The MAP/G/1/infinity queue with FBPS discipline is under consideration. The mathematical relations for calculation of the non-stationary joint distribution of the number of served customers up to and the number of customers in the system at the moment t are obtained. For the customers which presented in the queue at the moment t, their served length are considered. The equations are obtained in the terms of triple transform—Laplace transformwith respect to the time and generating functions with respect to the number of customers.
Non-Stationary Characteristics in MAP/G/1/ Infinity Queue with the Foreground-Background Processor Sharing Discipline
D'APICE, Ciro;
2005
Abstract
The MAP/G/1/infinity queue with FBPS discipline is under consideration. The mathematical relations for calculation of the non-stationary joint distribution of the number of served customers up to and the number of customers in the system at the moment t are obtained. For the customers which presented in the queue at the moment t, their served length are considered. The equations are obtained in the terms of triple transform—Laplace transformwith respect to the time and generating functions with respect to the number of customers.File in questo prodotto:
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