In this paper we consider a queuing system in which the service times of customers are independent and identically distributed random variables, the arrival process is stationary and has the property of orderliness, and the queue discipline is arbitrary. For this queuing system we obtain the steady state second moment of the queue size in terms of the stationary waiting time distribution of a s...

BACKGROUND Changes in patient length of stay (the duration of 1 clinic visit) as a result of the introduction of an electronic patient file system forced an anesthesia department to change its outpatient clinic organization. In this study, we sought to demonstrate how the involvement of essential employees combined with mathematical techniques to support the decision-making process resulted in ...

The potential benefit from introducing trajectory based operations into the NAS is estimated in this paper. Delay predictions of a stochastic and a deterministic queuing model, which represent high and low levels of trajectory uncertainty, are compared. It is found that delay savings are on the order of 35% in the average case, Delay predictions from the various models are found to be strongly ...

This paper deals with the delay analysis of the traffic within the UMTS Terrestrial Radio Access Network (UTRAN). Delay is a very important Quality of Service aspect in the UTRAN. Especially, the delay over the Iub link is the major limited factor for the dimensioning of the UTRAN. Based on the system analysis, a queuing model is proposed in this paper to derive the delay time over the Iub inte...

Understanding queuing dynamics of TCP is important for correct router buffer sizing as well as for optimizing the performance of the TCP protocol itself. However, modeling of buffer content dynamics under TCP has received relatively little attention given its importance. Commonly used queuing models are based on overly simplistic assumptions about the packet arrival process. As a consequence, t...

It is practically significant to research the traffic flow of intersection because the capacity of intersection affects the efficiency of highway network directly. This paper analyzes the traffic conditions of an intersection in certain urban by the methods of queuing theory and statistical experiment, sets up a corresponding mathematical model and compares it with the actual values. The result...

We present a new hybrid approach to performance management, combining disparate strengths of Reinforcment Learning (RL) with model-based (e.g. queuing-theoretic) approaches. Our method trains nonlinear function approximators using offline RL on data collected while a model-based policy controls the system. By training offline we avoid potentially poor performance in live online training, while ...

How to properly assign system resources to satisfy the Service Level Agreement (SLA) is a challenging research problem. Previous approaches include queuing model based feedback control strategies with queuing predictor for feed-forward delay prediction. However, ignorance of the multi-threaded nature can induce large model errors. To compensate this, previous approaches typically perform offlin...

-The performance in terms of reliability of multi-server computer networks motivates this paper. The probability limit theorem is derived on the virtual waiting time of job in nodes in a multi-server open queueing network and applied to a reliability model for multi-server computer networks where we relate the time of failure of a multi-server computer network to the system parameters. Key-Word...

In this article, modeling in queuing systems with heavy traffic customer flows is reviewed. Key areas include their limiting distributions, asymptotic behaviors, modeling issues and applications. Heavy traffic flows are features of queuing in modern communications, transportation and computer systems today. Initially, we reviewed the onset of asymptotic modeling for heavy traffic single server ...