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

Pavlov Nikolay; Iliev Anton; Rahnev Asen; Kyurkchiev Nikolay

doi:10.2478/cait-2018-0037

Cybernetics and Information Technologies (Sep 2018)

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

Pavlov Nikolay,
Iliev Anton,
Rahnev Asen,
Kyurkchiev Nikolay

Affiliations

Pavlov Nikolay: Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Asen Str., 4000Plovdiv, Bulgaria
Iliev Anton: Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Asen Str., 4000Plovdiv, Bulgaria
Rahnev Asen: Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Asen Str., 4000Plovdiv, Bulgaria
Kyurkchiev Nikolay: Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Asen Str., 4000Plovdiv, Bulgaria

DOI: https://doi.org/10.2478/cait-2018-0037
Journal volume & issue: Vol. 18, no. 3
pp. 37 – 47

Abstract

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In this paper we study the Hausdorff approximation of the shifted Heaviside step function ht0(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.

Published in Cybernetics and Information Technologies

ISSN: 1314-4081 (Online)
Publisher: Sciendo
Country of publisher: Poland
LCC subjects: Science: Science (General): Cybernetics
Website: https://sciendo.com/journal/cait

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