A single server queueing system with several independent Poisson input flows of customers, infinite buffers for each type of customers, and generalized foreground-background processor sharing discipline is studied. Non-stationary joint distribution of the number of customers of all types 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 the generating functions of the number of customers).
Non-Stationary Characteristics of the MK/GK/1 with the generalized Foreground-Background Processor Sharing Discipline
D'APICE, Ciro;SALERNO, Saverio
2005
Abstract
A single server queueing system with several independent Poisson input flows of customers, infinite buffers for each type of customers, and generalized foreground-background processor sharing discipline is studied. Non-stationary joint distribution of the number of customers of all types 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 the generating functions of the number of customers).File in questo prodotto:
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