A review of tactical planning models
Michael Comelli , Michel Gourgand , David Lemoine
Journal of Systems Science and Systems Engineering ›› 2008, Vol. 17 ›› Issue (2) : 204 -229.
The aim of this paper is to give an overview on models and methods used to solve tactical planning problems. The modeling and the elaboration of the well-know tactical planning problems (master planning & scheduling, material requirement planning and multi-site planning) are discussed. These problems are modeled from two “lot sizing” models called the Capacitated Lot Sizing Problem (CLSP) and Multi Level Capacitated Lot Sizing Problem (MLCLSP). From both models, a lot of extensions has been proposed in the literature. The purpose of this paper is twofold: first, classifications of the CLSP and MLCLSP as well as their extensions are given. For each model, the major scientific contributions are mentioned. These classifications made from seventy papers give an overview of “lot sizing” models dedicated to the MPS, MRP and Multi-site and show the diversity of models. Second, from a classification, an analysis of methods used for each model is given. The instance size, best gap and reference for gap computation are given for each contribution. This work can be used to elaborate an optimization tool for tactical planning problematic such as Advanced Planning System.
Tactical planning / lot sizing models / resolution approach
| [1] |
Absi, N. & Kedad-Sidhoum, S. (2006). The multi-item capacitated lot-sizing problem with setup-times and shortage costs. Technical report |
| [2] |
|
| [3] |
|
| [4] |
|
| [5] |
|
| [6] |
|
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
|
| [11] |
|
| [12] |
|
| [13] |
|
| [14] |
|
| [15] |
|
| [16] |
|
| [17] |
Clark, A.R. (2002). Approximate combinatorial optimization models for large-scale production lot sizing and scheduling with sequence-dependent setup times. In: IV ALIO/EURO Workshop on Applied Combinatorial Optimization, Pucón, Chile |
| [18] |
|
| [19] |
|
| [20] |
|
| [21] |
|
| [22] |
|
| [23] |
|
| [24] |
|
| [25] |
|
| [26] |
|
| [27] |
|
| [28] |
|
| [29] |
|
| [30] |
Fleischmann, B. & Meyr, H. (2003). Planning hierarchy, modeling and advanced planning systems. In: de Kok, A.G., Graves, S.C. (eds.), Supply Chain Management: Design, Coordination and Operation, Handbooks in Operations Research and Management Science, 11: pp. 457–502 |
| [31] |
|
| [32] |
|
| [33] |
Gelders, L.F., Maes, J. & Van Wassenhove, L.N. (1986). A branch and bound algorithm for the multi-item single level capacitated dynamic lotsizing problem, multi-stage production planning and inventory control. Lectures Notes in Economics and Mathematical Systems, 92–108 |
| [34] |
Génin, P. (2003). Planification tactique robuste avec usage d’un A.P.S. Proposition d’un mode de gestion par plan de référence. PhD thesis, Ecole supérieure des mines de Paris |
| [35] |
|
| [36] |
|
| [37] |
|
| [38] |
|
| [39] |
|
| [40] |
|
| [41] |
Haase, K. & Kohlmorgen, U. (1995). Parallel genetic algorithm for the capacitated lotsizing problem. Operations Research Proceedings, 370–375 |
| [42] |
|
| [43] |
Hassini, E. (2006). Order lot sizing with multiple capacitated suppliers offering lead time-dependent capacity reservation and unit price discounts. Production Planning Control, in press |
| [44] |
Haugen, K.K., Olstad, A. & Pettersen, B.I. (2006). The profit maximizing capacitated lot-size (PCLSP) problem. European Journal of Operational Research, in press |
| [45] |
|
| [46] |
|
| [47] |
|
| [48] |
|
| [49] |
Huisman, D., Jans, R., Peeters, M. & Wagelmans, A.P.M. (2003). Combining column generation and lagrangian relaxation. Technical Report |
| [50] |
|
| [51] |
|
| [52] |
|
| [53] |
|
| [54] |
|
| [55] |
|
| [56] |
|
| [57] |
|
| [58] |
|
| [59] |
|
| [60] |
|
| [61] |
|
| [62] |
|
| [63] |
|
| [64] |
|
| [65] |
|
| [66] |
Marty, C. (1997). Le juste à temps produire autrement. 2ème édition, Edition Hermes, 124 |
| [67] |
|
| [68] |
Miller, A.J., Nemhauser, G.L. & Savelsbergh, M.W.P. (2000). Solving multi-item capacitated lot-sizing problems with setup-times by branch-and-cut. Technical Report |
| [69] |
|
| [70] |
|
| [71] |
|
| [72] |
|
| [73] |
|
| [74] |
|
| [75] |
|
| [76] |
|
| [77] |
Rizk, N. & Martel, A. (2001). Supply chain flow planning methods: a review of the lot-sizing literature. Working paper, DT-2001-AM-1, Université Laval (Canada) |
| [78] |
|
| [79] |
Rota, K. (1998). Coordination temporelle de centres gérant de façon autonome des ressources. Application aux chaínes logistiques intégrées en aéronautique. PhD Thesis, ENSAE |
| [80] |
|
| [81] |
|
| [82] |
|
| [83] |
|
| [84] |
|
| [85] |
|
| [86] |
Thierry, C., Chapeaublanc, N., Lepage, P. & Bel, G. (1994). Multi-site planning: a centralized or a distributed approach?. In: Conference INRIA, Sophia Antipolis, France |
| [87] |
|
| [88] |
|
| [89] |
Torabi, S.A. & Hassini, E. (2007). An interactive possibilistic programming approach for multipleobjective supply chain master planning. Fuzzy Sets and System, in press |
| [90] |
|
| [91] |
|
| [92] |
Vollmann, T.E., Berry, D.W. & Whybark, D.C. (1997). Manufacturing Planning and Control Systems, 4th ed. New York et al. |
| [93] |
|
| [94] |
|
| [95] |
Wight, O. (1984). Manufacturing Resource Planning: MRP II: Unlocking America’s Productivity Potential Revised Edition. Oliver Wight editor |
| [96] |
|
| [97] |
Xie, J., Lee, T.S. & Zhao, X. (2004). Impact of forecasting error on the performance of capacitated multi-item production systems. Computers & Industrial Engineering, in press |
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