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Multiproduct dynamic lot‐sizing model with coordinated replenishments

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  • S. Selcuk Erenguc

Abstract

In this article we consider a multiproduct dynamic lot‐sizing model. In addition to a separate setup cost for each product ordered, a joint setup cost is incurred when at least one product is ordered. We formulate the model as a concave minimization problem over a compact polyhedral set and present a finite branch and bound algorithm for finding an optimal ordering schedule. Superiority of the branch and bound algorithm to the existing exact procedures is demonstrated. We report computational experience with problems whose dimensions render the existing procedures computationally infeasible.

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  • S. Selcuk Erenguc, 1988. "Multiproduct dynamic lot‐sizing model with coordinated replenishments," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 1-22, February.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:1:p:1-22
    DOI: 10.1002/nav.3220350102
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    References listed on IDEAS

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    1. Harold P. Benson, 1985. "A finite algorithm for concave minimization over a polyhedron," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 32(1), pages 165-177, February.
    2. S. Selcuk Erenguc & Harold P. Benson, 1986. "The interactive fixed charge linear programming problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(2), pages 157-177, May.
    3. B. Martos, 1965. "The Direct Power of Adjacent Vertex Programming Methods," Management Science, INFORMS, vol. 12(3), pages 241-252, November.
    4. Gary D. Eppen & F. J. Gould & B. Peter Pashigian, 1969. "Extensions of the Planning Horizon Theorem in the Dynamic Lot Size Model," Management Science, INFORMS, vol. 15(5), pages 268-277, January.
    5. Hamdy A. Taha, 1973. "Concave minimization over a convex polyhedron," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(3), pages 533-548, September.
    6. 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.
    7. Rolf A. Lundin & Thomas E. Morton, 1975. "Planning Horizons for the Dynamic Lot Size Model: Zabel vs. Protective Procedures and Computational Results," Operations Research, INFORMS, vol. 23(4), pages 711-734, August.
    8. Edward Zabel, 1964. "Some Generalizations of an Inventory Planning Horizon Theorem," Management Science, INFORMS, vol. 10(3), pages 465-471, April.
    9. S. K. Goyal, 1974. "Determination of Optimum Packaging Frequency of Items Jointly Replenished," Management Science, INFORMS, vol. 21(4), pages 436-443, December.
    10. C. Loren Doll & D. Clay Whybark, 1973. "An Iterative Procedure for the Single-Machine Multi-Product Lot Scheduling Problem," Management Science, INFORMS, vol. 20(1), pages 50-55, September.
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    1. Chung, Chia-Shin & Hum, Sin-Hoon & Kirca, Omer, 1996. "The coordinated replenishment dynamic lot-sizing problem with quantity discounts," European Journal of Operational Research, Elsevier, vol. 94(1), pages 122-133, October.

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