Analysis of the Chen’s and Pham’s Software Reliability Models

Nikolay Pavlov; Anton Iliev; Asen Rahnev; Nikolay Kyurkchiev

doi:10.2478/cait-2018-0037

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Analysis of the Chen’s and Pham’s Software Reliability Models

Cybernetics and Information Technologies

Volume 18 (2018): Issue 3 (September 2018)

By: Nikolay Pavlov, Anton Iliev, Asen Rahnev and Nikolay Kyurkchiev

Open Access

|Sep 2018

Abstract

In this paper we study the Hausdorff approximation of the shifted Heaviside step function h_t₀(t) by sigmoidal functions based on the Chen’s and Pham’s cumulative distribution functions and find an expression for the error of the best approximation. We give real examples with data provided by IBM entry software package and Apache HTTP Server using Chen’s software reliability model and Pham’s deterministic software reliability model. Some analyses are made.

References

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Articles in this issue

DOI: https://doi.org/10.2478/cait-2018-0037 | Journal eISSN: 1314-4081 | Journal ISSN: 1311-9702

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Language: English

Page range: 37 - 47

Submitted on: May 15, 2018

Accepted on: Jul 10, 2018

Published on: Sep 19, 2018

Published by: Bulgarian Academy of Sciences, Institute of Information and Communication Technologies

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Two-parameters Chen’s cumulative distribution function (2Ccdf),

two-parameters Pham’s cumulative distribution function (2Pcdf),

Hausdorff approximation,

upper and lower bounds,

supersaturation

Related subjects:

Computer sciences,

Information technology

© 2018 Nikolay Pavlov, Anton Iliev, Asen Rahnev, Nikolay Kyurkchiev, published by Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 18 (2018): Issue 3 (September 2018)