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Fluid limit of a heavily loaded EDF queue with impatient customers

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Date
2008
Link to item file
http://hal.archives-ouvertes.fr/hal-00160835/en/
Dewey
Probabilités et mathématiques appliquées
Sujet
measure-valued Markov process; Fluid Limit; Impatient Customers; earliest deadline first queue
Journal issue
Markov Processes and Related Fields
Volume
14
Number
1
Publication date
2008
Article pages
131-158
URI
https://basepub.dauphine.fr/handle/123456789/3464
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Moyal, Pascal
Decreusefond, Laurent
Type
Article accepté pour publication ou publié
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.

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