The retrial phenomenon occurs inherently in a wide range of queueing systems. majority models do not account for vacation. However, practice, systems undergo vacations maintenance or other reasons. In this study, we provide an in-depth analysis the many possible when Bernoulli are effect. Moreover, study outlines key principles and reviews relevant literature. framework queue with vacation has ...

We consider in this paper an M/G/1 type queueing system with the following extensions. First, the server is unreliable and is subject to random breakdowns. Second, the server also implements the well-knownN-policy.Third, instead of a Bernoulli vacation schedule, the more general notion of binomial schedule withK vacations is applied. A cost function with two decision variables is developed. A n...

This paper is concerned with the analysis of a single server queueing system subject to Bernoulli vacation schedules with server setup and close down periods. An explicit expression for the probability generating function of the number of customers present in the system is obtained by using imbedded Markov chain technique. The steady state probabilities of no customer in the system at the end o...

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...

This paper is concerned with the analysis of a single-server queue with Bernoulli vacation schedules and general retrial times. We assume that the customers who find the server busy axe queued in the orbit in accordance with an FCFS (first-come-first-served) discipline and only the customer at the head of the queue is allowed access to the server. We first present the necessary and sufficient c...

In this paper, a bulk arrival retrial queueing model with two phases of service symbolically denoted by M/(G1,G2)/1 has been discussed under Bernoulli vacation schedule to explore main ly its steady state behaviour using maximum entropy principle (MEP). We consider that customers arrive in batches according to Poisson distribution and a single server of the system provides his services in two p...

In this paper, we considered a batch arrival feedback retrial queue with two phase of service under Bernoulli vacation schedule and orbit search. At the arrival epoch of a batch, if the server is busy, under repair or on vacation then the whole batch joins the orbit. Where as if the server is free, then one of the arriving customers starts his service immediately and the rest join the orbit. At...

In this paper, we investigate a single server batch arrival non-Markovian retrial queueing model with random break down and Bernoulli vacation. Customers arrive in batches accordingly Poisson process with arrival rate λ but are served one by one with first come first served basis. All customers demand the first essential service, whereas only some of them demand the second optional service. The...

A repairable 1 M G / / retrial queue with general retrial times, Bernoulli vacation, setup times and two-phase service is investigated in this paper. Customers are allowed to balk and renege at particular times. We assume that the customers who find the server busy or down are queued in the orbit in accordance with a first-come-first-served (FCFS) discipline. All customers demand the first “ess...

This paper investigates a discrete-time impatient customer queue with Bernoullischedule 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 analysis ...