R. Kalyanaraman

A fuzzy bulk queue with modified Bernoulli vacation and restricted admissible customers

A single server fuzzy queue with modified Bernoulli vacation is analyzed using a technique which is a fusion of Zadehs extension principle L.A. Zadeh, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1 1978, 3--28, α-cut approach and parametric non-linear programming. Batches of customers arrive at the system according to a compound Poisson process. But all arriving batches are not allowed to enter into the system. The restriction policy depends on availability or otherwise of the server. The system is analyzed in Fuzzy environment. Some special cases are discussed. A numerical study is also carried out.

A Single Server Compulsory Vacation Queue with Two Type of Services and with Restricted Admissibility

A single server queue with compulsory vacation has been considered. In addition admission to queue is based on a Bernoulli process and the server gives two types of services. For this model the probability generating functions of number of customers in the queue for different server states are obtained using supplementary variable technique. Some performance measures are calculated. Particular cases are deduced and some numerical examples are presented.

A single server instantaneous bernoulli feedback queue with multiple vacation

A single server infinite capacity queueing system with Poisson arrival and a general service time distribution along with Bernoulli feedback decision process is considered. As soon as the server becomes idle he leaves for a vacation and the duration of the vacation follows a general distribution Stationary distribution of the output process as well as results for particular cases are obtained. Some operating characteristics are derived and numerical results are presented to test the feasibility of the queueing model.

A Feedback Retrial Queueing System with Two Types of Batch Arrivals

A retrial queueing system with two types of batch arrivals, called type I and type II customers, is considered. Type I customers and type II customers arrive in batches of variable sizes according to two different Poisson processes. Service time distributions are identical and independent and are different for both types of customers. If the arriving customers are blocked due to the server being busy, type I customers are queued in a priority queue of infinite capacity, whereas type II customers enter into a retrial group in order to seek service again after a random amount of time. A type I customer who has received service departs the system with a preassigned probability or returns to the priority queue for reservice with the complement probability. A type II call who has received service leaves the system with a preassigned probability or rejoins the retrial group with complement probability. For this model, the joint distribution of the number of customers in the priority queue and in the retrial group is obtained in a closed form. Some particular models and operating characteristics are obtained. A numerical study is also carried out.

A single server batch service finite source queue with feedback

A single server batch service finite source queueing model with feedback mechanism has been studied. The inter arrival times and the service times are negative exponential random variables and the service is given in batches of fixed size. For this model the system steady state probabilities are obtained. Some performance measures are also calculated. Particular models are deduced and a numerical study is also carried out.

A feed back retrial queueing system with two types of arrivals

A retrial queueing system with two types of customers and with feed back is considered. Type 1 customers arrive in batches of size k with probability ck and type 2 customers arrive singly according to two Poisson processes with rates [EQUATION] and λ2 respectively. Service time distri butions are different for both type of customers. If arriving customers are blocked due to server being busy, type 1 customers are queued in a priority queue of infinite capacity, while type 2 customers enter into a retrial group in order to seek service again after a random amount of time. For this system the joint distribution of the number of customers in the priority queue and in the retrial group is obtained in closed form. Some operating characteristics are derived and a numerical study is also carried out.