This paper reviews the evolution of queueing networks software and its use in manufacturing. In particular, we will discuss two different groups of software tools. First, there are queueing networks software packages which require a good level of familiarity with the theory. In the other hand, there are some packages designed for manufacturing where the model development process is automated. I...

Queueing theory has provided the basis for remarkable successes in the performance modeling and analysis of computer systems.6,19,21 Because it is clear that computer systems do not satisfy assumptions made by the stochastic process models that are used, this success has been somewhat puzzling; it appears that queueing theory equations have wider applicability than is suggested by their classic...

Fairness is an inherent and fundamental factor of queue service disciplines in a large variety of queueing applications, ranging from airport and supermarket waiting lines to computer and communication queueing systems. Recent empirical studies show that fairness is highly important to queueing customers in practical scenarios. Despite this importance, queueing theory has devoted very little ef...

Fairness is an inherent and fundamental factor of queue service disciplines in a large variety of queueing applications, ranging from airport and supermarket waiting lines to computer and communication queueing systems. Recent empirical studies show that fairness is highly important to queueing customers in actual situations. Despite this importance, queueing theory has devoted very little effo...

The paper shows that the theory of generalised invariant subspace and matrix sign function can be applied to computing steady state distribution of QBD-M queueing system. This queueing system is an appropriate and useful modeling tool for system analysis and performance evaluation in computer and telecommunications network field. Moreover, this computational method is evaluated in comparison wi...

The purpose of this research in the queueing theory is the theorem about the law of the iterated logarithm in multiphase queueing systems and its application to the mathematical model of the message switching system. First the law of the iterated logarithm is proved for the cumulative idle time of a customer. Finally we present an application of the proved theorem for the model of the message s...

This note describes a simulation experiment involving nine exponential queues in series with a non-Poisson arrival process, which demonstrates that the heavy-traffic bottleneck phenomenon can occur in practice (at reasonable traffic intensities) as well as in theory (in the limit). The results reveal limitations in customary two-moment approximations for open queueing networks. queues * open qu...

Abstract: The object of this research in the queueing theory is the FunctionalStrong-Law-ofLarge-Numbers (FSLLN) under the conditions of heavy traffic in Multiphase Queueing Systems (MQS). A FSLLN is known as fluid limit or fluid approximation. In this paper, the FSLLN is proved for values of important probabilistic characteristics of the MQS investigated as well as the summary queue length of ...

Much that is essential in modern life would not be possible without queueing theory. All communication systems depend on the theory including the Internet. In fact, the theory was developed at the time that telephone systems were growing and requiring more and more sophistication to manage their complexity. Much of the theory was developed by Agner Krarup Erlang (1878-1929). He worked for Copen...

Abstract We investigate the 36-year history of research published in journal Queueing Systems: Theory and Applications (QUESTA), to uncover trends over time topics themes covered as well authorship, co-authorship, institutional affiliation. Our analysis includes three different approaches. First, we conduct a content titles abstracts using selected keywords examine models , methods concepts app...