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https://hdl.handle.net/2440/17838
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DC Field | Value | Language |
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dc.contributor.author | Green, D. | - |
dc.contributor.author | Metcalfe, A. | - |
dc.date.issued | 2005 | - |
dc.identifier.citation | Stochastic Models, 2005; 21(2-3):449-464 | - |
dc.identifier.issn | 1532-6349 | - |
dc.identifier.issn | 1532-4214 | - |
dc.identifier.uri | http://hdl.handle.net/2440/17838 | - |
dc.description.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. | - |
dc.description.statementofresponsibility | D. A. Green and A. V. Metcalfe | - |
dc.language.iso | en | - |
dc.publisher | Taylor & Francis Inc. | - |
dc.source.uri | http://dx.doi.org/10.1081/stm-200056229 | - |
dc.title | Reliability of supply between production lines | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1081/STM-200056229 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Metcalfe, A. [0000-0002-7680-3577] | - |
Appears in Collections: | Applied Mathematics publications Aurora harvest 2 Environment Institute publications |
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