Stochastic Analysis of Computer Storage

Introductory descriptions of such devices can be found in any introductory text on computer architecture. The research on storage systems not covered by this book is, in the main, concerned with either archival storage problems or the ...

Stochastic Analysis of Computer Storage

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Fother 'The Hennit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GWs The Chinese More Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Stochastic Analysis of Computer Storage

Approach your problems from the right end It isn't that they can't see the solution.

Stochastic Analysis of Computer Storage

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Fother 'The Hennit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GWs The Chinese More Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Computer System Performance Modeling in Perspective

Second, a general nearly completely decomposable model of parallel program memory reference behavior was formulated, and a stochastic analysis of this model was derived. Our results included probability measures of the total memory ...

Computer System Performance Modeling in Perspective

Computer system performance evaluation is a key discipline for the understanding of the behavior and limitations of large scale computer systems and networks. This volume provides an overview of the milestones and major developments of the field. The contributions to the book include many of the principal leaders from industry and academia with a truly international coverage, including several IEEE and ACM Fellows, two Fellows of the US National Academy of Engineering and a Fellow of the European Academy, and a former President of the Association of Computing Machinery. Sample Chapter(s). Chapter 1: Ken Sevcik as an Advisor and Mentor (252 KB). Contents: Ken Sevcik as an Advisor and Mentor (E Lazowska et al.); Shadow Servers and Priority Scheduling (J P Buzen); On the Chronology of Dynamic Allocation Index Policies: The Pioneering Work of K C Sevcik (E Coffman); Operational Analysis (P J Denning); Function Approximation by Random Neural Networks with a Bounded Number of Layers (E Gelenbe et al.); The Achilles'' Heel of Computer Performance Modeling and the Model Building Shield (V De Nitto Person & G Lazeolla); Wireless Network Simulation: Towards a Systematic Approach (S K Tripathi et al.); Location- and Power-Aware Protocols for Wireless Networks with Asymmetric Links (G Wang et al.); Multi-Threaded Servers with High Service Time Variation for Layered Queueing Networks (G Franks et al.); Quantiles of Sojourn Times (P G Harrison & W J Knottenbelt); Asymptotic Solutions for Two Non-Stationary Problems in Internet Reliability (Y Kogan & G Choudhury); Burst Loss Probabilities in an OBS Network with Dynamic Simultaneous Link Possession (T Battestilli & H Perros); Stochastic Analysis of Resource Allocation in Parallel Processing Systems (M S Squillante); Periodic Task Cluster Scheduling in Distributed Systems (H Karatza). Readership: Graduate students, Internet engineers, computer scientists, system engineers, and computer designers. Also suitable for use in professional development seminars in computers and networks."

Computer System Performance Modeling in Perspective

Second, a general nearly completely decomposable model of parallel program memory reference behavior was formulated, and a stochastic analysis of this model was derived. Our results included probability measures of the total memory ...

Computer System Performance Modeling in Perspective

Computer system performance evaluation is a key discipline for the understanding of the behavior and limitations of large scale computer systems and networks. This volume provides an overview of the milestones and major developments of the field. The contributions to the book include many of the principal leaders from industry and academia with a truly international coverage, including several IEEE and ACM Fellows, two Fellows of the US National Academy of Engineering and a Fellow of the European Academy, and a former President of the Association of Computing Machinery. Contents:Ken Sevcik as an Advisor and Mentor (E Lazowska et al.)Shadow Servers and Priority Scheduling (J P Buzen)On the Chronology of Dynamic Allocation Index Policies: The Pioneering Work of K C Sevcik (E Coffman)Operational Analysis (P J Denning)Function Approximation by Random Neural Networks with a Bounded Number of Layers (E Gelenbe et al.)The Achilles' Heel of Computer Performance Modeling and the Model Building Shield (V De Nitto Personè & G Lazeolla)Wireless Network Simulation: Towards a Systematic Approach (S K Tripathi et al.)Location- and Power-Aware Protocols for Wireless Networks with Asymmetric Links (G Wang et al.)Multi-Threaded Servers with High Service Time Variation for Layered Queueing Networks (G Franks et al.)Quantiles of Sojourn Times (P G Harrison & W J Knottenbelt)Asymptotic Solutions for Two Non-Stationary Problems in Internet Reliability (Y Kogan & G Choudhury)Burst Loss Probabilities in an OBS Network with Dynamic Simultaneous Link Possession (T Battestilli & H Perros)Stochastic Analysis of Resource Allocation in Parallel Processing Systems (M S Squillante)Periodic Task Cluster Scheduling in Distributed Systems (H Karatza) Readership: Graduate students, Internet engineers, computer scientists, system engineers, and computer designers. Also suitable for use in professional development seminars in computers and networks. Keywords:Computer Networks;Distributed Systems;Performance Analysis of Computer Systems;Performance Control and Optimization;System Performance Evaluation;Analytic Models;Simulation Methods

Encyclopedia of Parallel Computing

(c) determining the solution of the two-dimensional priority process from a combination of these results. ... Aven OI, Coffman EG Ir, Kogan YA (1987) Stochastic analysis of computer storage. D. Reidel, Amsterdam . Babcock B, Babu S, ...

Encyclopedia of Parallel Computing

Containing over 300 entries in an A-Z format, the Encyclopedia of Parallel Computing provides easy, intuitive access to relevant information for professionals and researchers seeking access to any aspect within the broad field of parallel computing. Topics for this comprehensive reference were selected, written, and peer-reviewed by an international pool of distinguished researchers in the field. The Encyclopedia is broad in scope, covering machine organization, programming languages, algorithms, and applications. Within each area, concepts, designs, and specific implementations are presented. The highly-structured essays in this work comprise synonyms, a definition and discussion of the topic, bibliographies, and links to related literature. Extensive cross-references to other entries within the Encyclopedia support efficient, user-friendly searchers for immediate access to useful information. Key concepts presented in the Encyclopedia of Parallel Computing include; laws and metrics; specific numerical and non-numerical algorithms; asynchronous algorithms; libraries of subroutines; benchmark suites; applications; sequential consistency and cache coherency; machine classes such as clusters, shared-memory multiprocessors, special-purpose machines and dataflow machines; specific machines such as Cray supercomputers, IBM’s cell processor and Intel’s multicore machines; race detection and auto parallelization; parallel programming languages, synchronization primitives, collective operations, message passing libraries, checkpointing, and operating systems. Topics covered: Speedup, Efficiency, Isoefficiency, Redundancy, Amdahls law, Computer Architecture Concepts, Parallel Machine Designs, Benmarks, Parallel Programming concepts & design, Algorithms, Parallel applications. This authoritative reference will be published in two formats: print and online. The online edition features hyperlinks to cross-references and to additional significant research. Related Subjects: supercomputing, high-performance computing, distributed computing

A Selected Annotated Bibliography on the Analysis of Water Resource Systems

W73-14666 * STOCHASTIC PROCESSES , ECONOMICS , * STOCHASTIC PROCESSES , DATA COLLE W 73-11141 * STOCHASTIC PROCESSES ... OPT W74-00562 * STORAGE VOLUME , #ECONOMIC EFFICI W 74-01489 * STORM DRAINS , * COMPUTER MODELS , W74-03763 * STORM ...

A Selected Annotated Bibliography on the Analysis of Water Resource Systems


Probability Theory Random Processes and Mathematical Statistics

ISBN 90-277-1669-2 I.M. Stancu-Minasian: Stochastic Programming with Multiple Objective Functions. 1985, 352 pp. ... ISBN 90-277-1899-7 O.I. Aven, E.G. Coffman (Jr.) and Y.A. Kogan: Stochastic Analysis of Computer Storage. 1987,264 pp.

Probability Theory  Random Processes and Mathematical Statistics

Probability Theory, Theory of Random Processes and Mathematical Statistics are important areas of modern mathematics and its applications. They develop rigorous models for a proper treatment for various 'random' phenomena which we encounter in the real world. They provide us with numerous tools for an analysis, prediction and, ultimately, control of random phenomena. Statistics itself helps with choice of a proper mathematical model (e.g., by estimation of unknown parameters) on the basis of statistical data collected by observations. This volume is intended to be a concise textbook for a graduate level course, with carefully selected topics representing the most important areas of modern Probability, Random Processes and Statistics. The first part (Ch. 1-3) can serve as a self-contained, elementary introduction to Probability, Random Processes and Statistics. It contains a number of relatively sim ple and typical examples of random phenomena which allow a natural introduction of general structures and methods. Only knowledge of elements of real/complex analysis, linear algebra and ordinary differential equations is required here. The second part (Ch. 4-6) provides a foundation of Stochastic Analysis, gives information on basic models of random processes and tools to study them. Here a familiarity with elements of functional analysis is necessary. Our intention to make this course fast-moving made it necessary to present important material in a form of examples.

Trustworthy Computing and Services

Zhang, Y., Zhou, Y.-Z.: Separating computation and storage with storage virtualization. Computer Communications 34(13), 1539–1548 (2011) 5. Aven, I., Coffmann, E.I., Kogan, I.A.: Stochastic Analysis of Computer Storage.

Trustworthy Computing and Services

This book constitutes the refereed proceedings of the International Standard Conference on Trustworthy Distributed Computing and Services, ISCTCS 2012, held in Beijing, China, in May/June 2012. The 92 revised full papers presented were carefully reviewed and selected from 278 papers. The topics covered are architecture for trusted computing systems, trusted computing platform, trusted systems build, network and protocol security, mobile network security, network survivability and other critical theories and standard systems, credible assessment, credible measurement and metrics, trusted systems, trusted networks, trusted mobile network, trusted routing, trusted software, trusted operating systems, trusted storage, fault-tolerant computing and other key technologies, trusted e-commerce and e-government, trusted logistics, trusted internet of things, trusted cloud and other trusted services and applications.

Limit Theorems for Random Fields with Singular Spectrum

ISBN 90-277-1669-2 I.M. Stancu-Minasian: Stochastic Programming with Multiple Objective Functions. 1985, 352 pp. ... ISBN 90-277-1899-7 O.I. Aven, E.G. Coffman (Jr.) and Y.A. Kogan: Stochastic Analysis of Computer Storage. 1987,264 pp.

Limit Theorems for Random Fields with Singular Spectrum

This book presents limit theorems for nonlinear functionals of random fields with singular spectrum on the basis of various asymptotic expansions. The first chapter treats basic concepts of the spectral theory of random fields, some important examples of random processes and fields with singular spectrum, and Tauberian and Abelian theorems for covariance function of long-memory random fields. Chapter 2 is devoted to limit theorems for spherical averages of nonlinear transformations of Gaussian and chi-square random fields. Chapter 3 summarises some limit theorems for geometric type functionals of random fields. Limit theorems for the solutions of Burgers' equation with random data via parabolic and hyperbolic rescaling are demonstrated in Chapter 4. Lastly, Chapter 5 deals with some problems for statistical analysis of random fields with singular spectrum. Audience: This book will be of interest to mathematicians who use random fields in engineering or other applications.

Identification of Dynamical Systems with Small Noise

ISBN 90-277-1669-2 I.M. Stancu-Minasian: Stochastic Programming with Multiple Objective Functions. 1985, 352 pp. ... ISBN 90-277-1899-7 O.I. Aven, E.G. Coffman (Jr.) and Y.A. Kogan: Stochastic Analysis of Computer Storage. 1987, 264 pp.

Identification of Dynamical Systems with Small Noise

Small noise is a good noise. In this work, we are interested in the problems of estimation theory concerned with observations of the diffusion-type process Xo = Xo, 0 ~ t ~ T, (0. 1) where W is a standard Wiener process and St(') is some nonanticipative smooth t function. By the observations X = {X , 0 ~ t ~ T} of this process, we will solve some t of the problems of identification, both parametric and nonparametric. If the trend S(-) is known up to the value of some finite-dimensional parameter St(X) = St((}, X), where (} E e c Rd , then we have a parametric case. The nonparametric problems arise if we know only the degree of smoothness of the function St(X), 0 ~ t ~ T with respect to time t. It is supposed that the diffusion coefficient c is always known. In the parametric case, we describe the asymptotical properties of maximum likelihood (MLE), Bayes (BE) and minimum distance (MDE) estimators as c --+ 0 and in the nonparametric situation, we investigate some kernel-type estimators of unknown functions (say, StO,O ~ t ~ T). The asymptotic in such problems of estimation for this scheme of observations was usually considered as T --+ 00 , because this limit is a direct analog to the traditional limit (n --+ 00) in the classical mathematical statistics of i. i. d. observations. The limit c --+ 0 in (0. 1) is interesting for the following reasons.

Unimodality of Probability Measures

ISBN 90-277-1669-2 I.M. Stancu-Minasian: Stochastic Programming with Multiple Objective Functions. 1985, 352 pp. ... ISBN 90-277-1899-7 O.I. Aven, E.G. Coffman (Jr.) and Y.A. Kogan: Stochastic Analysis of Computer Storage. 1987, 264 pp.

Unimodality of Probability Measures

The central theme of this monograph is Khinchin-type representation theorems. An abstract framework for unimodality, an example of applied functional analysis, is developed for the introduction of different types of unimodality and the study of their behaviour. Also, several useful consequences or ramifications tied to these notions are provided. Being neither an encyclopaedia, nor a historical overview, this book aims to serve as an understanding of the basic features of unimodality. Chapter 1 lays a foundation for the mathematical reasoning in the chapters following. Chapter 2 deals with the concept of Khinchin space, which leads to the introduction of beta-unimodality in Chapter 3. A discussion on several existing multivariate notions of unimodality concludes this chapter. Chapter 4 concerns Khinchin's classical unimodality, and Chapter 5 is devoted to discrete unimodality. Chapters 6 and 7 treat the concept of strong unimodality on R and to Ibragimov-type results characterising the probability measures which preserve unimodality by convolution, and the concept of slantedness, respectively. Most chapters end with comments, referring to historical aspects or supplying complementary information and open questions. A practical bibliography, as well as symbol, name and subject indices ensure efficient use of this volume. Audience: Both researchers and applied mathematicians in the field of unimodality will value this monograph, and it may be used in graduate courses or seminars on this subject too.

Gaussian Random Functions

ISBN 90-277-1669-2 I.M. Stancu-Minasian: Stochastic Programming with Multiple Objective Functions. 1985, 352 pp. ... ISBN 90-277-1899-7 O.I. Aven, E.G. Coffman (Jr.) and Y.A. Kogan: Stochastic Analysis of Computer Storage. 1987, 264 pp.

Gaussian Random Functions

It is well known that the normal distribution is the most pleasant, one can even say, an exemplary object in the probability theory. It combines almost all conceivable nice properties that a distribution may ever have: symmetry, stability, indecomposability, a regular tail behavior, etc. Gaussian measures (the distributions of Gaussian random functions), as infinite-dimensional analogues of tht

Asymptotic Behaviour of Linearly Transformed Sums of Random Variables

Doubly Stochastic Maps and Unitary Mixing . ... I.M. Stancu - Minasian : Stochastic Programming with Multiple Objective Functions . ... O.I. Aven , E.G. Coffman ( Jr. ) and Y.A. Kogan : Stochastic Analysis of Computer Storage .

Asymptotic Behaviour of Linearly Transformed Sums of Random Variables

Limit theorems for random sequences may conventionally be divided into two large parts, one of them dealing with convergence of distributions (weak limit theorems) and the other, with almost sure convergence, that is to say, with asymptotic prop erties of almost all sample paths of the sequences involved (strong limit theorems). Although either of these directions is closely related to another one, each of them has its own range of specific problems, as well as the own methodology for solving the underlying problems. This book is devoted to the second of the above mentioned lines, which means that we study asymptotic behaviour of almost all sample paths of linearly transformed sums of independent random variables, vectors, and elements taking values in topological vector spaces. In the classical works of P.Levy, A.Ya.Khintchine, A.N.Kolmogorov, P.Hartman, A.Wintner, W.Feller, Yu.V.Prokhorov, and M.Loeve, the theory of almost sure asymptotic behaviour of increasing scalar-normed sums of independent random vari ables was constructed. This theory not only provides conditions of the almost sure convergence of series of independent random variables, but also studies different ver sions of the strong law of large numbers and the law of the iterated logarithm. One should point out that, even in this traditional framework, there are still problems which remain open, while many definitive results have been obtained quite recently.

A Selected Annotated Bibliography on the Analysis of Water Resource Systems

W73-14666 * STOCHASTIC PROCESSES , ECONOMICS , W73-14904 * STOCHASTIC PROCESSES , DATA COLLE W73-11141 * STOCHASTIC ... OPT W74-00562 * STORAGE VOLUME , * ECONOMIC EFFICI W74-01489 * STORM DRAINS , * COMPUTER MODELS , W74-03763 * STORM ...

A Selected Annotated Bibliography on the Analysis of Water Resource Systems


Library of Congress Subject Headings

M47 Stochastic processes UF Memories , Random access Randomized clinical trials Random access memories USE Clinical trials Storage , Random access Rands family BT Computer storage devices USE Rand family Random breath testing ( May Subd ...

Library of Congress Subject Headings


Publications of the National Institute of Standards and Technology Catalog

The digitizer is under software control with the resulting data being stored in binary files on the computer's hard disk . The stored data subsequently are subjected to stochastic analysis using appropriate computer software .

Publications of the National Institute of Standards and Technology     Catalog


Dependable and Historic Computing

Kipnis, C., Robert, P.: A dynamic storage process. Stochastic Processes and Their Applications 34(1), 155–169 (1990) Aldous, D.: Some Interesting processes arising as heavy traffic limits in an M/M/∞ storage process.

Dependable and Historic Computing

This Festschrift volume, published in honor of Brian Randell on the occasion of his 75th birthday, contains a total of 37 refereed contributions. Two biographical papers are followed by the six invited papers that were presented at the conference 'Dependable and Historic Computing: The Randell Tales', held during April 7-8, 2011 at Newcastle University, UK. The remaining contributions are authored by former scientific colleagues of Brian Randell. The papers focus on the core of Brian Randell’s work: the development of computing science and the study of its history. Moreover, his wider interests are reflected and so the collection comprises papers on software engineering, storage fragmentation, computer architecture, programming languages and dependability. There is even a paper that echoes Randell’s love of maps. After an early career with English Electric and then with IBM in New York and California, Brian Randell joined Newcastle University. His main research has been on dependable computing in all its forms, especially reliability, safety and security aspects, and he has led several major European collaborative projects.

IEEE International Workshop on Workload Characterization

ACM Transactions on Computer Systems, 17(4):288-336, November 1999. ... In Lizy Kurian John and Ann Marie Grizzaffi Maynard, editors, Workload Characterization of Emerging Computer ... Stochastic Analysis of Computer Storage.

IEEE International Workshop on Workload Characterization


Library of Congress Subject Headings

... access storage Storage , Random access BT Computer storage devices Random access storage USE Random access memory ... UF Fields , Random BT Stochastic processes NT Markov random fields Random graphs [ QA166.17 UF Graphs , Random BT ...

Library of Congress Subject Headings


Library of Congress Subject Headings

... Random access BT Computer storage devices NT Flash memories ( Computers ) Random access storage USE Random access memory ... Random ( Statistics ) BT Statistics Stochastic processes NT Numbers , Random Random digit dialing telephone ...

Library of Congress Subject Headings