Planning accelerated life tests with random effects of test chambers

Kangwon Seo, Rong Pan

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


In accelerated life tests (ALTs), test units are often tested in multiple test chambers along with different stress conditions. The nonhomogeneity of test chambers precludes the complete randomized experiment and may affect the life-stress relationship of the test product. The chamber-to-chamber variation should be taken into account for ALT planning so as to obtain more accurate test results. In this paper, planning ALTs under a nested experimental design structure with random test chamber effects is studied. First, by a 2-phase approach, we illustrate to what extent different test chamber assignments to stress conditions may impact the estimation of unknown parameters. Then, D-optimal test plans with 2 test chambers are considered. To construct the optimal design, we establish the generalized linear mixed model for failure-time data and apply a quasi-likelihood method, where test chamber assignments, as well as other decision variables that are required for planning ALTs, are simultaneously determined.

Original languageEnglish (US)
Pages (from-to)224-243
Number of pages20
JournalApplied Stochastic Models in Business and Industry
Issue number2
StatePublished - Mar 1 2018


  • D-optimal design
  • accelerated life tests
  • generalized linear mixed model
  • nested experimental design
  • random effects
  • test chamber assignment

ASJC Scopus subject areas

  • Modeling and Simulation
  • Business, Management and Accounting(all)
  • Management Science and Operations Research


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