Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical method for calculating batch fragmentations and their
  impacts on product recall within a FIFO assignment policy   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.

14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org