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Meta-heuristics for dynamic lot sizing: A review and comparison of solution approaches

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  • Jans, Raf
  • Degraeve, Zeger
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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 177 (2007)
    Issue (Month): 3 (March)
    Pages: 1855-1875

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    Handle: RePEc:eee:ejores:v:177:y:2007:i:3:p:1855-1875

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    1. Dellaert, N. P. & Jeunet, J., 2003. "Randomized multi-level lot-sizing heuristics for general product structures," European Journal of Operational Research, Elsevier, vol. 148(1), pages 211-228, July.
    2. MILLER, Andrew & NEMHAUSER, George & SAVELSBERGH, Martin, 2000. "Solving multi-item capacitated lot-sizing problems with setup times by branch-and-cut," CORE Discussion Papers 2000039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Dirk Cattrysse & Marc Salomon & Roelof Kuik & Luk N. Van Wassenhove, 1993. "A Dual Ascent and Column Generation Heuristic for the Discrete Lotsizing and Scheduling Problem with Setup Times," Management Science, INFORMS, vol. 39(4), pages 477-486, April.
    4. Wolfgang Bruggemann & Hermann Jahnke, 1997. "Remarks on: "Some Extensions of the Discrete Lotsizing and Scheduling Problem"," Management Science, INFORMS, vol. 43(1), pages 122-122, January.
    5. 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.
    6. Bruggemann, Wolfgang & Jahnke, Hermann, 2000. "The discrete lot-sizing and scheduling problem: Complexity and modification for batch availability," European Journal of Operational Research, Elsevier, vol. 124(3), pages 511-528, August.
    7. Meyr, H., 2000. "Simultaneous Lotsizing and Scheduling by combining Local Search with Dual Reoptimization," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 39380, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    8. Alan S. Manne, 1957. "Programming of Economic Lot Sizes," Cowles Foundation Discussion Papers 23, Cowles Foundation for Research in Economics, Yale University.
    9. Tempelmeier, Horst & Helber, Stefan, 1994. "A heuristic for dynamic multi-item multi-level capacitated lotsizing for general product structures," European Journal of Operational Research, Elsevier, vol. 75(2), pages 296-311, June.
    10. Cattrysse, Dirk & Maes, Johan & Van Wassenhove, Luk N., 1990. "Set partitioning and column generation heuristics for capacitated dynamic lotsizing," European Journal of Operational Research, Elsevier, vol. 46(1), pages 38-47, May.
    11. Stadtler, Hartmut, 1996. "Mixed integer programming model formulations for dynamic multi-item multi-level capacitated lotsizing," European Journal of Operational Research, Elsevier, vol. 94(3), pages 561-581, November.
    12. Steven A. Lippman, 1969. "Optimal Inventory Policy with Multiple Set-Up Costs," Management Science, INFORMS, vol. 16(1), pages 118-138, September.
    13. Scott Webster, 1999. "Remarks on: "Some Extensions of the Discrete Lotsizing and Scheduling Problem"," Management Science, INFORMS, vol. 45(5), pages 768-769, May.
    14. 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.
    15. Gaafar, Lotfi K. & Choueiki, M. Hisham, 2000. "A neural network model for solving the lot-sizing problem," Omega, Elsevier, vol. 28(2), pages 175-184, April.
    16. 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.
    17. VAN VYVE, Mathieu & ORTEGA, Francisco, 2003. "Lot-sizing with fixed charges on stocks: the convex hull," CORE Discussion Papers 2003014, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. Kirca, Omer & Kokten, Melih, 1994. "A new heuristic approach for the multi-item dynamic lot sizing problem," European Journal of Operational Research, Elsevier, vol. 75(2), pages 332-341, June.
    19. Bernard P. Dzielinski & Ralph E. Gomory, 1965. "Optimal Programming of Lot Sizes, Inventory and Labor Allocations," Management Science, INFORMS, vol. 11(9), pages 874-890, July.
    20. Dong X. Shaw & Albert P. M. Wagelmans, 1998. "An Algorithm for Single-Item Capacitated Economic Lot Sizing with Piecewise Linear Production Costs and General Holding Costs," Management Science, INFORMS, vol. 44(6), pages 831-838, June.
    21. van Hoesel, Stan & Kolen, Antoon, 1994. "A linear description of the discrete lot-sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 75(2), pages 342-353, June.
    22. de Matta, Renato & Guignard, Monique, 1994. "Studying the effects of production loss due to setup in dynamic production scheduling," European Journal of Operational Research, Elsevier, vol. 72(1), pages 62-73, January.
    23. 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.
    24. 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.
    25. Andrew J. Clark & Herbert Scarf, 1960. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 6(4), pages 475-490, July.
    26. 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.
    27. 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.
    28. Marshall L. Fisher, 1981. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 27(1), pages 1-18, January.
    29. Kirca, Omer, 1990. "An efficient algorithm for the capacitated single item dynamic lot size problem," European Journal of Operational Research, Elsevier, vol. 45(1), pages 15-24, March.
    30. Imre Barany & Tony J. Van Roy & Laurence A. Wolsey, 1984. "Strong Formulations for Multi-Item Capacitated Lot Sizing," Management Science, INFORMS, vol. 30(10), pages 1255-1261, October.
    31. Aarts, E. H. L. & Reijnhoudt, M. F. & Stehouwer, H. P. & Wessels, J., 2000. "A novel decomposition approach for on-line lot-sizing," European Journal of Operational Research, Elsevier, vol. 122(2), pages 339-353, April.
    32. Panayotis Afentakis & Bezalel Gavish & Uday Karmarkar, 1984. "Computationally Efficient Optimal Solutions to the Lot-Sizing Problem in Multistage Assembly Systems," Management Science, INFORMS, vol. 30(2), pages 222-239, February.
    33. Wolsey, Laurence A., 1995. "Progress with single-item lot-sizing," European Journal of Operational Research, Elsevier, vol. 86(3), pages 395-401, November.
    34. Maes, Johan & McClain, John O. & Van Wassenhove, Luk N., 1991. "Multilevel capacitated lotsizing complexity and LP-based heuristics," European Journal of Operational Research, Elsevier, vol. 53(2), pages 131-148, July.
    35. van Hoesel, Stan & Wagelmans, Albert & Moerman, Bram, 1994. "Using geometric techniques to improve dynamic programming algorithms for the economic lot-sizing problem and extensions," European Journal of Operational Research, Elsevier, vol. 75(2), pages 312-331, June.
    36. Drexl, Andreas & Haase, Knut, 1995. "Proportional lotsizing and scheduling," International Journal of Production Economics, Elsevier, vol. 40(1), pages 73-87, June.
    37. Fleischmann, Bernhard, 1994. "The discrete lot-sizing and scheduling problem with sequence-dependent setup costs," European Journal of Operational Research, Elsevier, vol. 75(2), pages 395-404, June.
    38. 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.
    39. 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.
    40. VAN VYVE, Mathieu, 2003. "Algorithms for single item constant capacity lotsizing problems," CORE Discussion Papers 2003007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    41. du Merle, O & Goffin, J-L & Trouiller, C & Vial, J-Ph, 1997. "A Lagrangian Relaxation of the Capacitated Multi-Item Lot Sizing Problem Solved with an Interior Point Cutting Plan Algorithm," Papers 97.11, Ecole des Hautes Etudes Commerciales, Universite de Geneve-.
    42. 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.
    43. repec:fth:louvco:0039 is not listed on IDEAS
    44. WOLSEY, Laurence, 2002. "Solving multi-item lot-sizing problems with an MIP solver using classification and reformulation," CORE Discussion Papers 2002012, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    45. Hertz, Alain & Widmer, Marino, 2003. "Guidelines for the use of meta-heuristics in combinatorial optimization," European Journal of Operational Research, Elsevier, vol. 151(2), pages 247-252, December.
    46. Michael Florian & Morton Klein, 1971. "Deterministic Production Planning with Concave Costs and Capacity Constraints," Management Science, INFORMS, vol. 18(1), pages 12-20, September.
    47. 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.
    48. Joseph D. Blackburn & Robert A. Millen, 1982. "Improved Heuristics for Multi-Stage Requirements Planning Systems," Management Science, INFORMS, vol. 28(1), pages 44-56, January.
    49. Fleischmann, B. & Meyr, H., 1997. "The General Lotsizing and Scheduling Problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 36068, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    50. Diaby, M. & Bahl, H. C. & Karwan, M. H. & Zionts, S., 1992. "Capacitated lot-sizing and scheduling by Lagrangean relaxation," European Journal of Operational Research, Elsevier, vol. 59(3), pages 444-458, June.
    51. 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.
    52. Degraeve, Z. & Jans, R.F., 2003. "A New Dantzig-Wolfe Reformulation And Branch-And-Price Algorithm For The Capacitated Lot Sizing Problem With Set Up Times," ERIM Report Series Research in Management ERS-2003-010-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
    53. Kuik, Roelof & Salomon, Marc & van Wassenhove, Luk N., 1994. "Batching decisions: structure and models," European Journal of Operational Research, Elsevier, vol. 75(2), pages 243-263, June.
    54. Kuik, R. & Salomon, M., 1990. "Multi-level lot-sizing problem: Evaluation of a simulated-annealing heuristic," European Journal of Operational Research, Elsevier, vol. 45(1), pages 25-37, March.
    55. De Bodt, Marc A. & Gelders, Ludo F. & Van Wassenhove, Luk N., 1984. "Lot sizing under dynamic demand conditions: A review," Engineering Costs and Production Economics, Elsevier, vol. 8(3), pages 165-187, December.
    56. Willard I. Zangwill, 1966. "A Deterministic Multi-Period Production Scheduling Model with Backlogging," Management Science, INFORMS, vol. 13(1), pages 105-119, September.
    57. François Vanderbeck, 1998. "Lot-Sizing with Start-Up Times," Management Science, INFORMS, vol. 44(10), pages 1409-1425, October.
    58. Meyr, H., 2000. "Simultaneous lotsizing and scheduling by combining local search with dual reoptimization," European Journal of Operational Research, Elsevier, vol. 120(2), pages 311-326, January.
    59. Selen, W. J. & Heuts, R. M. J., 1990. "Operational production planning in a chemical manufacturing environment," European Journal of Operational Research, Elsevier, vol. 45(1), pages 38-46, March.
    60. 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.
    61. Stadtler, Hartmut, 2003. "Multilevel lot sizing with setup times and multiple constrained resources: Internally rolling schedules with lot-sizing windows," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 20204, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    62. Diaby, Moustapha, 1993. "Efficient post-optimization analysis procedure for the dynamic lot-sizing problem," European Journal of Operational Research, Elsevier, vol. 68(1), pages 134-138, July.
    63. Wolsey, Laurence A., 1997. "MIP modelling of changeovers in production planning and scheduling problems," European Journal of Operational Research, Elsevier, vol. 99(1), pages 154-165, May.
    64. Tang, Ou, 2004. "Simulated annealing in lot sizing problems," International Journal of Production Economics, Elsevier, vol. 88(2), pages 173-181, March.
    65. Lambrecht, Marc & Vander Eecken, Jacques, 1978. "A facilities in series capacity constrained dynamic lot-size model," European Journal of Operational Research, Elsevier, vol. 2(1), pages 42-49, January.
    66. Willard I. Zangwill, 1969. "A Backlogging Model and a Multi-Echelon Model of a Dynamic Economic Lot Size Production System--A Network Approach," Management Science, INFORMS, vol. 15(9), pages 506-527, May.
    67. 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.
    68. Laurence A. Wolsey, 2002. "Solving Multi-Item Lot-Sizing Problems with an MIP Solver Using Classification and Reformulation," Management Science, INFORMS, vol. 48(12), pages 1587-1602, December.
    69. Ozdamar, Linet & Birbil, Sevket Ilker, 1998. "Hybrid heuristics for the capacitated lot sizing and loading problem with setup times and overtime decisions," European Journal of Operational Research, Elsevier, vol. 110(3), pages 525-547, November.
    70. van Nunen, J. A. E. E. & Wessels, J., 1978. "Multi-item lot size determination and scheduling under capacity constraints," European Journal of Operational Research, Elsevier, vol. 2(1), pages 36-41, January.
    71. Terry P. Harrison & Holly S. Lewis, 1996. "Lot Sizing in Serial Assembly Systems with Multiple Constrained Resources," Management Science, INFORMS, vol. 42(1), pages 19-36, January.
    72. 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.
    73. Miller, Andrew J. & Nemhauser, George L. & Savelsbergh, Martin W. P., 2000. "On the capacitated lot-sizing and continuous 0-1 knapsack polyhedra," European Journal of Operational Research, Elsevier, vol. 125(2), pages 298-315, September.
    74. 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.
    75. Stadtler, Hartmut, 1997. "Reformulations of the shortest route model for dynamic multi-item multi-level capacitated lotsizing," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 7096, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    76. Fleischmann, Bernhard, 1990. "The discrete lot-sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 44(3), pages 337-348, February.
    77. Gabriel R. Bitran & Hirofumi Matsuo, 1986. "The Multi-Item Capacitated Lot Size Problem: Error Bounds of Manne's Formulations," Management Science, INFORMS, vol. 32(3), pages 350-359, March.
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    Cited by:
    1. 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.
    2. Bernardo Almada-Lobo & Diego Klabjan & Maria Carravilla & José Oliveira, 2010. "Multiple machine continuous setup lotsizing with sequence-dependent setups," Computational Optimization and Applications, Springer, vol. 47(3), pages 529-552, November.
    3. 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.
    4. 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.
    5. Meyr, Herbert & Mann, Matthias, 2013. "A decomposition approach for the General Lotsizing and Scheduling Problem for Parallel production Lines," European Journal of Operational Research, Elsevier, vol. 229(3), pages 718-731.
    6. Muller, Laurent Flindt & Spoorendonk, Simon & Pisinger, David, 2012. "A hybrid adaptive large neighborhood search heuristic for lot-sizing with setup times," European Journal of Operational Research, Elsevier, vol. 218(3), pages 614-623.
    7. Zhou, Hong & Cheung, Waiman & Leung, Lawrence C., 2009. "Minimizing weighted tardiness of job-shop scheduling using a hybrid genetic algorithm," European Journal of Operational Research, Elsevier, vol. 194(3), pages 637-649, May.
    8. 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.

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