SOME DETERMINISTIC GROWTH CURVES WITH APPLICATIONS TO SOFTWARE RELIABILITY ANALYSIS

N. Pavlov, A. Iliev, A. Rahnev, N. Kyurkchiev

IJPAM: Volume 119, No. 2 (2018)

Title

SOME DETERMINISTIC GROWTH CURVES WITH
APPLICATIONS TO SOFTWARE RELIABILITY ANALYSIS

Authors

Nikolay Pavlov

, Anton Iliev

,
Asen Rahnev

, Nikolay Kyurkchiev

$^{1,2,3,4}$ Faculty of Mathematics and Informatics
University of Plovdiv Paisii Hilendarski
24, Tzar Asen Str., 4000 Plovdiv, BULGARIA

Abstract

The Hausdorff approximation of the shifted Heaviside function $h_{t_0}(t)$ by sigmoidal functions based on the Pham [1] and Song-Chang-Pham [2] cumulative functions is investigated and an expression for the error of the best approximation is obtained in this paper.

The results of numerical examples confirm theoretical conclusions and they are obtained using programming environment Mathematica.

We give real examples with data provided by IBM entry software package [3] using Song-Chang-Pham [2] software reliability model.

History

Received: May 10, 2018
Revised: June 20, 2018
Published: July 4, 2018

AMS Classification, Key Words

AMS Subject Classification: 68N30, 41A46
Key Words and Phrases: deterministic Pham's model, Song-Chang-Pham model, shifted Heaviside function $h_{t_0}(t)$ , Hausdorff approximation, upper and lower bounds

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How to Cite?

DOI: 10.12732/ijpam.v119i2.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 119
Issue: 2
Pages: 357 - 368

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