Design of accelerated life testing plans under multiple stresses

Accelerated life testing (ALT) using multiple stresses is commonly used in practice to resemble the operating stresses at normal operating conditions and obtain failure observations in a much shorter time. However, to date, there is little research into the theory of planning ALT for reliability estimation with multiple stresses. ALT with multiple stresses can result in a large number of stress-level combinations which presents a challenge for implementation. In this article, we propose an approach for the design of ALT plans with multiple stresses and formulate multistress test plans based on different objectives and practical constraints. We develop a simulated annealing algorithm to efficiently determine the testing plan parameters. We demonstrate the proposed method with examples based on an actual test conducted using three stress types. The obtained optimal test plans are compared with those based on fractional factorial design. © 2013 Wiley Periodicals, Inc. Naval Research Logistics 60: 468–478, 2013

[1]  Marvin Zelen,et al.  Factorial Experiments in Life Testing , 1959 .

[2]  Bong-Jin Yum,et al.  Optimal design of accelerated life tests with two stresses , 1996 .

[3]  William Q. Meeker,et al.  A Review of Accelerated Test Models , 2006, 0708.0369.

[4]  Kenny Q. Ye Orthogonal Column Latin Hypercubes and Their Application in Computer Experiments , 1998 .

[5]  W. B. Nelson,et al.  A bibliography of accelerated test plans part II - references , 2005, IEEE Transactions on Reliability.

[6]  Alistair I. Mees,et al.  Convergence of an annealing algorithm , 1986, Math. Program..

[7]  William Q. Meeker,et al.  Planning accelerated life tests with two or more experimental factors , 1995 .

[8]  T. J. Mitchell,et al.  Exploratory designs for computational experiments , 1995 .

[9]  W. B. Nelson,et al.  A bibliography of accelerated test plans , 2005, IEEE Transactions on Reliability.

[10]  William Q. Meeker,et al.  Theory for Optimum Accelerated Censored Life Tests for Weibull and Extreme Value Distributions , 1978 .

[11]  Min Zhao,et al.  Application of the optimal Latin hypercube design and radial basis function network to collaborative optimization , 2007 .

[12]  Jonathan Swingler,et al.  The effect of relative humidity, temperature and electrical field on leakage currents in piezo-ceramic actuators under dc bias , 2009 .

[13]  Guangbin Yang,et al.  Accelerated life tests at higher usage rates , 2005, IEEE Trans. Reliab..

[14]  Hao Zhang,et al.  Design of optimum multiple-stress accelerated life testing plans based on proportional odds model , 2009 .

[15]  Peter Winker,et al.  Optimal U—Type Designs , 1998 .

[16]  W. Minford,et al.  Accelerated Life Testing and Reliability of High K Multilayer Ceramic Capacitors , 1981 .

[17]  Christopher R. Bowen,et al.  Multilayer actuators: review , 2001 .

[18]  Hai-Yan Xu,et al.  Planning Step-Stress Accelerated Life Tests With Two Experimental Variables , 2007, IEEE Transactions on Reliability.

[19]  V. R. Joseph,et al.  ORTHOGONAL-MAXIMIN LATIN HYPERCUBE DESIGNS , 2008 .