No Access

MULTIOBJECTIVE DESIGN OF EQUIVALENT ACCELERATED LIFE TESTING PLANS

Department of Nuclear Engineering, Department of Industrial and Information Engineering, University of Tennessee, Knoxville, TN 37996, USA

Corresponding author.

Search for more papers by this author

and

ZHAOJUN LI

Department of Industrial Engineering, University of Washington, Seattle, WA 98195, USA

Search for more papers by this author

https://doi.org/10.1142/S0218539308003209Cited by:10 (Source: Crossref)

Abstract

This paper is focused on the multiobjective design of equivalent accelerated life test (ALT) plans. Equivalent ALT plans are expected to achieve the same statistical performance as a baseline ALT plan yet lead to other desired performance measures such as reduced test time and total cost. Before determining the desired multiobjective equivalent ALT plans, an efficient fast non-dominated sorting genetic algorithm (NSGA-II) is utilized to identify a set of Pareto optimal solutions. To handle a large number of Pareto optimal solutions, a self-organizing map (SOM) and data envelopment analysis (DEA) are sequentially applied to classify the Pareto solutions and reduce the size of the suggested solution set. This integrated approach allows for the tradeoff of information among the Pareto solutions and the reduction in the size of the solution set. It provides a useful tool for practitioners to make meaningful decisions in planning ALT experiments.

Keywords:

References

E. A. Elsayed , Reliability Engineering ( Adison Wesley Longman , New York , 1996 ) . Google Scholar
D. R. Cox, J. R. Statist. Soc. B 34, 187 (1972). Google Scholar
A. Ciampi and J. Etezadi-Amoli, Communications in Statistics-Theory and Methods 14, 651 (1985), DOI: 10.1080/03610928508828940. Crossref, Web of Science, Google Scholar
E. A. Elsayed, H. T. Liao and X. D. Wang, IIE Transactions on Quality and Reliability 38(1), 1 (2006). Google Scholar
E. A. Elsayed and H. Zhang, Journal Européen des Systemes Automatisés 40, 745 (2006), DOI: 10.3166/jesa.40.745-762. Crossref, Google Scholar
W. B. Nelson , Accelerated Testing: Statistical Models, Test Plans, and Data Analysies ( Wiley , New York , 1990 ) . Crossref, Google Scholar
W. Q. Meeker and L. A. Escobar , Statistical Methods for Reliability Data ( John Wiley & Sons , New York , 1998 ) . Google Scholar
L. A. Escobar and W. Q. Meeker, Statistical Sciences 21, 552 (2006), DOI: 10.1214/088342306000000321. Crossref, Web of Science, Google Scholar
H. Chernoff, Technometrics 4, 381 (1962), DOI: 10.2307/1266575. Crossref, Web of Science, Google Scholar
W. B. Nelson and T. J. Kielpinski, Technometrics 18, 105 (1976), DOI: 10.2307/1267923. Crossref, Web of Science, Google Scholar
L. D. Maxim, A. D. Hendrickson and D. E. Cullen, Technometrics 19, 405 (1977), DOI: 10.2307/1267879. Crossref, Web of Science, Google Scholar
W. Q. Meeker and G. J. Hahn, Statistical Techniques 10, (1985). Google Scholar
W. B. Nelson and W. Q. Meeker, Technometrics 20(2), 171 (1978), DOI: 10.2307/1268710. Crossref, Web of Science, Google Scholar
R. Miller and W. B. Nelson, IEEE Transactions on Reliability 32, 59 (1983). Web of Science, Google Scholar
D. S. Bai and Y. R. Chun, IEEE Transactions on Reliability 40, 622 (1991), DOI: 10.1109/24.106787. Crossref, Web of Science, Google Scholar
S. W. Chung and D. S. Bai, International Journal of Reliability, Quality and Safety Engineering 5, 315 (1998), DOI: 10.1142/S0218539398000285. Link, Google Scholar
I. H. Khamis and J. J. Higgins, IEEE Transactions on Reliability 45, 341 (1996), DOI: 10.1109/24.510823. Crossref, Web of Science, Google Scholar
C. Xiong, IEEE Transactions on Reliability 47, 142 (1998), DOI: 10.1109/24.722278. Crossref, Web of Science, Google Scholar
C. Xiong and G. A. Milliken, IEEE Transactions on Reliability 48, 141 (1999). Crossref, Web of Science, Google Scholar
C. Xiong and M. Ji, IEEE Transactions on Reliability 53, 22 (2004), DOI: 10.1109/TR.2004.824832. Crossref, Web of Science, Google Scholar
H. Y. Xu and H. L. Fei, IEEE Transactions on Reliability 56, 569 (2007), DOI: 10.1109/TR.2007.903292. Crossref, Web of Science, Google Scholar
W. B. Nelson, IEEE Transactions on Reliability 54, 194 (2005), DOI: 10.1109/TR.2005.847247. Crossref, Web of Science, Google Scholar
L. C. Tang and K. Xu, IEEE Transactions on Reliability 54, 58 (2005), DOI: 10.1109/TR.2004.841731. Crossref, Web of Science, Google Scholar
C. W. Kirkwood , Strategic decision making ( Duxbury Press , 1997 ) . Google Scholar
J. Holland , Adaptation in natural and artificial systems ( U. Michigan Press , 1975 ) . Google Scholar
J. D. Schaffer , Multiple objective optimization with vector evaluated genetic algorithms , Genetic Algorithms and Their Applications: Proceedings of the First International Conference on Genetic Algorithms ( 1985 ) . Google Scholar
C. M. Fonseca and P. J. Fleming , Genetic algorithms for multiobjective optimization: formulation, discussion and generalization , Proc. Fifth Int. Conf. Genetic Algorithms ( 1993 ) . Google Scholar
J. Horn , N. Nafpliotis and D. E. Goldberg , A niched pareto genetic algorithm for multiobjective optimization , Proc. First IEEE Conf. Evolutionary Computation ( 1994 ) . Google Scholar
N. K. Srinivas and A. Deb, Journal of Evolutionary Computation 2(3), 221 (1994), DOI: 10.1162/evco.1994.2.3.221. Crossref, Web of Science, Google Scholar
E. Zitzler and L. Thiele, IEEE Trans. Vol. Comput. 3(4), 257 (1999), DOI: 10.1109/4235.797969. Crossref, Web of Science, Google Scholar
K. Deb, S. Agarwal, A. Pratap and T. Meyarivan, A fast elitist nondominated sorting genetic algorithm for multi-objective optimization: NSGA-II, KanGAL Report Number 200001. (Kanpur, India:Indian Institute of Technology, 2000) . Google Scholar
K. Deb et al. , A fast elitist nondominated sorting genetic algorithm for multi-objective optimization: NSGA-II , Proc. Parallel Problem Solving from Nature VI Conf. ( 2000 ) . Google Scholar
K. Debet al., IEEE Transactions on Evolutionary Computation 6(2), 182 (2002), DOI: 10.1109/4235.996017. Crossref, Web of Science, Google Scholar
H. A. Taboada, J. F. Espiritu and D. W. Coit, IEEE Transactions on Reliability 57, 182 (2008), DOI: 10.1109/TR.2008.916874. Crossref, Web of Science, Google Scholar
L. Fausett , Fundamentals of Neural Networks: Architectures, Algorithms, and Applications ( Prentice Hall , NJ , 1994 ) . Google Scholar
J. Tarja, K. Pekka and W. Jyrki, Management Science 44(7), 962 (1998). Web of Science, Google Scholar
B. H. Demuth , M. Beale and M. T. Hagan , Neural Network Design ( PWS Publishing Co. , Boston, MA , 1997 ) . Google Scholar
W. W. Cooper , L. M. Seiford and K. Tone , Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References, and DEA-Solver Software ( Springer , 2006 ) . Google Scholar
A. Charnes, W. W. Cooper and E. Rhodes, European Journal of Operational Research 2, 429 (1978), DOI: 10.1016/0377-2217(78)90138-8. Crossref, Web of Science, Google Scholar
H. A. Taboada, F. Baheranwala and D. W. Coit, Reliability Engineering and System Safety 92, 314 (2007), DOI: 10.1016/j.ress.2006.04.014. Crossref, Web of Science, Google Scholar
J. W. Yougbare and J. Teghem, European Journal of Operational Research 183, 608 (2007), DOI: 10.1016/j.ejor.2006.10.026. Crossref, Web of Science, Google Scholar