We deal with a two-queue model with mixed exhaustive and gated-type K-limited services. This model can achieve various degrees of priority in each queue by varying the value of K. Analyzing the model by using the delay cycle technique, we obtain the Laplace-Stieltjes transforms of the waiting time distributions for both cases with zero and non-zero walking times.

Delay or queue length information has the potential to influence the decision of a customer to use a service system. Thus, it is imperative for service system managers to understand how the information that they provide will affect the performance of the system. To this end, we construct and analyze two two-dimensional deterministic fluid models that incorporate customer choice behavior based o...

For the GI0GI01 queue we show that the scaled queue size converges to reflected Brownian motion in a critical queue and converges to reflected Brownian motion with drift for a sequence of subcritical queuing models that approach a critical model+ Instead of invoking the topological argument of the usual continuousmapping approach, we give a probabilistic argument using Skorokhod embeddings in B...

Abstract This paper considers a parallel queueing model with two servers, where arriving customers join the shortest queue. In [14], we studied a similar queueing model, and obtained the tail decay rate of the stationary distribution by using the matrix analytic approach. The main objectives of this paper are to extend the result in [14] to a more general model, and to clarify difficulty when w...

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...

One of the most important issues in the plant layout design especially in mass production organizations with high inter-plant logistics is‘material flow and inter-plant traffic analysis and its effects on the production capabilities or pauses in production lines. In this paper the inter-plant traffic analysis issue on the basis of single channel queue model (M/M/1) is analyzed in a carmaker c...

This paper presents two algorithms to analytically approximate work in process (WIP)-dependent inter-departure times for tandem queues composed of a series of M/M/1 systems. The first algorithm is used for homogeneous tandem queues, the second for such with bottlenecks. Both algorithms are based on the possible combinations of distributing the WIP on the queues. For each combination the time to...

Understanding how delayed information impacts queueing systems is an important area of research. However, much of the current literature neglects one important feature of many queueing systems, namely non-stationary arrivals. Non-stationary arrivals model the fact that customers tend to access services during certain times of the day and not at a constant rate. In this paper, we analyze two two...

Title of Dissertation: MULTIFRACTAL INTERNET TRAFFIC MODEL AND ACTIVE QUEUE MANAGEMENT Jia-Shiang Jou, Doctor of Philosophy, 2003 Dissertation directed by: Professor John S. Baras Department of Electrical and Computer Engineering We propose a multilevel (hierarchical) ON/OFF model to simultaneously capture the mono/multifractal behavior of Internet traffic. Parameter estimation methods are deve...

In recent years, AQM (Active Queue Management) mechanisms, which support the end-to-end congestion control mechanism of TCP (Transmission Control Protocol), have been widely studied. The AQM mechanism is a congestion control mechanism at a router to control its queue length by actively discarding arriving packets. Many AQM mechanisms such as RED (Random Early Detection) have been proposed. Howe...