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A Replenishment Model for Radioactive Nuclide Generators

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  • Hamilton Emmons

    (Cornell University)

Abstract

The nuclide generator is a radioactive element of long half life which is used to produce a short-lived daughter, or decay product, useful in medical diagnosis. This paper discusses the inventory problem for such exponentially decaying substances. Methods are proposed for finding the optimizing replenishment size when the reorder point, replenishment cost function, and other parameters are given. The reorder point is determined by certain medical requirements which give rise to a rather complicated model. A simple method is presented for finding close bounds on the required solution.

Suggested Citation

  • Hamilton Emmons, 1968. "A Replenishment Model for Radioactive Nuclide Generators," Management Science, INFORMS, vol. 14(5), pages 263-274, January.
    • Handle: RePEc:inm:ormnsc:v:14:y:1968:i:5:p:263-274
    DOI: 10.1287/mnsc.14.5.263
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    Cited by:

    1. Gupta, Diwakar & Gerchak, Yigal, 1995. "Joint product durability and lot sizing models," European Journal of Operational Research, Elsevier, vol. 84(2), pages 371-384, July.
    2. Pahl, Julia & Voß, Stefan, 2014. "Integrating deterioration and lifetime constraints in production and supply chain planning: A survey," European Journal of Operational Research, Elsevier, vol. 238(3), pages 654-674.
    3. Md Sadikur Rahman & Subhajit Das & Amalesh Kumar Manna & Ali Akbar Shaikh & Asoke Kumar Bhunia & Leopoldo Eduardo Cárdenas-Barrón & Gerardo Treviño-Garza & Armando Céspedes-Mota, 2021. "A Mathematical Model of the Production Inventory Problem for Mixing Liquid Considering Preservation Facility," Mathematics, MDPI, vol. 9(24), pages 1-19, December.

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