot-Sizing Problems as Mixed-Integer Programs," Management Science, INFORMS, vol. 47(7), pages 993-1007, July.
    41. Wolsey, Laurence A., 1995. "Progress with single-item lot-sizing," European Journal of Operational Research, Elsevier, vol. 86(3), pages 395-401, November.
    42. Awi Federgruen & Michal Tzur, 1991. "A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Models with n Periods in 0(n log n) or 0(n) Time," Management Science, INFORMS, vol. 37(8), pages 909-925, August.
    43. Ozdamar, Linet & Barbarosoglu, Gulay, 2000. "An integrated Lagrangean relaxation-simulated annealing approach to the multi-level multi-item capacitated lot sizing problem," International Journal of Production Economics, Elsevier, vol. 68(3), pages 319-331, December.
    44. William W. Trigeiro & L. Joseph Thomas & John O. McClain, 1989. "Capacitated Lot Sizing with Setup Times," Management Science, INFORMS, vol. 35(3), pages 353-366, March.
    45. François Vanderbeck, 1998. "Lot-Sizing with Start-Up Times," Management Science, INFORMS, vol. 44(10), pages 1409-1425, October.
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    Cited by:
    1. Camargo, Victor C.B. & Toledo, Franklina M.B. & Almada-Lobo, Bernardo, 2014. "HOPS – Hamming-Oriented Partition Search for production planning in the spinning industry," European Journal of Operational Research, Elsevier, vol. 234(1), pages 266-277.
    2. Wolter, Anja & Helber, Stefan, 2013. "Simultaneous Production and Maintenance Planning for a Single Capacitated Resource facing both a Dynamic Demand and Intensive Wear and Tear," Diskussionspapiere der Wirtschaftswissenschaftlichen Fakultät der Leibniz Universität Hannover dp-522, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    3. Azaron, Amir & Tang, Ou & Tavakkoli-Moghaddam, Reza, 2009. "Dynamic lot sizing problem with continuous-time Markovian production cost," International Journal of Production Economics, Elsevier, vol. 120(2), pages 607-612, August.
    4. LAMAS, ALEJANDRO & CHEVALIER, Philippe, 2013. "Jumping the hurdles for collaboration: fairness in operations pooling in the absence of transfer payments," CORE Discussion Papers 2013073, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Hellion, Bertrand & Mangione, Fabien & Penz, Bernard, 2012. "A polynomial time algorithm to solve the single-item capacitated lot sizing problem with minimum order quantities and concave costs," European Journal of Operational Research, Elsevier, vol. 222(1), pages 10-16.
    6. Toy, Ayhan Özgür & Berk, Emre, 2013. "Dynamic lot sizing for a warm/cold process: Heuristics and insights," International Journal of Production Economics, Elsevier, vol. 145(1), pages 53-66.
    7. Akbalik, Ayse & Penz, Bernard, 2009. "Exact methods for single-item capacitated lot sizing problem with alternative machines and piece-wise linear production costs," International Journal of Production Economics, Elsevier, vol. 119(2), pages 367-379, June.
    8. Teunter, R.H. & Bayindir, Z.P. & van den Heuvel, W., 2005. "Dynamic lot sizing with product returns," Econometric Institute Research Papers EI 2005-17, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    9. Süral, Haldun & Denizel, Meltem & Van Wassenhove, Luk N., 2009. "Lagrangean relaxation based heuristics for lot sizing with setup times," European Journal of Operational Research, Elsevier, vol. 194(1), pages 51-63, April.
    10. Helber, Stefan & Sahling, Florian, 2010. "A fix-and-optimize approach for the multi-level capacitated lot sizing problem," International Journal of Production Economics, Elsevier, vol. 123(2), pages 247-256, February.
    11. Tempelmeier, Horst & Herpers, Sascha, 2011. "Dynamic uncapacitated lot sizing with random demand under a fillrate constraint," European Journal of Operational Research, Elsevier, vol. 212(3), pages 497-507, August.
    12. Tempelmeier, Horst & Buschkühl, Lisbeth, 2008. "Dynamic multi-machine lotsizing and sequencing with simultaneous scheduling of a common setup resource," International Journal of Production Economics, Elsevier, vol. 113(1), pages 401-412, May.
    13. Okhrin, Irena & Richter, Knut, 2011. "The linear dynamic lot size problem with minimum order quantity," International Journal of Production Economics, Elsevier, vol. 133(2), pages 688-693, October.
    14. Zhang, Zhi-Hai & Jiang, Hai & Pan, Xunzhang, 2012. "A Lagrangian relaxation based approach for the capacitated lot sizing problem in closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 140(1), pages 249-255.
    15. Sahling, Florian & Buschkühl, Lisbeth & Tempelmeier, Horst & Helber, Stefan, 2008. "Solving a Multi-Level Capacitated Lot Sizing Problem with Multi-Period Setup Carry-Over via a Fix-and-Optimize Heuristic," Diskussionspapiere der Wirtschaftswissenschaftlichen Fakultät der Leibniz Universität Hannover dp-400, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.

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