This paper deals with multi-server queueing system two kinds of Working Vacations (WVs) and impatient customers. A random timer is started whenever a customer comes into the system. The may abandon if service not completed before impatience expires. Each time after serving all customers, becomes empty then server begins 1st kind vacation. On returning from WV, 2nd WV has no When back either or ...

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...

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 paper, we consider a GI/Geo/1 queue with working vacations and vacation interruption. The server takes the original work at the lower rate rather than completely stopping during the vacation period. Meanwhile, we introduce vacation interruption policy: the server can come back to the normal working level once there are customers after a service completion during the vacation period, thu...

This paper presents a finite buffer renewal input single working vacation and vacation interruption queue with state dependent services and state dependent vacations, which has a wide range of applications in several areas including manufacturing, wireless communication systems. Service times during busy period, vacation period and vacation times are exponentially distributed and are state depe...

We consider the discrete-time gated multiple-vacation queue. Vacations are modeled as independent random variables with distributions depending on the number of the immediately preceding vacations. Using a probability generating function approach, we focus on various performance measures such as moments of queue contents and customer delay in equilibrium. These measures are functions of a const...

vi Preface A variety of queueing models have been proposed and analyzed to evaluate the pelformance of systems such as computer, communication and manufacturing systems. Among them, queueing systems with vacations have been extensively studied in the last two decades since those have a lot of applications in those real systems. For example, in most computer systems, a processor is shared among ...