Optimal design of life testing cost model for Type-II censoring Weibull distribution lifetime units with respect to unknown parameters

Juliana Barcelos Cordeiro and Hoang Pham ()
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Juliana Barcelos Cordeiro: Rutgers University
Hoang Pham: Rutgers University

International Journal of System Assurance Engineering and Management, 2017, vol. 8, issue 1, No 3, 28-32

Abstract: Abstract A life testing of manufactured units is performed in order to speed up testing through either reducing the time required for testing or establishing a predefined number of failures to stop the test. In this paper, we develop a testing cost model for Weibull distribution life time units embedded with its unknown parameter estimators with respect to Type-II censoring life test. In other words, the life test starts with n units and is terminated at a pre-assigned number of failures r. We then determine the optimum sample size on test which minimizes the expected total cost of performing the life testing subject to the unknown parameters of the Weibull distribution lifetime for a fixed number of failures equal to 2. Several numerical examples based on real failure data applications are presented to illustrate the proposed optimal cost design model.

Keywords: Life testing; Maximum likelihood estimate (MLE); Weibull distribution; Risk-cost model (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s13198-016-0511-6

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