PALM-MARTINGALE CALCULUS, QUEUES WITH VACATIONS, BATCH MARKOVIAN ARRIVAL PROCESSES,SERVER SET-UP Using Palm-martingale calculus, we derive the workload characteristic function and queue length moment generating function for the BMAP IGl/1 . queue with server vacations. In the queueing system under study, the server may start a vacation at the completion of a service or at the arrival of a custo...

OBJECTIVE To compare psychological stress, quality of marital life, and disruptive homelife due to work among rural women of central Wisconsin who take vacations frequently and those who do not. METHODS Women were recruited from 1996 to 2001 for a prospective cohort study from the Marshfield Epidemiologic Study area, a geographic area in central Wisconsin. Stratified sampling was used to sele...

This paper considers a repairable system with a repairman, who can take multiple vacations. If the system fails and the repairman is on vacation, it will wait for repair until the repairman is available. Assume that the system cannot be repaired ‘‘as good as new’’ after failures. Under these assumptions, using the geometric process and the supplementary variable technique, some important reliab...

There are many practical situations that have both features of customer retrials and server vacations. The vacation policy is characterized by the vacation startup rules and vacation termination rules. The queueing system with retrials and vacations has been described in variety of ways according to the vacation rules and retrial policies such as constant retrial policy and linear retrial polic...

In this note we identify a simple setup from which one may easily infer various decomposition results for queues with interruptions as well as càdlàg processes with certain secondary jump inputs. Special cases are processes with stationary or stationary and independent increments. In the Lévy process case, the decomposition holds not only in the limit but also at independent exponential times, ...