The paper deals with the continuous-time BMAP/G/1 queue with multiple vacations and with its application to IEEE 802.16e sleep mode. The lengths of the vacation periods have general distribution and they depend on the number of preceding vacations (dependent multiple vacation). We give the expressions for the vector generating function of the stationary number of customers and its mean. Moreove...

For patients with borderline personality disorder, separations from significant figures in their lives, including therapists, are thought to be particularly painful. According to clinical wisdom, these patients manifest aggressive and self-destructive behavior around the time of separation. However, virtually no empirical studies have been conducted to test these beliefs. In this study, the beh...

We consider a stationary multi-class FIFO M/G/1 queue with exponential working vacations, where a server works at two different processing rates. There are K classes of customers, and the arrival rates and the distributions of the amount of service requirements of arriving customers depend on both their customer classes and the server state. When the system becomes empty, the server takes a wor...

Consider an M/M/1 queueing system with server vacations where the server is turned oo as soon as the queue gets empty. We assume that the vacation durations form a sequence of i.i.d. random variables with exponential distribution. At the end of a vacation period, the server may either be turned on if the queue is non empty or take another vacation. The following costs are incurred: a holding co...

We consider a MAP/PH/1-type queueing system with server vacations as model that is useful for the analysis of multiple access systems polling discipline without transmission interruption. Vacation corresponds to service providing competitive information flows system. In this paper, we vacation under pretty general assumptions about probabilistic distributions describing behavior and realistic a...