Fluid limit of a heavily loaded EDF queue with impatient customers
Moyal, Pascal; Decreusefond, Laurent (2008), Fluid limit of a heavily loaded EDF queue with impatient customers, Markov Processes and Related Fields, 14, 1, p. 131-158
TypeArticle accepté pour publication ou publié
External document linkhttp://hal.archives-ouvertes.fr/hal-00160835/en/
Journal nameMarkov Processes and Related Fields
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Abstract (EN)In this paper we present the fluid limit of an heavily loaded Earliest Deadline First queue with impatient customers, represented by a measure-valued process keeping track of residual time-credits of lost and waiting customers. This fluid limit is the solution of an integrated transport equation. We then use this fluid limit to derive fluid approximations of the processes counting the number of waiting and already lost customers.
Subjects / Keywordsmeasure-valued Markov process; Fluid Limit; Impatient Customers; earliest deadline first queue
Showing items related by title and author.
Moyal, Pascal; Dhersin, Jean-Stéphane; Decreusefond, Laurent; Tran, Viet Chi (2012) Article accepté pour publication ou publié