Chandrasekaran V M

Bio: Chandrasekaran V M is an academic researcher from VIT University. The author has an hindex of 1, co-authored 2 publications receiving 4 citations.

A Single Server Queue with Immediate Feedback, Working Vacation and Server Breakdown

Abstract: This paper deals with analyze of a single server queueing system with immediate feedbacks and working vacation. Upon arrival if the customer sees the server to be busy then it joins the tail end of queue. Otherwise if server is idle, the customer gets into service. After completion of service, the customer is allowed to make an immediate feedback in finite number. Busy server may fail for a short interval of time. Using supplementary variable technique the steady state results are deduced. Some system performance measures are discussed

A Statistical Study on Impact of Facebook Usage of Engineering Students at VIT

Abstract: This study aims to find the influence that Facebook plays as a social networking medium on engineering students at an undergraduate level in VIT, Vellore. Facebook, a prominent online social media and networking site was founded and launched in 2004 by Mark Zuckerberg. Facebook has been under the scanner to study the influence it has on human emotional health, social life and mental health. Facebook has grown to become one of the most prevalent Social Networking Sites (SNS) in this era. A lot of previous studies have tried to study the role Facebook has played not only on students or adolescents but also on adults and all. During this study, we have tried to see the role that Facebook plays in an engineering undergraduate student’s life especially the extent to which it affects the students’ academic performance. Various studies have shown that Facebook plays a major role in influencing emotions, moods and attitudes of students. We aim to understand the role that Facebook plays buy administering a survey amongst students in the University and analyse the extent to which students are affected by using it. The survey constituted of 16 questions and was administered to about 250 respondents belonging to the undergraduate engineering student pool. The method of sampling done was simple random sampling and data analysis was done using SPSS.

Performance and economic analysis of a single server feedback queueing model with vacation and impatient customers

Abstract: In this investigation, a single server M/M/1/N feedback queueing system with vacation, balking, reneging and retention of reneged customers is analyzed. By considering the mathematical modeling, we derive the steady state probabilities of the number of customers in the system. We obtain important measures of effectiveness of the model by using the stationary distribution, and develop a cost model of the queueing system. Further, a numerical study and a cost profit analysis are carried out.

Optimum cost analysis for an Geo/Geo/c/N feedback queue under synchronous working vacations and impatient customers

Abstract: This paper concerns the cost optimisation analysis of a discrete-time finite-capacity multiserver queueing system with Bernoulli feedback, synchronous multiple and single working vacations, balking, and reneging during both busy and working vacation periods. A reneged customer can be retained in the system by employing certain persuasive mechanism for completion of service. Using recursive method, the explicit expressions for the stationary state probabilities are obtained. Various system performance measures are presented. Further, a cost model is formulated. Then, the optimization of the model is carried out using quadratic fit search method (QFSM). Finally, the impact of various system parameters on the performance measures of the queueing system is shown numerically.

Impatient customers in Markovian queue with Bernoulli feedback and waiting server under variant working vacation policy

Abstract: This paper deals with customers’ impatience behaviour for single server Markovian queueing system under K-variant working vacation policy, waiting server, Bernoulli feedback, balking, reneging, and retention of reneged customers. Using the probability generating function (PGF) technique, we obtain the steady-state solution of the system. Besides, we prove the stochastic decomposition properties. Useful performance measures of the considered queueing system are derived. A cost model is developed. Then, the parameter optimisation is carried out numerically, using a quadratic fit search method (QFSM). Finally, numerical examples are provided to visualise the analytical results.

Preemptive Priority Markovian Queue Subject to Server Breakdown with Imperfect Coverage and Working Vacation Interruption

Abstract: This work considers a preemptive priority queueing system with vacation, where the single server may break down with imperfect coverage. Various combinations of server vacation priority queueing models have been studied by many scholars. A common assumption in these models is that the server will only resume its normal service rate after the vacation is over. However, such speculation is more limited in real-world situations. Hence, in this study, the vacation will be interrupted if a customer waits for service in the system at the moment of completion of service during vacation. The stationary probability distribution is derived by using the probability generating function approach. We also develop varieties of performance measures and provide a simple numerical example to illustrate these measures. Optimization analysis is finally carried out, including cost optimization and tri-object optimization.