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.

Steady state analysis of batch arrival feedback retrial queue with two phases of service, negative customers, Bernoulli vacation and server breakdown

Abstract: In steady state, a batch arrival feedback retrial queue with negative customers has been discussed. 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 join into the orbit/retrial group, where the server provides two essential phases of service to each positive customer. The negative customer, arriving during the service time of a positive customer, will remove the positive customer in-service and the interrupted positive customer either enters into the orbit with probability θ or leaves the system with probability 1-θ. The busy server may breakdown at any instant 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. Numerical illustrations are analysed to see the effect of system parameters.

Analysis of an M/G/1 feedback retrial queue with unreliable server, non-persistent customers, single working vacation and vacation interruption

Abstract: In this paper, we consider a single server feedback retrial queueing system with single working vacation and vacation interruption. An arriving customer may balk (or renege) the system at some particular times. The single server provides two essential phases of regular service to each customer. When the orbit becomes empty at service completion instant; the server goes for a single working vacation. In working vacation period, the server works in lower service rate. The regular busy server may breakdown at any instance and the service channel will fail for a short interval of time. Using the method of supplementary variable technique, the steady state probability generating function for the system/orbit size is obtained. Some important system performance measures and the mean busy period are obtained. The conditional decomposition law is shown for this retrial queueing system. Finally, the effects of various parameters on the system performance are analysed numerically.

Analysis of M X / G /1 feedback queuewith two-phase service, compulsory server vacation and random breakdowns

Abstract: This paper investigates a batch arrival queueing system with two-phase heterogeneous service under compulsory vacation schedule Upon arrival any batch that finds the server busy, on vacation or under repair joins the queue Otherwise one customer from the arriving batch enters the server for service immediately while the rest join the queue After completion of the second phase of service for each customer, the server goes for a vacation Busy servers are interrupted by breakdowns and repair has to be done to resume service If a customer is unsatisfied with his service he is allowed to join the tail of the queue as a feedback customer We construct the mathematical model and derive the probability generating functions of transient state probabilities in terms of their Laplace transforms The steady state distributions of the server state are deduced and the average number of customers in the system, the mean waiting time of a customer are obtained Particular cases of interest of the model are discussed in order to verify the results Numerical computations are provided to visualize the effect of parameters on system performance measures and also to validate our analytical results

An M/G/1 retrial queueing system with two phases of service, immediate Bernoulli feedbacks, single vacation and starting failures

Abstract: This paper analyses an M/G/1 retrial queueing system with second multi-optional services and immediate Bernoulli feedbacks, where the server is subject to starting failure and repair. An arriving customer, who finds the server busy, breakdown or on vacation enters an orbit; otherwise the arriving customer enters into service area. Upon completion of both phases of service in the first round if the customer desires to make a feedback, the customer immediately proceeds for a second round of service. The customer is allowed to make a finite number of such feedbacks before departing from the system. After the completion of both phases of service, if the orbit becomes empty, the server goes for a single vacation. We derive the probability generating functions of number of customers in the orbit for different server states. Important system performance measures are obtained. The effect of various parameters on the system performance are analysed numerically.

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