Optimal procedure for the coordinated replenishment dynamic lot-sizing problem with quantity discounts

Naval Research Logistics

Volumn 47, Issue 8, 2000, Pages 686-695

  Chung, Chia Shin ^a   Hum, Sin Hoon ^b   Kirca, Omer ^c  

^a CLEVELAND STATE UNIVERSITY   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c MIDDLE EAST TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COSTS; DECISION THEORY; MARKETING; MATHEMATICAL PROGRAMMING; SALES; SCHEDULING;

BRANCH AND BOUND SCHEME; LOT SIZING; QUANTITY DISCOUNT;

INVENTORY CONTROL;

EID: 0034546260     PISSN: 0894069X     EISSN: None     Source Type: Journal    
DOI: 10.1002/1520-6750(200012)47:8<686::AID-NAV6>3.0.CO;2-W     Document Type: Article

References (13)

1. Y. Aksoy and S.S. Erenguc, Multi-item inventory models with co-ordinated replenishments: A survey, Int J Oper Prod Manage 8 (1988), 63-73.
2. W.C. Benton, Quantity discount decisions under conditions of multiple items, multiple suppliers and resource limitations, Int J Prod Res 29 (1991), 1953-1961.
3. R.G. Brown, Decision rules for inventory management, Rienhart and Winston, New York, 1967.
4. C.S. Chung, S.H. Hum, and O. Kirca, The coordinated replenishment dynamic lot-sizing problems with quantity discounts, Eur J Oper Res 94 (1966), 122-133.
5. G.D. Eppen and R.K. Martin, Solving multi-item capacitated lot-sizing problems using variable redefinition, Oper Res 35 (1987), 832-848.
6. A. Federgruen and C.Y. Lee, The dynamic lot size model with quantity discount, Nav Res Logistics 37 (1990), 707-713.
7. S.K. Goyal, Determination of optimum packing frequency of items jointly replenished. Manage Sci 21 (1974), 436-443.
8. E.P.C. Kao, A multi-product dynamic lot-size model with individual and joint set-up costs, Oper Res 27 (1979), 279-284.
9. O. Kirca, A primal-dual algorithm for the dynamic lotsizing problem with joint set-up costs, Nav Res Logistics 42 (1995), 791-806.
10. E.P. Robinson and L.L. Gao, A dual ascent procedure for multiproduct dynamic demand coordinated replenishment with backlogging, Manage Sci 42 (1996), 1556-1564.
11. E. A. Silver, Coordinated replenishments of items under time-vary ing demand: Dynamic programming formulation, Nav Res Logistics Quart 26 (1979), 141-151.
12. A.F. Veinott, Jr., Minimum concave cost solution of Leontief substitution models of multi-facility inventory systems, Oper Res 17 (1969), 262-291.
13. W.I. Zangwill, A deterministic multiproduct, multifacility production and inventory model, Oper Res 14 (1966), 486-507.