Analysis of real-time systems using convolution of probability mass function

Stanislaw Widel; Jaroslaw Flak; Arkadiusz Jestratjew; Piotr Gaj

doi:10.1109/ETFA.2012.6489718

Analysis of real-time systems using convolution of probability mass function

Stanislaw Widel
, Jaroslaw Flak
, Arkadiusz Jestratjew
, Piotr Gaj

Department of Distributed Systems and Informatic Devices (RAU/RAU8)

Silesian University of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

The article refers to real-time systems, especially being used in industry as IT systems with time constraints. A typical analysis of such systems is based generally on the maximum values, which can be useful to determine the time characteristic in worst cases of system run. The proposed method is based on all values being available to measure used in the form of probability mass functions. This method uses the convolution and deconvolution of temporal characteristics of system sub-processes. It is shown that this approach can be used to verify the assumption that the maximum response time of a given complex system is the sum of maximum response times of its parallel executed sub-processes.

Original language	English
Title of host publication	Proceedings of 2012 IEEE 17th International Conference on Emerging Technologies and Factory Automation, ETFA 2012
DOIs	https://doi.org/10.1109/ETFA.2012.6489718
Publication status	Published - 2012
Event	2012 IEEE 17th International Conference on Emerging Technologies and Factory Automation, ETFA 2012 - Krakow, Poland Duration: 17 Sept 2012 → 21 Sept 2012

Publication series

Name	IEEE International Conference on Emerging Technologies and Factory Automation, ETFA

Conference

Conference	2012 IEEE 17th International Conference on Emerging Technologies and Factory Automation, ETFA 2012
Country/Territory	Poland
City	Krakow
Period	17/09/12 → 21/09/12

ASJC Scopus subject areas

Electrical and Electronic Engineering
Control and Systems Engineering
Industrial and Manufacturing Engineering
Computer Science Applications

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10.1109/ETFA.2012.6489718

Cite this

Widel, S., Flak, J., Jestratjew, A., & Gaj, P. (2012). Analysis of real-time systems using convolution of probability mass function. In Proceedings of 2012 IEEE 17th International Conference on Emerging Technologies and Factory Automation, ETFA 2012 Article 6489718 (IEEE International Conference on Emerging Technologies and Factory Automation, ETFA). https://doi.org/10.1109/ETFA.2012.6489718

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title = "Analysis of real-time systems using convolution of probability mass function",

abstract = "The article refers to real-time systems, especially being used in industry as IT systems with time constraints. A typical analysis of such systems is based generally on the maximum values, which can be useful to determine the time characteristic in worst cases of system run. The proposed method is based on all values being available to measure used in the form of probability mass functions. This method uses the convolution and deconvolution of temporal characteristics of system sub-processes. It is shown that this approach can be used to verify the assumption that the maximum response time of a given complex system is the sum of maximum response times of its parallel executed sub-processes.",

author = "Stanislaw Widel and Jaroslaw Flak and Arkadiusz Jestratjew and Piotr Gaj",

year = "2012",

doi = "10.1109/ETFA.2012.6489718",

language = "English",

isbn = "9781467347372",

series = "IEEE International Conference on Emerging Technologies and Factory Automation, ETFA",

booktitle = "Proceedings of 2012 IEEE 17th International Conference on Emerging Technologies and Factory Automation, ETFA 2012",

note = "2012 IEEE 17th International Conference on Emerging Technologies and Factory Automation, ETFA 2012 ; Conference date: 17-09-2012 Through 21-09-2012",

}

Widel, S, Flak, J, Jestratjew, A & Gaj, P 2012, Analysis of real-time systems using convolution of probability mass function. in Proceedings of 2012 IEEE 17th International Conference on Emerging Technologies and Factory Automation, ETFA 2012., 6489718, IEEE International Conference on Emerging Technologies and Factory Automation, ETFA, 2012 IEEE 17th International Conference on Emerging Technologies and Factory Automation, ETFA 2012, Krakow, Poland, 17/09/12. https://doi.org/10.1109/ETFA.2012.6489718

Analysis of real-time systems using convolution of probability mass function. / Widel, Stanislaw; Flak, Jaroslaw; Jestratjew, Arkadiusz et al.
Proceedings of 2012 IEEE 17th International Conference on Emerging Technologies and Factory Automation, ETFA 2012. 2012. 6489718 (IEEE International Conference on Emerging Technologies and Factory Automation, ETFA).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Analysis of real-time systems using convolution of probability mass function

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AU - Jestratjew, Arkadiusz

AU - Gaj, Piotr

PY - 2012

Y1 - 2012

N2 - The article refers to real-time systems, especially being used in industry as IT systems with time constraints. A typical analysis of such systems is based generally on the maximum values, which can be useful to determine the time characteristic in worst cases of system run. The proposed method is based on all values being available to measure used in the form of probability mass functions. This method uses the convolution and deconvolution of temporal characteristics of system sub-processes. It is shown that this approach can be used to verify the assumption that the maximum response time of a given complex system is the sum of maximum response times of its parallel executed sub-processes.

AB - The article refers to real-time systems, especially being used in industry as IT systems with time constraints. A typical analysis of such systems is based generally on the maximum values, which can be useful to determine the time characteristic in worst cases of system run. The proposed method is based on all values being available to measure used in the form of probability mass functions. This method uses the convolution and deconvolution of temporal characteristics of system sub-processes. It is shown that this approach can be used to verify the assumption that the maximum response time of a given complex system is the sum of maximum response times of its parallel executed sub-processes.

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DO - 10.1109/ETFA.2012.6489718

M3 - Conference contribution

AN - SCOPUS:84876361874

SN - 9781467347372

T3 - IEEE International Conference on Emerging Technologies and Factory Automation, ETFA

BT - Proceedings of 2012 IEEE 17th International Conference on Emerging Technologies and Factory Automation, ETFA 2012

T2 - 2012 IEEE 17th International Conference on Emerging Technologies and Factory Automation, ETFA 2012

Y2 - 17 September 2012 through 21 September 2012

ER -

Analysis of real-time systems using convolution of probability mass function

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