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Optimum ramp-stress accelerated life test for m identical repairable systems
Authors:Preeti Wanti Srivastava  Nidhi Jain
Affiliation:Department of Operational Research, University of Delhi, Delhi 110007, India
Abstract:
This paper proposes optimum ramp accelerated life test (ALT) of m identical repairable systems using non-homogeneous power law process (PLP) under failure truncated case. An ALT with linearly increasing stress is a ramp test. In particular, a ramp test with two different linearly increasing stresses is a simple ramp test. The optimum ramp test with different stress rates is formulated by determining the proportions of test systems allocated to each stress rate using D-optimality criterion. D-optimality criterion minimizes the reciprocal of the determinant of the Fisher information matrix of the model parameters. The method developed is illustrated using two stress rates and three stress rates. It has been found that it takes much longer to obtain same estimated expected no. of failures at baseline condition than at stress levels.
Keywords:Accelerated life test   Maximum likelihood estimation   Fisher information matrix   Non-homogeneous Poisson process   Mean time between failures
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