The modern queueing theory is one of the powerful tools for a quantitative and qualitative analysis of communication systems, computer networks, transportation systems, and many other technical systems. In this paper, we deal with approximations of multiphase queueing systems (tandem queues, queues in series). Multiphase queueing systems are of special interest both in theory and in practical a...

A. Udaya Shankar June 5, 1995

Many organizations, such as banks, airlines, telecommunications companies, and police departments, routinely use queueing models to help manage and allocate resources in order to respond to demands in a timely and costefficient fashion. Though queueing analysis has been used in hospitals and other healthcare settings, its use in this sector is not widespread. Yet, given the pervasiveness of del...

OBJECTIVES This research used queueing theory to analyze changes in outpatients' waiting times before and after the introduction of Electronic Medical Record (EMR) systems. METHODS We focused on the exact drawing of two fundamental parameters for queueing analysis, arrival rate (λ) and service rate (µ), from digital data to apply queueing theory to the analysis of outpatients' waiting times. ...

Traffic congestion is a phenomenon of increased disruption of the traffic movement. In India, with increasing vehicles on the road, traffic congestion is quickly increasing. Much has been written about the queueing theory technique and its powerful application. This paper is an attempt to analyze the contribution and application of queueing theory in the field of traffic congestion. For this Bh...

Integrating a product of linear forms over the unit simplex can be done in polynomial time if the number of variables n is fixed [1]. In this note, we highlight that this problem is equivalent to obtaining the normalizing constant of state probabilities for a popular class of Markov processes used in queueing network theory. In light of this equivalence, we survey existing computational algorit...

This paper deals with queueing theory and analysis of probability curves of pure birth model. Starting with historical back grounds and important concepts of queueing theory, we obtained a relation to find time “t” where we get highest probability for arrivals which follow Poission probability distribution.

Queueing networks are important models of complex systems, such as packet routing networks, manufacturing systems, and time shared computer systems. In this paper, we investigate the question of stability of multiclass queueing networks within the adversarial queueing theory model, where workload is induced by an adversary. Prior work in the adversarial model considers only a special case of qu...