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- W2004488719 abstract "This paper considers a Markovian bulk-arriving queue modified to allow both mass arrivals when the queue is idle and mass departures which allow for the possibility of removing the entire workload. Properties of queues which terminate when the server becomes idle are developed first, since these play a key role in later developments. Results for the case of mass arrivals, but no mass annihilation, are then constructed with specific attention being paid to recurrence properties, equilibrium queue-size structure, and waiting-time distribution. A closed-form expression for the expected queue size and its Laplace transform are also established. All of these results are then generalised to allow for the removal of the entire workload, with closed-form expressions being developed for the equilibrium size and waiting-time distributions." @default.
- W2004488719 created "2016-06-24" @default.
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- W2004488719 date "2004-06-01" @default.
- W2004488719 modified "2023-10-16" @default.
- W2004488719 title "Markovian bulk-arriving queues with state-dependent control at idle time" @default.
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- W2004488719 doi "https://doi.org/10.1239/aap/1086957583" @default.
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