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題名 Importance inference of optimal test planning for degradation analysis
作者 董奕賢
Dong, Yi-Shian;Peng, Chien-Yu
貢獻者 統計系
關鍵詞 Constrained optimization; interaction; sensitivity analysis; step-stress accelerated degradation test; Tweedie process
日期 2025-09
上傳時間 2025-11-14
摘要 Determination of the decision variables such as the inspection period, number of measurements, and sample size is crucial for planning an efficient degradation test. For widely used stochastic processes, the necessary and sufficient conditions for the explicit expression of optimal decision variables can be derived by minimizing the approximate variance of an estimator of interest under a limited budget. The importance of the decision variable is proposed to study the rate at which the objective function improves with the decision variable. The necessary and sufficient conditions for determining the importance of the optimal decision variables are theoretically investigated to elucidate the effect of the experimental costs and model parameters. Furthermore, the relative rankings of the importance of the optimal decision variables are illustrated through numerical examples.
關聯 IEEE Transactions on Reliability, Vol.74, No.3, pp.4426-4440
資料類型 article
DOI https://doi.org/10.1109/TR.2025.3556481
dc.contributor 統計系
dc.creator (作者) 董奕賢
dc.creator (作者) Dong, Yi-Shian;Peng, Chien-Yu
dc.date (日期) 2025-09
dc.date.accessioned 2025-11-14-
dc.date.available 2025-11-14-
dc.date.issued (上傳時間) 2025-11-14-
dc.identifier.uri (URI) https://ah.lib.nccu.edu.tw/item?item_id=179806-
dc.description.abstract (摘要) Determination of the decision variables such as the inspection period, number of measurements, and sample size is crucial for planning an efficient degradation test. For widely used stochastic processes, the necessary and sufficient conditions for the explicit expression of optimal decision variables can be derived by minimizing the approximate variance of an estimator of interest under a limited budget. The importance of the decision variable is proposed to study the rate at which the objective function improves with the decision variable. The necessary and sufficient conditions for determining the importance of the optimal decision variables are theoretically investigated to elucidate the effect of the experimental costs and model parameters. Furthermore, the relative rankings of the importance of the optimal decision variables are illustrated through numerical examples.
dc.format.extent 103 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) IEEE Transactions on Reliability, Vol.74, No.3, pp.4426-4440
dc.subject (關鍵詞) Constrained optimization; interaction; sensitivity analysis; step-stress accelerated degradation test; Tweedie process
dc.title (題名) Importance inference of optimal test planning for degradation analysis
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1109/TR.2025.3556481
dc.doi.uri (DOI) https://doi.org/10.1109/TR.2025.3556481