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Determination of Software Reliability based on Multivariate Exponential, Lomax and Weibull Models

Author

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  • Nadarajah Saralees

    (1. School of Mathematics, University of Manchester, Manchester M60 1QD, UK, E-mail: saralees.nadarajah@manchester.ac.uk)

  • Kotz Samuel

    (2. Department of Engineering Management and Systems Engineering, George Washington University, Washington, DC 20052, USA)

Abstract

When a new software is produced it is usually tested for failure several times in succession (whenever a failure is detected the software is rectified and tested again for failure). Suppose X 1, X 2, …, X k denote the times between failures. Usually these variables will be dependent because of inter-dependence between the different components of the software. For the customer the main characteristic of interest is the value t for which the probability Pr{min(X 1, X 2, …, X k) ≥ t} would be high. In this paper we consider a number of dependence models for X 1, X 2, …, X k based on multivariate exponential, multivariate Lomax and multivariate Weibull distributions. For each model we show how t could be determined for a specified degree of reliability. We also assess the sensitivity of t with respect to k failures and with respect to the dependence and the marginal parameters of each model.

Suggested Citation

  • Nadarajah Saralees & Kotz Samuel, 2006. "Determination of Software Reliability based on Multivariate Exponential, Lomax and Weibull Models," Monte Carlo Methods and Applications, De Gruyter, vol. 12(5), pages 447-459, November.
    • Handle: RePEc:bpj:mcmeap:v:12:y:2006:i:5:p:447-459:n:3
    DOI: 10.1515/156939606779329035
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    References listed on IDEAS

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