Implementation of compound optimal design strategy in censored life-testing experiment
Single-objective optimal designs or constraint optimal designs have widely been studied in life-testing experiment literature. However, the experiments having multiple objectives did not get relevant attention so far. Compound optimal designs are usually employed in statistical design problems where...
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| Vydáno v: | Test (Madrid, Spain) Ročník 29; číslo 4; s. 1029 - 1050 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Springer Berlin Heidelberg
01.12.2020
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| ISSN: | 1133-0686, 1863-8260 |
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| Abstract | Single-objective optimal designs or constraint optimal designs have widely been studied in life-testing experiment literature. However, the experiments having multiple objectives did not get relevant attention so far. Compound optimal designs are usually employed in statistical design problems where the experiment possesses multiple goals. This article introduces the concept of compound optimal design in life-testing experiments. A graphical solution approach is developed to find the optimal design, which is easy to compute and interpret. At the end, the equivalence of the compound optimal design and the constraint optimal design has been established. The advantage of using compound optimal design over the constraint optimal design is demonstrated through one example. Finally, one real-life data set is analyzed to in life-testing experiment illustrate the applicability of the proposed approach in practice. |
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| AbstractList | Single-objective optimal designs or constraint optimal designs have widely been studied in life-testing experiment literature. However, the experiments having multiple objectives did not get relevant attention so far. Compound optimal designs are usually employed in statistical design problems where the experiment possesses multiple goals. This article introduces the concept of compound optimal design in life-testing experiments. A graphical solution approach is developed to find the optimal design, which is easy to compute and interpret. At the end, the equivalence of the compound optimal design and the constraint optimal design has been established. The advantage of using compound optimal design over the constraint optimal design is demonstrated through one example. Finally, one real-life data set is analyzed to in life-testing experiment illustrate the applicability of the proposed approach in practice. |
| Author | Bhattacharya, Ritwik |
| Author_xml | – sequence: 1 givenname: Ritwik orcidid: 0000-0003-4732-7994 surname: Bhattacharya fullname: Bhattacharya, Ritwik email: ritwik.bhatta@gmail.com organization: Department of Industrial Engineering, School of Engineering and Sciences, Tecnológico de Monterrey |
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| Keywords | Censoring 90B25 Compound optimal design 62N05 Multi-objective optimization Cost model Variance measure Life-testing experiment |
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| Snippet | Single-objective optimal designs or constraint optimal designs have widely been studied in life-testing experiment literature. However, the experiments having... |
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| SubjectTerms | Economics Finance Insurance Management Mathematics and Statistics Original Paper Statistical Theory and Methods Statistics Statistics for Business |
| Title | Implementation of compound optimal design strategy in censored life-testing experiment |
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| Volume | 29 |
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