Deterministic flow lines with applications

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23 Scopus citations


We demonstrate that flow line models with deterministic service times and an arbitrary arrival process may be exactly decomposed into segments that each exhibit similar behavior. We call the segments channels and demonstrate that this decomposition leads to a recursion for the delay experienced by customers within the system. The consequence, in addition to clearly elucidating the manner in which customers advance, is that the state of a flow line at any time can be completely characterized by a handful of parameters per channel.

Original languageEnglish
Article number5286234
Pages (from-to)228-239
Number of pages12
JournalIEEE Transactions on Automation Science and Engineering
Issue number2
StatePublished - Apr 2010


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