Priority queues have a great importance in the study of computer communication networks in which different types of traffic require different quality of service standards. The discrete-time non-preemptive priority queuing model with priority jumps is proposed in this paper. On the basis of probability generating functions mean system contents and mean queuing delay characteristics are obtained....

Clustering parts and machines into part families and machine cells is a major decision in the design of cellular manufacturing systems which is defined as cell formation. This paper presents a non-linear mixed integer programming model to design cellular manufacturing systems which assumes that the arrival rate of parts into cells and machine service rate are stochastic parameters and descri...

Most of the real life multi server queuing systems have heterogeneous servers which means each service rates are different than each other. Analysis of such queuing system plays important role to improve performance. In this report, I have summarized analysis of heterogeneous multi server queuing system which has a finite and an infinite buffer. Average waiting time and average queue length are...

In this paper, we investigate the fuzzy logic based system characteristics of MX/G/1 retrial queuing system with Bernoulli vacation schedule. The service time and vacation time are assumed to be generally distributed. It is found in many practical situations that the queuing models with fuzzy parameters are much more realistic than the classical crisp parameters based queuing models. We have...

Today’s Internet only provides Best Effort Service. Traffic is processed as quickly as possible, but there is no guarantee of timelines or actual delivery. With the rapid transformation of the Internet into a commercial infrastructure, demands for service quality have rapidly developed. People of the modern world are very much dependent on various network services like VOIP, Videoconferencing a...

This paper is concerned with a problem of control in the queuing systems. Rather than deal with mean waiting time or average queue length, which is the most often used approach to this problem, it concentrates on transient states and minimizing probability of long queue. First a model of a queuing system with controlled service intensity is analyzed. Subsequently, a system with multiple service...

Queuing models provide an attractive and highly-efficient alternative to simulation for quantifying traffic flow efficiency. Stationary Markovian queuing models in which both inter-arrival times and service times are exponentially distributed have been studied by the National Airspace System (NAS). However, stationary queues cannot account for peaks and valleys in demand that are commonly obser...