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Foreword
The complexity of computer systems, networks and applications, as well as the advancements in computer technology, continue to grow at a rapid pace. Mathematical analysis, modeling and optimization have been playing, and continue to play, an important ...
Poisson-noise removal in self-similarity studies based on packet-counting: factorial-moment/strip-integral approach
In this work we point out that some common methods for estimating self-similarity parameters -- involving packet counting for the estimate of statistical moments -- are affected by distortion at the finest resolutions and quantization errors and we ...
Fair bandwidth sharing under flow arrivals/departures: effect of retransmissions on stability and performance
A flow-level Markov model for fair bandwidth sharing with packet retransmissions and random flow arrivals/departures is proposed. The model accounts for retransmissions by assuming that file transfer rates are determined by the end-to-end goodputs ...
Accuracy of measured throughputs and mean response times
The performance of computer systems such as Web systems is measured to guarantee quality of service (QoS) or to compare difference configurations of the systems [8]. We consider the problem of whether we should measure mean response time or throughput ...
The effect of higher moments of job size distribution on the performance of an M/G/s queueing system
The M/G/s queueing system is the oldest and most classical example of multiserver systems. Such multiserver systems are commonplace in a wide range of applications, ranging from call centers to manufacturing systems to computer systems, because they are ...
Modeling of an online TV recording service
Recently, new services have emerged which utilize the Internet as a delivery mechanism for multimedia content. With the advent of broadband accesses, more users are willing to download large volume content from servers, such as video files of TV shows. ...
An overview of tractable computation of optimal scheduling and routing in mesh networks
Capacity optimization by optimizing transmission schedules of wireless networks has been an active area of research for at least 20 years. The challenge is that the space over which the optimization is performed is exponential in the number of links in ...
Exponential supermartingales for evaluating end-to-end backlog bounds
A common problem arising in network performance analysis with the stochastic network calculus is the evaluation of (min, +) convolutions. This paper presents a method to solve this problem by applying a maximal inequality to a suitable constructed ...
Insensitivity for PS server farms with JSQ routing
Join-the-Shortest-Queue (JSQ) is a very old and popular routing policy for server farms. Figure 1 shows two examples of server farm architectures employing JSQ routing. In both cases, each incoming job is immediately dispatched, via a front-end router, ...
Characterization of moments and autocorrelation in MAPs
Markovian Arrival Processes (MAPs) [9] are a general class of point processes which admits, hyper-exponential, Erlang, and Markov Modulated Poisson Processes (MMPPs) as special cases. MAPs can be easily integrated within queueing models. This makes MAPs ...
Approximate analysis of a network of fluid queues
Fluid models have for some time been used to approximate stochastic networks with discrete state. These range from traditional 'heavy traffic' approximations to the recent advances in bio-chemical system models. Here we use an approximate compositional ...
The time-correlated update problem
Recent advances in the fields of sensor networks and mobile robotics have provided the means to place monitoring/sensing equipment in an increasingly wide variety of environments - a significant proportion of which can reasonably be expected to lack ...
Product form stationary distributions for diffusion approximations to a flow-level model operating under a proportional fair sharing policy
We consider a flow-level model of Internet congestion control introduced by Massoulié and Roberts [2]. We assume that bandwidth is shared amongst elastic documents according to a weighted proportional fair bandwidth sharing policy. With Poisson arrivals ...
Optimal capacity planning in stochastic loss networks
A large number of application areas involve resource allocation problems in which resources of different capabilities are used to provide service to various classes of customers at their arrival instants, otherwise the opportunity to serve the customer ...
Comparison of the three CPU schedulers in Xen
The primary motivation for enterprises to adopt virtualization technologies is to create a more agile and dynamic IT infrastructure -- with server consolidation, high resource utilization, the ability to quickly add and adjust capacity on demand -- ...