Xiaoming Zhu Joseph M. Kahn University of California Department of Electrical Engineering and Computer Sciences 307 Cory Hall Berkeley, California 94720-1772 E-mail: [email protected] Abstract. Buffering with optical delay lines (ODLs) in optical packetswitching networks is a way to mitigate network contention. We study queueing models of ODLs in synchronous and asynchronous optical packe...

Queuing theory is the study of queues for managing process and objects. In this paper we analyze various models of the Single server queuing system with.Single-sever service node consists of a server plus its queue. If only one service technician, the machine shop model from section 1. 1 is a single-server queue.Queueing theory is the mathematical study of waiting lines, or queues. The MM1 queu...

We describe some approaches to the synthesis of optimal policies for multiclass queueing network models based upon the close connection between stability of queueing networks and their associated fluid limit models. It is found that there is also a close connection between optimization of the network and optimal control of the far simpler fluid network model. This observation leads to a new cla...

We describe some approaches to the synthesis of optimal policies for multiclass queueing network models based upon the close connection between stability of queueing networks and their associated uid limit models. It is found that there is also a close connection between optimization of the network and optimal control of the far simpler uid network model. This observation leads to a new class o...

The variety of priority queueing systems with random switchover times is suggested in this paper. Such systems represent generalized models for a wide class of phenomena which involve queueing and prioritization and are considered in QoS and CoS network problems. The classification of such systems is given and methods of their analysis are discussed. Specialists in QoS and CoS technologies may ...

The article presents a diffusion approximation model of a G/G/N/N station – N parallel servers without queueing. Diffusion approximation allows us to include in queueing models fairly general assumptions. First of all it gives us a tool to consider in a natural way transient states of queues, which is very rare in classical queueing models. Then we may consider input streams with general intera...

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...

Many real-life phenomena, such as computer systems, communication networks, manufacturing systems, supermarket checkout lines as well as structural military systems can be represented by means of queueing models. Looking at queueing models, a controller may considerably improve the system’s performance by reducing queue lengths, or increasing the throughput, or diminishing the overhead, whereas...