IJPAM: Volume 119, No. 4 (2018)

Title

ON THE BURR XII-WEIBULL
SOFTWARE RELIABILITY MODEL

Authors

Vesselin Kyurkchiev$^1$, Anna Malinova$^2$,
Olga Rahneva$^3$, Pavel Kyurkchiev$^4$
$^{1,2,4}$Faculty of Mathematics and Informatics
University of Plovdiv Paisii Hilendarski
24, Tzar Asen Str., 4000 Plovdiv, BULGARIA
$^{3}$Faculty of Economy and Social Sciences
University of Plovdiv Paisii Hilendarski
24, Tzar Asen Str., 4000 Plovdiv, BULGARIA

Abstract

In this paper we study the Hausdorff approximation of the Heaviside step function by Burr XII-Weibull cumulative distribution function. The results have independent significance in the study of issues related to debugging theory. Numerical examples, illustrating our results are presented using programming environment Mathematica. We give also real examples with data provided in [1] using Burr XII-Weibul software reliability model. Dataset included [2] Year 2000 compatibility modifications, operating system upgrade, and signaling message processing.

History

Received: April 10, 2018
Revised: July 18, 2018
Published: July 27, 2018

AMS Classification, Key Words

AMS Subject Classification: 68N30, 41A46
Key Words and Phrases: four-parameters Burr XII-Weibull cumulative function (4BWcdf), Hausdorff approximation, upper and lower bounds

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How to Cite?

DOI: 10.12732/ijpam.v119i4.6 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: 4
Pages: 639 - 650


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