A single server queueing system with Markov input flow of customers of several types, 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 staying in the system at time t considering their lengths (for customers in the system at the moment t their served lengths are considered) is derived in terms of a triple transform (Laplace transform on time and generating functions of the number of customers).
Non-stationary characteristics of the MAP_K/G_K/1 queueing system with generalized foreground-background processor sharing discipline
D'APICE, Ciro;MANZO, Rosanna;
2005-01-01
Abstract
A single server queueing system with Markov input flow of customers of several types, 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 staying in the system at time t considering their lengths (for customers in the system at the moment t their served lengths are considered) is derived in terms of a triple transform (Laplace transform on time and generating functions of the number of customers).File in questo prodotto:
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