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Properties of the working-set model

Authors:

Peter J. Denning,

Stuart C. SchwartzAuthors Info & Claims

Communications of the ACM, Volume 15, Issue 3

Pages 191 - 198

https://doi.org/10.1145/361268.361281

Published: 01 March 1972 Publication History

Abstract

A program's working set W(t, T) at time t is the set of distinct pages among the T most recently referenced pages. Relations between the average working-set size, the missing-page rate, and the interreference-interval distribution may be derived both from time-average definitions and from ensemble-average (statistical) definitions. An efficient algorithm for estimating these quantities is given. The relation to LRU (lease recently used) paging is characterized. The independent-reference model, in which page references are statistically independent, is used to assess the effects of interpage dependencies on working-set size observations. Under general assumptions, working-set size is shown to be normally distributed.

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Cited By

Denning P(2021)Working Set AnalyticsACM Computing Surveys10.1145/339970953:6(1-36)Online publication date: 2-Feb-2021
https://dl.acm.org/doi/10.1145/3399709
Lebeck NKrishnamurthy ALevy HZhang IGavrilovska AZadok E(2020)End the senseless killingProceedings of the 2020 USENIX Conference on Usenix Annual Technical Conference10.5555/3489146.3489206(873-887)Online publication date: 15-Jul-2020
https://dl.acm.org/doi/10.5555/3489146.3489206
Alfares NKesidis GLi XUrgaonkar BKandemir MKonstantopoulos T(2020)On a Caching System with Object SharingProceedings of the International Workshop on Middleware and Applications for the Internet of Things10.1145/3429881.3430107(1-6)Online publication date: 7-Dec-2020
https://dl.acm.org/doi/10.1145/3429881.3430107
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Published In

cover image Communications of the ACM

Communications of the ACM Volume 15, Issue 3

March 1972

69 pages

ISSN:0001-0782

EISSN:1557-7317

DOI:10.1145/361268

Editor:
M. Stuart Lynn
Rice Univ., Houston, TX

Issue’s Table of Contents

Copyright © 1972 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 March 1972

Published in CACM Volume 15, Issue 3

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Cited By

Denning P(2021)Working Set AnalyticsACM Computing Surveys10.1145/339970953:6(1-36)Online publication date: 2-Feb-2021
https://dl.acm.org/doi/10.1145/3399709
Lebeck NKrishnamurthy ALevy HZhang IGavrilovska AZadok E(2020)End the senseless killingProceedings of the 2020 USENIX Conference on Usenix Annual Technical Conference10.5555/3489146.3489206(873-887)Online publication date: 15-Jul-2020
https://dl.acm.org/doi/10.5555/3489146.3489206
Alfares NKesidis GLi XUrgaonkar BKandemir MKonstantopoulos T(2020)On a Caching System with Object SharingProceedings of the International Workshop on Middleware and Applications for the Internet of Things10.1145/3429881.3430107(1-6)Online publication date: 7-Dec-2020
https://dl.acm.org/doi/10.1145/3429881.3430107
Feldmann MScheideler CSchmid S(2020)Survey on Algorithms for Self-stabilizing Overlay NetworksACM Computing Surveys10.1145/339719053:4(1-24)Online publication date: 11-Jul-2020
https://dl.acm.org/doi/10.1145/3397190
Ali ICaprolu MPietro R(2020)Foundations, Properties, and Security Applications of PuzzlesACM Computing Surveys10.1145/339637453:4(1-38)Online publication date: 20-Aug-2020
https://dl.acm.org/doi/10.1145/3396374
Ngamakeur KYongchareon SYu JRehman S(2020)A Survey on Device-free Indoor Localization and Tracking in the Multi-resident EnvironmentACM Computing Surveys10.1145/339630253:4(1-29)Online publication date: 11-Jul-2020
https://dl.acm.org/doi/10.1145/3396302
Yuan LDing CSmith WDenning PZhang Y(2019)A Relational Theory of LocalityACM Transactions on Architecture and Code Optimization10.1145/334110916:3(1-26)Online publication date: 20-Aug-2019
https://dl.acm.org/doi/10.1145/3341109
Li PPronovost CWilson WTait BZhou JDing CCriswell JBahar IHerlihy MWitchel ELebeck A(2019)Beating OPT with Statistical Clairvoyance and Variable Size CachingProceedings of the Twenty-Fourth International Conference on Architectural Support for Programming Languages and Operating Systems10.1145/3297858.3304067(243-256)Online publication date: 4-Apr-2019
https://dl.acm.org/doi/10.1145/3297858.3304067
Chen HZhang YCaramanis MCoskun A(2019)EnergyQAREACM Transactions on Modeling and Performance Evaluation of Computing Systems10.1145/32431724:1(1-31)Online publication date: 24-Jan-2019
https://dl.acm.org/doi/10.1145/3243172
Yuan LSmith WFan SChen ZDing CZhang Y(2019)Footmark: A New Formulation for Working Set StatisticsLanguages and Compilers for Parallel Computing10.1007/978-3-030-34627-0_5(61-69)Online publication date: 13-Nov-2019
https://doi.org/10.1007/978-3-030-34627-0_5
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