The linear dynamic lot size problem with minimum order quantity

International Journal of Production Economics

Volumn 133, Issue 2, 2011, Pages 688-693

  Okhrin, Irena ^a   Richter, Knut ^a  

^a EUROPEAN UNIVERSITY VIADRINA   (Germany)

Author keywords

Dynamic programming; Lot sizing problem; Minimum order quantity

Indexed keywords

COMPUTATIONAL EFFICIENCY; OPTIMAL SYSTEMS; PRODUCTION CONTROL;

COMPUTATIONAL TESTS; DEMAND STRUCTURES; EXPLICIT FORM; LINEAR DYNAMICS; LOT SIZING PROBLEMS; MINIMUM ORDER QUANTITIES; OPTIMAL SOLUTIONS; SOLUTION ALGORITHMS;

DYNAMIC PROGRAMMING;

EID: 80051552585     PISSN: 09255273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijpe.2011.05.017     Document Type: Article

References (26)

1. E.J. Anderson, and B.S. Cheah Capacitated lot-sizing with minimum batch sizes and setup times International Journal of Production Economics 3031 1993 137 152
2. N. Brahimi, S. Dauzere-Peres, N.M. Najid, and A. Nordli Single item lot sizing problems European Journal of Operational Research 168 2006 1 16 (Pubitemid 40454546)
3. M. Constantino Lower bounds in lot-sizing models: a polyhedral study Mathematics of Operations Research 23 1998 101 118 (Pubitemid 128628153)
4. Dempe, S., Richter, K., 1981. Polynomial algorithm for a linear discontinuous knapsack problem. Wissenschaftliche Informationen der Sektion Mathematik, 25, TH Karl-Marx-Stadt.
5. A. Drexl, and A. Kimms Lot sizing and scheduling - survey and extensions European Journal of Operational Research 99 1998 221 235
6. A. Federgruen, and M. Tzur A simple forward algorithm to solve general dynamic lot sizing models with n periods in O (nlogn) or O(n) time Management Science 37 1991 909 925 (Pubitemid 23585668)
7. M. Florian, and M. Klein Deterministic production planning with concave cost and capacity constraints Management Science 18 1971 12 20
8. Hammond, J.H., Raman, A., 2006. Sport Obermeyer Ltd., Harvard Business School Case Study.
9. N. Kamath, and S. Bhattacharya Lead time minimization of a multi-product, single-processor system: a comparison of cyclic policies International Journal of Production Economics 106 2007 28 40 (Pubitemid 44918286)
10. L.S. Lasdon, and R.C. Terjung An efficient algorithm for multi-item scheduling Operations Research 19 1971 946 969
11. C.-Y. Lee Inventory replenishment model: lot sizing versus just-in-time delivery Operations Research Letters 32 2004 581 590
12. J. Maes, and L. Van Wassenhove Multi-item single-level capacitated dynamic lot-sizing heuristics: a general review The Journal of the Operational Research Society 39 1988 991 1004
13. A.S. Manne Programming of economic lot sizes Management Science 4 1958 115 135
14. C. Mercé, and G. Fontan MIP-based heuristics for capacitated lot sizing problems International Journal of Production Economics 85 2003 97 111
15. E.P. Musalem, and R. Dekker Controlling inventories in a supply chain: a case study International Journal of Production Economics 9394 2005 179 188
16. E. Porras, and R. Dekker An efficient optimal solution method for the joint replenishment problem with minimum order quantities European Journal of Operational Research 174 2006 1595 1615 (Pubitemid 44176263)
17. K. Richter Deterministische dynamische Mehrproduktmodelle der Produktionsplanung und Lagerhaltung Mathematische Operationsforschung und Statistik 6 1975 385 395
18. Richter, K., 1982. Dynamische Aufgaben der diskreten Optimierung. Akademieverlag, Berlin.
19. Richter, K., Bachmann, P., Dempe, S., 1988. Diskrete Optimierungsmodelle. Effektive Algorithmen und Näherungslösungen. VEB Verlag Technik, Berlin.
20. Richter, K., Gobsch, B., 2005. Kreislauf-Logistik mit Losgrößenrestriktionen. Zeitschrift für Betriebswirtschaft, ZfB-Special Issue 4/2005, 5779.
21. D.J. Robb, and E.A. Silver Inventory management with periodic ordering and minimum order quantities Journal of the Operational Research Society 49 1998 1085 1094 (Pubitemid 128592222)
22. H. Tempelmeier, and M. Derstroff A Lagrangean-based heuristic for dynamic multilevel multiitem constrained lot sizing with setup times Management Science 42 1996 738 757 (Pubitemid 126611826)
23. A. Wagelmans, S. Van Hoesel, and A. Kolen Economic lot sizing: an O (nlogn) algorithm that runs in linear time in the WagnerWhitin case Operations Research 40 1992 145 156
24. H. Wagner, and T. Whitin Dynamic version of the economic lot size model Management Science 5 1958 89 96
25. L.A. Wolsey Progress with single-item lot-sizing Journal of Operational Research 86 1995 395 401
26. B. Zhou, Y. Zhao, and M.N. Katehakis Effective control policies for stochastic inventory systems with a minimum order quantity and linear cost International Journal of Production Economics 106 2007 523 531 (Pubitemid 46149249)