M.C. Saravanarajan

Bio: M.C. Saravanarajan is an academic researcher from VIT University. The author has contributed to research in topics: Retrial queue & Queue. The author has an hindex of 6, co-authored 20 publications receiving 116 citations.

Analysis of repairable M (X) /(G 1 ,G 2 )/1 - feedback retrial G-queue with balking and starting failures under at most J vacations

Abstract: In this paper, we discuss the steady state analysis of a batch arrival feedback retrial queue with two types of services and negative customers. Any arriving batch of positive customers finds the server is free, one of the customers from the batch enters into the service area and the rest of them get into the orbit. The negative customer, is arriving during the service time of a positive customer, will remove the positive customer in-service and the interrupted positive customer either enters the orbit or leaves the system. If the orbit is empty at the service completion of each type of service, the server takes at most J vacations until at least one customer is received in the orbit when the server returns from a vacation. While the busy server may breakdown at any instant and the service channel may fail for a short interval of time. The steady state probability generating function for the system size is obtained by using the supplementary variable method. Numerical illustrations are discussed to see the effect of the system parameters.

Analysis on preemptive priority retrial queue with two types of customers, balking, optional re-service, single vacation and service interruption

Abstract: This paper concerned with performance analysis of single server preemptive priority retrial queue with a single vacation where two types of customers are considered and they are called priority customers and ordinary customers. The ordinary customers arrive in batch into the system. The priority customers do not form any queue. After the completion of regular service, the customers may demand re-service for the previous service without joining the orbit or may leave the system. As soon as the system is empty, the server goes for vacation and the regular busy server can be subjected to breakdown. By using the supplementary variable technique, we obtain the steady-state probability generating functions for the system/orbit size. Some important system performance measures and the stochastic decomposition are discussed. Finally, numerical examples are presented to visualize the effect of parameters on system performance measures.

An Unreliable Optional Stage M X ∕ G ∕1 Retrial Queue with Immediate Feedbacks and at most J Vacations

Abstract: A repeated attempt queue with multistages of service and almost J vacations is investigated. Balking (or reneging) is applicable for customers. If the orbit is empty at service accomplishment time, the server takes at most J vacations. Busy server may fail for a short interval of time. Using supplementary variable technique, the steady results are deduced.

Steady-State Analysis of Unreliable Preemptive Priority Retrial Queue with Feedback and Two-Phase Service Under Bernoulli Vacation

Abstract: This article discusses the concepts of preemptive priority retrial queue with two-phase service, feedback, and Bernoulli vacation for an unreliable server, which consists of breakdown period. The queue involves two types of customers, known as priority and ordinary customers. The server provides first essential service and second essential service to the arriving customers or customers from the orbit. The server takes Bernoulli vacation, when an orbit becomes empty. The supplementary variable technique is used to obtain the steady-state probability generating functions for the system/orbit and some important system performance measures.

An M/G/1 retrial G-queue for balking, reneging, subject to modified Bernoulli vacation, starting failure

Abstract: A study of retrial G-queue with balking and reneging, subject to modified Bernoulli server vacation, starting failure is analyzed. The positive arrival in the service area follows Poisson stream. When the assistance is inactive, one of the positive arrivals comes for service and the remaining add into the retrial group. During the assistance period of a positive customer, the arrival of the negative customer will eliminate the positive occurrence in-service they come in a retrial group and make an effort next time. Balking (or reneging) may occur during the entry of positive customers with probability 1-b and leaves the service area at specific times with probability b. To proceed further at the end of assistance for each positive arrivals, the server goes for vacation accompanying probability a and remains in the service area for assisting the next arrivals accompanying probability 1-a. The entire equations, solved by applying supplementary variable method to predict system capacity, orbit size are obtained. Further Performance features and several special cases of this suggested model are presented and arrived through MATLAB.

A study on M/G/1 feedback retrial queue with subject to server breakdown and repair under multiple working vacation policy

Abstract: In this paper, we consider a single server feedback retrial queueing system with multiple working vacations and vacation interruption. An arriving customer may balk the system at some particular times. As soon as orbit becomes empty at regular service completion instant, the server goes for a working vacation. The server works at a lower service rate during working vacation (WV) period. After completion of regular service, the unsatisfied customer may rejoin into the orbit to get another service as feedback customer. The normal busy server may get to breakdown and the service channel will fail for a short interval of time. The steady state probability generating function for the system size is obtained by using the supplementary variable method. Some important system performance measures are obtained. Finally, some numerical examples and cost optimization analysis are presented.

Analysis of a single server batch arrival unreliable queue with balking and general retrial time

Abstract: This paper deals with a batch arrivals queue with general retrial time, breakdowns, repairs and reserved time Here we assume that customers arrive according to compound Poisson processes Any arri