In this study, we consider a single server vacation queueing model with optional bulk service and an un-reliable server. A single server provides first essential service (FES) to all arriving customers one by one; apart from essential service, he can also facilitate the additional phase of optional service (OS) in batches of fixed size b(≥ 1), in case when the customers request for it. The serv...

The present investigation deals with the bulk arrival M/G/1 retrial queue with impatient customers and modified vacation policy. The incoming customers join the virtual pool of customers called orbit if they find the server being busy, on vacation or in broken down state otherwise the service of the customer at the head of the batch is started by the server. The service is provided in k</em...

On the basis of theoretical assumptions regarding resource gain and loss (S. E. Hobfoll, 1998), the authors used a longitudinal study to examine effects of vacation on well-being and performance-related outcomes. University employees (N = 221) completed measures of well-being (health complaints and burnout) and performance-related outcomes (self-reported task performance and effort expenditure)...

The present paper deals with the problem of calculating queue length distributions in a priority queueing model with a preemptive-resume policy under the assumption of general arrival and service distributions. The multi-queue priority system is decomposed into single-queue vacation systems, for which the visit and inter-visit distributions are approximated by the idle and busy period of a ΣGI/...

This paper investigates a discrete-time impatient customer queue with Bernoulli-schedule vacation interruption. The  vacation times and the service times during regular busy period and during working vacation period are assumed to follow geometric distribution. We obtain the steady-state probabilities at arbitrary and outside observer's observation epochs using recursive technique. Cost analysi...

Single server queueing system in retrial is investigated, as well optional re-service,customer search and delayed repair. Furthermore, the permitted to take a vacation under Modified Bernoulli vacation. In this model, some of customer’s seek voluntary reservice for identical service taken, dissatisfied with first attempt without entering group (probability r1) or leaving area 1 – r1). The faili...

In this paper, we investigate the power management of mobile devices, using a variant of an M/G/1 queue with probabilistic inhomogeneous multiple vacations and generalized service process. Under the vacation scheme, at the end of a vacation the server goes on another vacation, with a different probability distribution, if during the previous vacation there have been no arrivals. The modified va...

This paper studies a batch arrival single server Bernoulli feedback queue with Poisson arrivals, two stages of heterogeneous service with different (arbitrary) service time distributions subject to random breakdowns and multiple vacations with exponential distributed with Mean vacation time . After first-stage service the server must provide the second stage service. However after the completio...

We consider a finite-buffer single-server queue with Markovian arrival process (MAP) where the server serves a limited number of customers, and when the limit is reached it goes on vacation. Both singleand multiple-vacation policies are analyzed and the queue length distributions at various epochs, such as pre-arrival, arbitrary, departure, have been obtained. The effect of certain model parame...

Chronic incomplete recovery from work may have serious consequences in terms of ill-health. Although vacation is one of the most powerful manipulations of recovery in a field context, up to now only few researchers have addressed the impact of vacation on recovery from work. The aim of the current contribution is to present an overview of previous and current findings in this area and to give s...