Mathematical method for calculating batch fragmentations and their impacts on product recall within a FIFO assignment policy

Abstract : This study explores the interactions between order sizes, batch sizes and potential product recalls within a FIFO assignment policy. Evidence is provided that the extent of a product recall is related to the fragmentation of the batches of input materials as it amplifies the impact of a crisis. A new management indicator is proposed in order to quantify the expected number of fragments composing a customer order FrBO. A probabilistic analysis reveals that for a given likelihood of crisis, the presence of different batches in a customer order will largely increase its risk. Accordingly, a new equation is proposed for calculating the expected recall size. Taking into account the fragmentation measure allows, for the first time, for the integration of a proactive product recall policy in the batch sizing decision process. A Monte Carlo simulation is performed to validate the effectiveness of this approach.
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https://hal.archives-ouvertes.fr/hal-02138624
Contributor : Simon Tamayo Giraldo <>
Submitted on : Thursday, May 23, 2019 - 11:34:34 PM
Last modification on : Wednesday, July 31, 2019 - 9:52:02 AM

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  • HAL Id : hal-02138624, version 1
  • ARXIV : 1905.08651

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Simon Tamayo, Thibaud Monteiro. Mathematical method for calculating batch fragmentations and their impacts on product recall within a FIFO assignment policy. 2019. ⟨hal-02138624⟩

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