An optimal solution for the stochastic version of the Wagner-Whitin dynamic lot-size model

European Journal of Operational Research

Volumn 198, Issue 2, 2009, Pages 447-451

  Vargas, Vicente ^a  

^a UNIVERSITY OF SAN DIEGO   (United States)

Author keywords

Dynamic programming; Finite horizon; Inventory; Optimal policies; Production

Indexed keywords

HEURISTIC METHODS; NORMAL DISTRIBUTION; OPTIMAL SYSTEMS; OPTIMIZATION; RANDOM PROCESSES; STOCHASTIC MODELS; SYSTEMS ENGINEERING;

DETERMINISTIC PROBLEMS; FINITE HORIZON; INVENTORY; KNOWLEDGE BUILDINGS; LOT SIZES; NON STATIONARIES; OPTIMAL POLICIES; OPTIMAL SOLUTIONS; PLANNING HORIZONS; WAGNER-WHITIN ALGORITHMS;

DYNAMIC PROGRAMMING;

EID: 63349104845     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2008.09.003     Document Type: Article

References (23)

1. Askin R. A procedure for production lot sizing with probabilistic dynamic demand. AIIE Transactions 13 2 (1981) 132-137
2. Benton W., and Whybark D. Material requirements planning (MRP) and purchase discounts. Journal of Operations Management 2 2 (1982) 137
3. Bookbinder J., and Tan J. Strategies for probabilistic lot-sizing problem with service level constraints. Management Science 34 9 (1988) 1096-1108
4. Callarman T., and Hamrin R. A comparison of dynamic lot sizing rules for use in a single stage MRP system with demand uncertainty. International Journal of Operations and Production Management 4 2 (1984) 39-48
5. DeBodt M., and Van Wassenhove L. Cost increases due to demand uncertainty in MRP lot sizing. Decision Sciences 14 3 (1983) 345-361
6. Hopp W. Ten most influential papers of Management Science's first fifty years. Management Science 50 (2004) 1763
7. ISI Web of Science Citation Database, 2006. Thomson Company (retrieved July 14).
8. Lasserre J., Bes C., and Roubellat F. The stochastic discrete dynamic lot size problem: An open-loop solution. Operations Research 33 3 (1985) 684-689
9. New C. Safety stocks for requirements planning. Production and Inventory Management Journal 16 2 (1975) 1-17
10. Orlicky J. Material Requirements Planning; the New Way of Life in Production and Inventory Management (1975), McGraw-Hill, New York
11. Silver E. The response of a concerned management scientist. Production and Inventory Management 17 3 (1976) 96-99
12. Silver E. Inventory control under a probabilistic time-varying, demand pattern. AIIE Transactions 10 4 (1978) 371-379
13. Silver E., and Meal H. A heuristic for selecting lot size requirements for the case of a deterministic time varying demand rate and discrete opportunities for replenishment. Production and Inventory Management Journal 14 2 (1973) 64-74
14. Sox C., and Muckstadt J. Optimization-based planning for the stochastic lot-scheduling problem. IIE Transactions 29 5 (1997) 349-357
15. Tarim S.A., and Kingsman B.G. The stochastic dynamic production/inventory lot-sizing problem with service-level constraints. International Journal of Production Economics 88 1 (2004) 105-119
16. Vargas, V., 2005. Master production schedule instability under demand uncertainty: An optimal solution for fixed schedule change cost case. Working paper. School of Business Administration, University of San Diego, San Diego, CA.
17. Wagner H. Comments on "Dynamic version of the economic lot-size model". Management Science 50 12 (2004) 1775-1777 (supplement)
18. Wagner H., and Whitin T. Dynamic version of the economic lot-size model. Management Science 5 1 (1958) 89-96
19. Wemmerlov U. The ubiquitous EOQ - its relation to discrete lot-sizing heuristics. International Journal of Production and Operations Management 1 3 (1981) 161-179
20. Wemmerlov U. The part-period balancing algorithm and its look ahead-look back feature: A theoretical and experimental analysis of a single stage lot-sizing procedure. Journal of Operations Management 4 1 (1983) 23-39
21. Wemmerlov U. The behavior of lot-sizing procedures in the presence of forecast errors. Journal of Operations Management 8 1 (1989) 37-47
22. Wemmerlov U., and Whybark D. Lot-sizing under uncertainty in a rolling schedule environment. International Journal of Production Research 22 3 (1984) 467-484
23. Whybark D., and Williams J. Material requirements planning under uncertainty. Decision Sciences 7 4 (1976) 595-606