we consider an m/g/1 queue with regular and optional phase vacation and withstate dependent arrival rate. the vacation policy is after completion of service if there are no customers in the system, the server takes vacation consisting of k -phases, each phase is generally distributed. here the first phase is compulsory where as the other phases are optional. for this model the supplementary var...

Vacation time queues with Markovian arrival process (MAP) are mainly useful in modeling and performance analysis of telecommunication networks based on asynchronous transfer mode (ATM) environment. This paper analyzes a single-server finite capacity queue wherein service is performed in batches of maximum size “b” with a minimum threshold “a” and arrivals are governed by MAP. The server takes a...

This paper studies the behavior of a discrete queueing system which accepts synchronized arrivals and provides synchronized services. The number of arrivals occurring at an arriving point may follow any arbitrary discrete distribution possessing finite first moment and convergent probability generating function in I z [ ~< 1 + e with e > O. The system is equipped with an infinite buffer and one...

In this paper, we investigate the fuzzy logic based system characteristics of M/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 cho...

This paper investigates the queueing process of a bulk service queueing system under Bernoulli schedule. It also generalizes some known scenarios concerning the choice of service and re-service types. The queueing process is studied both in discrete time and in continuous time. Performance measures are derived and used to implement an optimal management policy of the system.

In this paper, the operating characteristics of an 1 / /G M X queueing system with unreliable server and single vacation are analyzed. The server is subjected to fail, while it is on, and the arrival rate depends on the up and down states of the server. The time to failure is exponentially distributed and the repair times follow general distribution. Server is assigned to a secondary job (vacat...

The analysis of a queue that serves batches of customers with a novel service policy is presented in this paper, showing that a closed steady-state distribution of the number of customers in the queue can be derived for a very general setting of its parameters. Two output processes are flowing out of this queue depending on the fact that single customers are removed from the queue upon completi...

In this paper a M /G(a,b)/|1 queuing system with multiple vacations, delayed service and setup time is considered. If the queue size is < ‘a’ after a service completion or after a vacation termination, the server goes for multiple vacation. Also after serving M batches continuously even if sufficient number of customers are there in the queue, the server goes for a vacation with probability α j...