An M/(G1,G2)/1 Feedback Retrial Queue with Two Phase Service, Variant Vacation Policy Under Delaying Repair for Impatient Customer
نویسندگان
چکیده
Abstract. In this paper, we discuss about the concept of single server feedback retrial queueing system with two types of service and each type consist of two essential phases under variant vacation policy. Customers are allowed to balk and renege at particular times. By using the supplementary variables method, steady state probability generating function for system size and orbit size are obtained. The system performance measures and important special cases are discussed. Numerical illustrations are analyzed to see the effect of system parameters.
منابع مشابه
Unreliable bulk retrial queues with delayed repairs and modified vacation policy
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...
متن کاملBat Algorithm for Optimal Service Parameters in an Impatient Customer N-Policy Vacation Queue
In this paper, a meta-heuristic method, the Bat Algorithm, based on the echolocation behavior of bats is used to determine the optimum service rate of a queue problem. A finite buffer M/M/1 queue with N policy, multiple working vacations and Bernoulli schedule vacation interruption is considered. Under the two customers' impatient situations, balking and reneging, the...
متن کامل/G/1 Feedback Retrial Queue with Two Phase Service, Bernoulli Vacation, Delaying Repair and Orbit Search
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...
متن کاملMaximum Entropy Analysis of M/(G1,G2)/1 Retrial Queueing Model with Second Phase Optional Service and Bernoulli Vacation Schedule
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...
متن کاملBernoulli Vacation Policy for a Bulk Retrial Queue with Fuzzy Parameters
In this paper, we investigate the fuzzy logic based system characteristics of MX/G/1 retrial queuing system with Bernoulli vacation schedule. The service time and vacation time are assumed to be generally distributed. It is found in many practical situations that the queuing models with fuzzy parameters are much more realistic than the classical crisp parameters based queuing models. We have...
متن کامل