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The Structural Cause of File Size Distributions

by Allen B. Downey , 2001
"... We propose a user model that explains the shape of the distribution of file sizes in local file systems and in the World Wide Web. We examine evidence from 562 file systems, 38 web clients and 6 web servers, and find that this model is an accurate description of these systems. We compare this model ..."
Abstract - Cited by 90 (1 self) - Add to MetaCart
We propose a user model that explains the shape of the distribution of file sizes in local file systems and in the World Wide Web. We examine evidence from 562 file systems, 38 web clients and 6 web servers, and find that this model is an accurate description of these systems. We compare this model

On the tails of web file size distributions

by Weibo Gong, Yong Liu, Vishal Misra, Don Towsley - in: Proceedings of 39th Allerton Conference on Communication, Control, and Computing , 2001
"... Power laws have been observed in various contexts in the Internet. There has been considerable interest in identifying the mechanisms behind these power laws. Most of these have focused on the tail behavior of the distributions. We argue that the the tails and their asymptotic behavior is very hard ..."
Abstract - Cited by 27 (2 self) - Add to MetaCart
Power laws have been observed in various contexts in the Internet. There has been considerable interest in identifying the mechanisms behind these power laws. Most of these have focused on the tail behavior of the distributions. We argue that the the tails and their asymptotic behavior is very hard

File Size Distribution on UNIX Systems—Then and Now

by Andrew S. Tanenbaum, Jorrit N. Herder, Herbert Bos
"... Knowledge of the file size distribution is needed to optimize file system design. In particular, if all the files are small, the disk block size should be small, too, to avoid wasting too large a fraction of the disk. On the other hand, if files are generally large, choosing a large block size is go ..."
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Knowledge of the file size distribution is needed to optimize file system design. In particular, if all the files are small, the disk block size should be small, too, to avoid wasting too large a fraction of the disk. On the other hand, if files are generally large, choosing a large block size

Stochastic stability under network utility maximization: General file size distribution

by Mung Chiang, Devavrat Shah, Ao Tang - In Proceedings of Allerton.[5 , 2006
"... We prove the stochastic stability of resource allocation under Network Utility Maximization (NUM) under general arrival process and file size distribution with bounded support, for α-fair utilities with α sufficiently small and possibly different for different sources ’ utility functions. In additio ..."
Abstract - Cited by 8 (1 self) - Add to MetaCart
We prove the stochastic stability of resource allocation under Network Utility Maximization (NUM) under general arrival process and file size distribution with bounded support, for α-fair utilities with α sufficiently small and possibly different for different sources ’ utility functions

A Study of Irregularities in File-Size Distributions

by Kylie M. Evans, Geoffrey H. Kuenning - In International Symposium on Performance Evaluation of Computer and Telecommunication Systems (SPECTS ’02 , 2002
"... Understanding file sizes is critical to designing and evaluating filesystems. To uncover the effects of audio and video on the distributions found by previous studies, we gathered and analyzed data from a number of different systems at a small undergraduate institution, and attempted to fit curves t ..."
Abstract - Cited by 12 (0 self) - Add to MetaCart
Understanding file sizes is critical to designing and evaluating filesystems. To uncover the effects of audio and video on the distributions found by previous studies, we gathered and analyzed data from a number of different systems at a small undergraduate institution, and attempted to fit curves

Stochastic stability under fair bandwidth allocation: General file size distribution

by Mung Chiang, Devavrat Shah, Ao Tang - In Proceedings of the 44th Allerton Conference 899–908 , 2006
"... Abstract — We prove the stochastic stability of resource allocation under Network Utility Maximization (NUM) under general arrival process and file size distribution with bounded support, for α-fair utilities with α sufficiently small and possibly different for different sources ’ utility functions. ..."
Abstract - Cited by 4 (2 self) - Add to MetaCart
Abstract — We prove the stochastic stability of resource allocation under Network Utility Maximization (NUM) under general arrival process and file size distribution with bounded support, for α-fair utilities with α sufficiently small and possibly different for different sources ’ utility functions

A Brief History of Generative Models for Power Law and Lognormal Distributions

by Michael Mitzenmacher - INTERNET MATHEMATICS
"... Recently, I became interested in a current debate over whether file size distributions are best modelled by a power law distribution or a a lognormal distribution. In trying ..."
Abstract - Cited by 414 (7 self) - Add to MetaCart
Recently, I became interested in a current debate over whether file size distributions are best modelled by a power law distribution or a a lognormal distribution. In trying

Stability of networks under general file size distribution with alpha fair rate allocation

by Fernando Paganini , Ao Tang , Andrés Ferragut , Lachlan L H Andrew - in Proc. Allerton Conf , 2009
"... Abstract-Convex optimization has been widely used to model bandwidth allocation policies among TCP flows in the Internet. When the offered load is less than capacity, stochastic stability of networks using such policies has been established for exponentially distributed file sizes. The problem has ..."
Abstract - Cited by 3 (2 self) - Add to MetaCart
Abstract-Convex optimization has been widely used to model bandwidth allocation policies among TCP flows in the Internet. When the offered load is less than capacity, stochastic stability of networks using such policies has been established for exponentially distributed file sizes. The problem has

Generating Representative Web Workloads for Network and Server Performance Evaluation

by Paul Barford, Mark Crovella , 1997
"... One role for workload generation is as a means for understanding how servers and networks respond to variation in load. This enables management and capacity planning based on current and projected usage. This paper applies a number of observations of Web server usage to create a realistic Web worklo ..."
Abstract - Cited by 944 (11 self) - Add to MetaCart
workload generation tool which mimics a set of real users accessing a server. The tool, called Surge (Scalable URL Reference Generator) generates references matching empirical measurements of 1) server file size distribution; 2) request size distribution; 3) relative file popularity; 4) embedded file

Network Stability Under Alpha Fair Bandwidth Allocation With General File Size Distribution

by Fernando Paganini, Ao Tang, Andrés Ferragut, Lachlan L. H. Andrew , 2012
"... Rate allocation among a fixed set of end-to-end connections in the Internet is carried out by congestion control, which has a well established model: it optimizes a concave network utility, a particular case of which is the alpha-fair bandwidth allocation. This paper studies the slower dynamics of ..."
Abstract - Cited by 3 (0 self) - Add to MetaCart
file-sizes. The conjecture that the result holds for general file-size distributions has remained open, and is very rel-evant since heavy-tailed distributions are often the best models of Internet file sizes. In this paper, building on existing fluid models of the system, we use a partial differential
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