Empirical studies showed that many types of network traffic exhibit long-range dependence (LRD),i.e., burstiness on a wide variety of time-scales. Given that traffic streams are indeed endowed withLRD properties, a next question is: what is their impact on network performance? To assess...

We consider a queue fed by a large number, say n, of on-off sources with generally distributed on-and off-times. The queueing resources are scaled by n: the buffer is B=nb and link rate is C=nc.The model is versatile: it allows us to model both long range dependent traffic (by using heavy-tailed...

The present investigation deals with the transient analysis of Markovian queue model with multi stage service. Here, current analysis deals with M/M/1 queueing model with finite capacity. The arrival of the customer in the system follows Poisson process and the customers are served following...

Profit optimization imperative for any business. The businesses that are dealing with lots of stochastic variables he challenges become severe. Almost all of the business situations can be presented through a mathematical model. In this paper, the functioning of a financial institution such as...

Ticket queues arise often in public and private sector operations. The service providers in ticket queues have limited information on customer abandonments because abandonment time data is interval censored. The censored nature of data poses challenges in modeling and analysis of abandonments...

We present a Markov model to approximate the queueing behavior at the G(t)/G(t)/s(t)+G(t) queue with exhaustive discipline and abandonments. The performance measures of interest are: (1) the average number of customers in queue, (2) the variance of the number of customers in queue, (3) the...

This paper develops a new method for computing the stationary distribution and steady-state performance measures of stochastic systems that can be described as a continuous-state Markov chain supported on R. The balance equations are solved by constructing a proxy Markov chain with finite...