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Seminars

Optimizing Two-Variable Gamma Accelerated Degradation Tests with a Semi-Analytical Approach

  • 2024-01-22 (Mon.), 10:30 AM
  • Auditorium, B1F, Institute of Statistical Science;The tea reception will be held at 10:10.
  • Online live streaming through Cisco Webex will be available.
  • Prof. Hung-Ping Tung
  • Department of Industrial Engineering and Management, National Yang Ming Chiao Tung University

Abstract

Gamma accelerated degradation tests are widely used to assess timely lifetime information of highly reliable products when the degradation path of quality characteristic of products follows a monotonic process. In this talk, a semi-analytical approach is proposed to determine the optimal designs for two-variable gamma accelerated degradation tests under three criteria: D-optimality, A-optimality and V-optimality. We first use general equivalence theorem to prove that the optimal approximate designs only allocate test units at the four vertices of a rectangular design region, and the corresponding optimal proportion of total number of measurements at each stress level is derived. Next, we apply the concept of prescribed accuracy level and total experimental cost to further determine optimal integer designs. More specifically, a numerical approach is used to resolve the number of test units and number of measurements at each stress level.

Please click here for participating the talk online.

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1130122 Prof. Hung-Ping Tung.pdf
Update:2024-01-16 17:39
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