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Note--On Madigan's Approach to the Deterministic Multi-Product Production and Inventory Problem

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  • Kenneth R. Baker

    (The University of Michigan)

Abstract

The deterministic multi-product single-machine production and inventory problem is one of the simplest models in which production and inventory factors interact. There is at present no algorithm available which solves the problem optimally, and several different types of approaches have been presented in the literature. Madigan's heuristic method [Madigan, J. G. 1968. Scheduling a multi-product single machine system for an infinite planning period. Management Sci. 14(11, July) 713-719.] avoided some of the drawbacks characteristic of other methods, but there are some errors and limitations in his original presentation, to which this note is addressed.

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  • Kenneth R. Baker, 1970. "Note--On Madigan's Approach to the Deterministic Multi-Product Production and Inventory Problem," Management Science, INFORMS, vol. 16(9), pages 636-638, May.
    • Handle: RePEc:inm:ormnsc:v:16:y:1970:i:9:p:636-638
    DOI: 10.1287/mnsc.16.9.636
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    Cited by:

    1. Amir Hossein Nobil & Amir Hosein Afshar Sedigh & Leopoldo Eduardo Cárdenas-Barrón, 2020. "A multiproduct single machine economic production quantity (EPQ) inventory model with discrete delivery order, joint production policy and budget constraints," Annals of Operations Research, Springer, vol. 286(1), pages 265-301, March.
    2. Salmasnia Ali & Hafezian Rahil & Maleki Mohammad Reza, 2022. "Integrated maintenance, inventory and quality engineering decisions for multi-product systems," Engineering Management in Production and Services, Sciendo, vol. 14(4), pages 94-113, December.

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