Abstract
This study develops a bi-objective method for burn-in decision makings with a view to achieving an optimal trade-off between the cost and the performance measures. Under the proposed method, a manufacturer specifies the relative importance between the cost and the performance measures. Then a single-objective optimal solution can be obtained through optimizing the weighted combination of these two measures. Based on this method, we build a specific model when the performance objective is the survival probability given a mission time. We prove that the optimal burn-in duration is decreasing in the weight assigned to the normalized cost. Then, we develop an algorithm to populate the Pareto frontier in case the manufacturer has no idea about the relative weight.
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The authors thank the editor and four anonymous reviewers for their critical and constructive comments which have considerably helped in the revision of an earlier version of the paper. This work is partially supported by a grant from City University of Hong Kong (Project No. 9380058).
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Ye, ZS., Tang, LC. & Xie, M. Bi-objective burn-in modeling and optimization. Ann Oper Res 212, 201–214 (2014). https://doi.org/10.1007/s10479-013-1419-z
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DOI: https://doi.org/10.1007/s10479-013-1419-z