Two queueing systems with foreground-background processor sharing discipline are considered. Non-stationary joint distribution of the number of customers served until the moment t and being in the system at time t taking into account their lengths (for the customers being in the system at the moment t their served lengths are considered) is derived in terms of a triple transform (the Laplace transform on time and generation functions on number of customers).
Non-Stationary Characteristics of Queueing systems with the Foreground-Background Processor Sharing Discipline
D'APICE, Ciro;SALERNO, Saverio
2005-01-01
Abstract
Two queueing systems with foreground-background processor sharing discipline are considered. Non-stationary joint distribution of the number of customers served until the moment t and being in the system at time t taking into account their lengths (for the customers being in the system at the moment t their served lengths are considered) is derived in terms of a triple transform (the Laplace transform on time and generation functions on number of customers).File in questo prodotto:
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