Timed-SAS: Modeling and Analyzing the Time Behaviors of Self-Adaptive Software under Uncertainty

Self-adaptive software (SAS) is gaining in popularity as it can handle dynamic changes in the operational context or in itself. Time behaviors are of vital importance for SAS systems, as the self-adaptation loops bring in additional overhead time. However, early modeling and quantitative analysis of...

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Published inApplied sciences Vol. 13; no. 3; p. 2018
Main Authors Han, Deshuai, Cai, Yanping, Chen, WenJie, Cui, Zhigao, Li, Aihua
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.02.2023
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ISSN2076-3417
2076-3417
DOI10.3390/app13032018

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Abstract Self-adaptive software (SAS) is gaining in popularity as it can handle dynamic changes in the operational context or in itself. Time behaviors are of vital importance for SAS systems, as the self-adaptation loops bring in additional overhead time. However, early modeling and quantitative analysis of time behaviors for the SAS systems is challenging, especially under uncertainty environments. To tackle this problem, this paper proposed an approach called Timed-SAS to define, describe, analyze, and optimize the time behaviors within the SAS systems. Concretely, Timed-SAS: (1) provides a systematic definition on the deterministic time constraints, the uncertainty delay time constraints, and the time-based evaluation metrics for the SAS systems; (2) creates a set of formal modeling templates for the self-adaptation processes, the time behaviors and the uncertainty environment to consolidate design knowledge for reuse; and (3) provides a set of statistical model checking-based quantitative analysis templates to analyze and verify the self-adaptation properties and the time properties under uncertainty. To validate its effectiveness, we presented an example application and a subject-based experiment. The results demonstrated that the Timed-SAS approach can effectively reduce modeling and verification difficulties of the time behaviors, and can help to optimize the self-adaptation logic.
AbstractList Self-adaptive software (SAS) is gaining in popularity as it can handle dynamic changes in the operational context or in itself. Time behaviors are of vital importance for SAS systems, as the self-adaptation loops bring in additional overhead time. However, early modeling and quantitative analysis of time behaviors for the SAS systems is challenging, especially under uncertainty environments. To tackle this problem, this paper proposed an approach called Timed-SAS to define, describe, analyze, and optimize the time behaviors within the SAS systems. Concretely, Timed-SAS: (1) provides a systematic definition on the deterministic time constraints, the uncertainty delay time constraints, and the time-based evaluation metrics for the SAS systems; (2) creates a set of formal modeling templates for the self-adaptation processes, the time behaviors and the uncertainty environment to consolidate design knowledge for reuse; and (3) provides a set of statistical model checking-based quantitative analysis templates to analyze and verify the self-adaptation properties and the time properties under uncertainty. To validate its effectiveness, we presented an example application and a subject-based experiment. The results demonstrated that the Timed-SAS approach can effectively reduce modeling and verification difficulties of the time behaviors, and can help to optimize the self-adaptation logic.
Featured ApplicationThe Timed-SAS approach can be used to design and quantitatively analyze the complex self-adaptive software systems, such as cloud computing systems.AbstractSelf-adaptive software (SAS) is gaining in popularity as it can handle dynamic changes in the operational context or in itself. Time behaviors are of vital importance for SAS systems, as the self-adaptation loops bring in additional overhead time. However, early modeling and quantitative analysis of time behaviors for the SAS systems is challenging, especially under uncertainty environments. To tackle this problem, this paper proposed an approach called Timed-SAS to define, describe, analyze, and optimize the time behaviors within the SAS systems. Concretely, Timed-SAS: (1) provides a systematic definition on the deterministic time constraints, the uncertainty delay time constraints, and the time-based evaluation metrics for the SAS systems; (2) creates a set of formal modeling templates for the self-adaptation processes, the time behaviors and the uncertainty environment to consolidate design knowledge for reuse; and (3) provides a set of statistical model checking-based quantitative analysis templates to analyze and verify the self-adaptation properties and the time properties under uncertainty. To validate its effectiveness, we presented an example application and a subject-based experiment. The results demonstrated that the Timed-SAS approach can effectively reduce modeling and verification difficulties of the time behaviors, and can help to optimize the self-adaptation logic.
Author Cai, Yanping
Han, Deshuai
Cui, Zhigao
Chen, WenJie
Li, Aihua
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Cites_doi 10.1016/j.infsof.2019.04.011
10.1109/SEAMS.2015.10
10.1016/j.jss.2016.02.028
10.7873/DATE.2015.0448
10.1109/TSMC.2015.2433892
10.1007/978-3-319-74183-3_2
10.1109/SEAMS51251.2021.00018
10.1007/978-3-030-00262-6
10.1007/s00607-013-0295-3
10.1145/2724719
10.1016/j.jss.2020.110558
10.1016/j.jss.2006.02.062
10.1109/COMPSAC.2016.125
10.1016/j.infsof.2016.04.014
10.1109/TR.2019.2936026
10.1007/s100090050010
10.1109/TSE.2015.2421318
10.1109/ICIS.2017.7959998
10.1515/comp-2020-0120
10.1007/s11390-013-1321-9
10.4204/EPTCS.329.5
10.1016/j.jss.2020.110626
10.1109/QRASA.2016.9
10.1016/j.pmcj.2014.09.009
10.1016/j.future.2019.12.005
10.1145/1134285.1134337
10.4204/EPTCS.85.1
10.1007/s10009-014-0361-y
10.1007/978-3-319-68690-5_10
10.1007/s11390-020-0499-x
10.3390/app12031475
10.1109/MC.2003.1160055
10.1007/978-3-540-27813-9_16
10.1109/SEAMS.2019.00015
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References Iglesia (ref_11) 2015; 10
Han (ref_19) 2016; 76
Krupitzer (ref_29) 2015; 17
ref_14
ref_13
ref_12
ref_34
ref_32
ref_31
ref_30
Pataki (ref_7) 2021; 11
Rodrigues (ref_25) 2019; 112
ref_18
Su (ref_35) 2020; 69
ref_17
ref_16
ref_38
ref_15
ref_37
Yang (ref_26) 2013; 28
Arcaini (ref_36) 2020; 164
Zhao (ref_40) 2013; 95
Gerostathopoulos (ref_2) 2016; 122
Salehie (ref_3) 2009; 4
David (ref_22) 2015; 17
ref_24
ref_45
ref_44
ref_43
Kephart (ref_6) 2003; 36
Weyns (ref_10) 2019; 2019
ref_20
Larsen (ref_23) 1997; 1
ref_41
Abbas (ref_5) 2020; 167
ref_28
ref_27
Zhang (ref_39) 2006; 79
ref_9
ref_8
Ding (ref_33) 2017; 46
Filieri (ref_42) 2015; 42
Han (ref_21) 2020; 35
ref_4
Chen (ref_1) 2020; 105
References_xml – volume: 112
  start-page: 115
  year: 2019
  ident: ref_25
  article-title: Enhancing context specifications for dependable adaptive systems: A data mining approach
  publication-title: Inf. Softw. Technol.
  doi: 10.1016/j.infsof.2019.04.011
– ident: ref_28
– volume: 2019
  start-page: 3522585
  year: 2019
  ident: ref_10
  article-title: ActivFORMS: A Model-Based Approach to Engineer Self-Adaptive Systems
  publication-title: IEICE Trans. Fundam. Electron. Commun. Comput. Sci.
– ident: ref_17
  doi: 10.1109/SEAMS.2015.10
– ident: ref_30
– volume: 122
  start-page: 378
  year: 2016
  ident: ref_2
  article-title: Self-adaptation in software-intensive cyber–physical systems: From system goals to architecture configurations
  publication-title: J. Syst. Softw.
  doi: 10.1016/j.jss.2016.02.028
– ident: ref_32
– ident: ref_24
  doi: 10.7873/DATE.2015.0448
– volume: 46
  start-page: 483
  year: 2017
  ident: ref_33
  article-title: Modeling self-adaptive software systems with learning petri nets
  publication-title: IEEE Trans. Syst. Man Cybern. Syst.
  doi: 10.1109/TSMC.2015.2433892
– ident: ref_9
  doi: 10.1007/978-3-319-74183-3_2
– ident: ref_45
  doi: 10.1109/SEAMS51251.2021.00018
– ident: ref_4
  doi: 10.1007/978-3-030-00262-6
– volume: 95
  start-page: 785
  year: 2013
  ident: ref_40
  article-title: Development of global specification for dynamically adaptive software
  publication-title: Computing
  doi: 10.1007/s00607-013-0295-3
– ident: ref_16
– volume: 10
  start-page: 2724719
  year: 2015
  ident: ref_11
  article-title: MAPE-K formal templates to rigorously design behaviors for self-adaptive systems
  publication-title: ACM Trans. Auton. Adapt. Syst.
  doi: 10.1145/2724719
– volume: 164
  start-page: 110558
  year: 2020
  ident: ref_36
  article-title: MSL: A pattern language for engineering self-adaptive systems
  publication-title: J. Syst. Softw.
  doi: 10.1016/j.jss.2020.110558
– ident: ref_37
– volume: 79
  start-page: 1361
  year: 2006
  ident: ref_39
  article-title: Using temporal logic to specify adaptive program semantics
  publication-title: J. Syst. Softw.
  doi: 10.1016/j.jss.2006.02.062
– ident: ref_15
  doi: 10.1109/COMPSAC.2016.125
– ident: ref_44
– volume: 76
  start-page: 118
  year: 2016
  ident: ref_19
  article-title: FAME: A UML-based framework for modeling fuzzy self-adaptive software
  publication-title: Inf. Softw. Technol.
  doi: 10.1016/j.infsof.2016.04.014
– volume: 69
  start-page: 581
  year: 2020
  ident: ref_35
  article-title: Modeling of timing constraints in hybrid systems using Event-B
  publication-title: IEEE Trans. Reliab.
  doi: 10.1109/TR.2019.2936026
– volume: 1
  start-page: 134
  year: 1997
  ident: ref_23
  article-title: UPPAAL in a nutshell
  publication-title: Int. J. Softw. Tools Technol. Transf.
  doi: 10.1007/s100090050010
– volume: 42
  start-page: 75
  year: 2015
  ident: ref_42
  article-title: Supporting self-adaptation via quantitative verification and sensitivity analysis at run time
  publication-title: IEEE Trans. Softw. Eng.
  doi: 10.1109/TSE.2015.2421318
– ident: ref_18
  doi: 10.1109/ICIS.2017.7959998
– volume: 11
  start-page: 107
  year: 2021
  ident: ref_7
  article-title: A DSL for resource checking using finite state automaton-driven symbolic execution
  publication-title: Open Comput. Sci.
  doi: 10.1515/comp-2020-0120
– volume: 28
  start-page: 165
  year: 2013
  ident: ref_26
  article-title: Fuzzy self-adaptation of mission-critical software under uncertainty
  publication-title: J. Comput. Sci. Technol.
  doi: 10.1007/s11390-013-1321-9
– volume: 4
  start-page: 14
  year: 2009
  ident: ref_3
  article-title: Self-adaptive software: Landscape and research challenges
  publication-title: ACM Trans. Auton. Adapt. Syst. TAAS
– ident: ref_34
  doi: 10.4204/EPTCS.329.5
– volume: 167
  start-page: 110626
  year: 2020
  ident: ref_5
  article-title: ASPLe: A methodology to develop self-adaptive software systems with systematic reuse
  publication-title: J. Syst. Softw.
  doi: 10.1016/j.jss.2020.110626
– ident: ref_27
– ident: ref_12
  doi: 10.1109/QRASA.2016.9
– volume: 17
  start-page: 184
  year: 2015
  ident: ref_29
  article-title: A survey on engineering approaches for self-adaptive systems
  publication-title: Pervasive Mob. Comput.
  doi: 10.1016/j.pmcj.2014.09.009
– ident: ref_41
– volume: 105
  start-page: 287
  year: 2020
  ident: ref_1
  article-title: Self-adaptive resource allocation for cloud-based software services based on iterative QoS prediction model
  publication-title: Future Gener. Comput. Syst.
  doi: 10.1016/j.future.2019.12.005
– ident: ref_38
  doi: 10.1145/1134285.1134337
– ident: ref_13
  doi: 10.4204/EPTCS.85.1
– volume: 17
  start-page: 397
  year: 2015
  ident: ref_22
  article-title: Uppaal SMC tutorial
  publication-title: Int. J. Softw. Tools Technol. Transf.
  doi: 10.1007/s10009-014-0361-y
– ident: ref_31
  doi: 10.1007/978-3-319-68690-5_10
– volume: 35
  start-page: 1016
  year: 2020
  ident: ref_21
  article-title: EasyModel: A Refinement-Based Modeling and Verification Approach for Self-Adaptive Software
  publication-title: J. Comput. Sci. Technol.
  doi: 10.1007/s11390-020-0499-x
– ident: ref_8
  doi: 10.3390/app12031475
– ident: ref_20
– volume: 36
  start-page: 41
  year: 2003
  ident: ref_6
  article-title: The vision of autonomic computing
  publication-title: Computer
  doi: 10.1109/MC.2003.1160055
– ident: ref_14
  doi: 10.1007/978-3-540-27813-9_16
– ident: ref_43
  doi: 10.1109/SEAMS.2019.00015
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Snippet Self-adaptive software (SAS) is gaining in popularity as it can handle dynamic changes in the operational context or in itself. Time behaviors are of vital...
Featured ApplicationThe Timed-SAS approach can be used to design and quantitatively analyze the complex self-adaptive software systems, such as cloud computing...
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StartPage 2018
SubjectTerms Adaptation
Cloud computing
formal modeling
formal templates
Internet service providers
Performance evaluation
Quantitative analysis
self-adaptive software
Software
time behavior
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Title Timed-SAS: Modeling and Analyzing the Time Behaviors of Self-Adaptive Software under Uncertainty
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