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Software Relialibility Markovian Model Based on Phase-Type Distribution

Authors:
Mindaugas Brazenas
Eimutis Valakevicius

Keywords: Software reliability model; phase–type distribution; absorbing Markov chain; performance measures.

Abstract:
The paper focuses on creating of a software reliability model based on phase type distribution. Usually, the length of intervals between the moments of fault detection and correction have unknown distributions. In this paper, a new approach how to approximate any distribution of positive random variable by mixture and convolution of exponential phases, known as the general type of phase-type distribution, is proposed. The optimization algorithm of Local Unimodal Sampling (LUS) is applied to estimate parameters of phase-type distribution. After such procedure, the dynamics of a software reliability model can be described by a continuous time absorbing Markov chain. The probabilities of the resulting absorbing Markov chain are used to compute performance measures of the software reliability model.

Pages: 591 to 597

Copyright: Copyright (c) IARIA, 2014

Publication date: October 12, 2014

Published in: conference

ISSN: 2308-4235

ISBN: 978-1-61208-367-4

Location: Nice, France

Dates: from October 12, 2014 to October 16, 2014