Planning Life Tests Based on Progressively Type-I Grouped Censored Data from the Weibull Distribution |
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| Authors: | Chien-Tai Lin N Balakrishnan Sam J S Wu |
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| Institution: | 1. Department of Mathematics , Tamkang University , Tamsui, Taiwan chien@mail.tku.edu.tw;3. Department of Mathematics and Statistics , McMaster University , Hamilton, Canada;4. Visiting Professor at King Saud University, Riyadh, Saudi Arabia, and The National Central University , Taiwan;5. PISA Taiwan National Center , National University of Tainan , Tainan, Taiwan |
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| Abstract: | In this article, we apply the simulated annealing algorithm to determine optimally spaced inspection times for the two-parameter Weibull distribution for any given progressive Type-I grouped censoring plan. We examine how the asymptotic relative efficiencies of the estimates are affected by the position of the monitoring points and the number of monitoring points used. A comparison of different inspection plans is made that will enable the user to select a plan for a specified quality goal. Using the same algorithm, we can also determine an optimal progressive Type-I grouped censoring plan when the inspection times and the expected proportions of total failures in the experiment are pre-fixed. Finally, we discuss the sample size and the acceptance constant of the progressively Type-I grouped censored reliability sampling plan when the optimal inspection times are used. |
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| Keywords: | Optimally spaced inspection times Optimal progressive Type-I grouped censoring Reliability sampling plan Simulated annealing algorithm |
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