Just-in-time control of time-varying discrete event dynamic systems in (max,+) algebra
We deal with timed event graphs whose holding times associated with places are variable. Defining a first-in-first-out functioning rule, we show that such graphs can be linearly described in (max,+) algebra. Moreover, this linear representation allows extending the just-in-time control synthesis exi...
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| Veröffentlicht in: | International journal of production research 2008-10, Vol.46 (19), p.5337-5348 |
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| container_end_page | 5348 |
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| container_issue | 19 |
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| container_title | International journal of production research |
| container_volume | 46 |
| creator | Lahaye, S. Boimond, J.-L. Ferrier, J.-L. |
| description | We deal with timed event graphs whose holding times associated with places are variable. Defining a first-in-first-out functioning rule, we show that such graphs can be linearly described in (max,+) algebra. Moreover, this linear representation allows extending the just-in-time control synthesis existing for timed event graphs with constant holding times. An example is proposed in order to illustrate how the approach can be applied as a just-in-time strategy for production lines. |
| doi_str_mv | 10.1080/00207540802273777 |
| format | Article |
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| ispartof | International journal of production research, 2008-10, Vol.46 (19), p.5337-5348 |
| issn | 0020-7543 1366-588X |
| language | eng |
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| source | Taylor & Francis Journals Complete; EBSCOhost Business Source Complete |
| subjects | (max,+) algebra Assembly line Assembly lines Discrete event systems FIFO Graphs Just in time Just-in-time control Just-in-time production Operations research Studies Time-varying systems Timed event graphs |
| title | Just-in-time control of time-varying discrete event dynamic systems in (max,+) algebra |
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