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

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.

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

Nikolay Pavlov

Anton Iliev

Asen Rahnev

Nikolay Kyurkchiev

Online veröffentlicht: 19. Sept. 2018

Seitenbereich: 37 - 47

Eingereicht: 15. Mai 2018

Akzeptiert: 10. Juli 2018

DOI: https://doi.org/10.2478/cait-2018-0037

SchlüsselwörterTwo-parameters Chen’s cumulative distribution function (2Ccdf), two-parameters Pham’s cumulative distribution function (2Pcdf), Hausdorff approximation, upper and lower bounds, supersaturation

© 2018 Nikolay Pavlov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Schlüsselwörter
Two-parameters Chen’s cumulative distribution function (2Ccdf), two-parameters Pham’s cumulative distribution function (2Pcdf), Hausdorff approximation, upper and lower bounds, supersaturation