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Type: Journal article
Title: Reliability of supply between production lines
Author: Green, D.
Metcalfe, A.
Citation: Stochastic Models, 2005; 21(2-3):449-464
Publisher: Taylor & Francis Inc.
Issue Date: 2005
ISSN: 1532-6349
Statement of
D. A. Green and A. V. Metcalfe
Abstract: We compare four strategies for ensuring a reliable just-in-time supply from a seat production line, which is prone to machine failure, to a car assembly line, which is assumed to operate at a constant speed over single shifts. The strategies are as follows: holding buffer stock; duplication of the least reliable machine; duplication of the production line as a stand-by; and running two production lines concurrently. Times between machine failures are assumed to have independent exponential distributions. A general distribution of repair times is allowed for by using phase-type representations. We show the stationary distribution for these models, and compare stationary distributions with average times within levels over shifts conditional on all machines working at the start of a shift. We compute moments of sojourn times within an arbitrary subset of states, which are relevant when cost is a non-linear function of downtime. We use first passage time results to obtain probabilities of line failure within a shift, and use these results to compare the four strategies.
DOI: 10.1081/STM-200056229
Appears in Collections:Applied Mathematics publications
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