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A Decision-Analytic Approach to Reliability-Based Design Optimization

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  • Robert F. Bordley

    (General Motors Technical Center, Warren, Michigan 48090)

  • Stephen M. Pollock

    (University of Michigan, Ann Arbor, Michigan 48109)

Abstract

Reliability-based design optimization is concerned with designing a product to optimize an objective function, given uncertainties about whether various design constraints will be satisfied. However, the widespread practice of formulating such problems as chance-constrained programs can lead to misleading solutions. While a decision-analytic approach would avoid this undesirable result, many engineers find it difficult to determine the utility functions required for a traditional decision analysis. This paper presents an alternative decision-analytic formulation that, although implicitly using utility functions, is more closely related to probability maximization formulations with which engineers are comfortable and skilled. This result combines the rigor of decision analysis with the convenience of existing optimization approaches.

Suggested Citation

  • Robert F. Bordley & Stephen M. Pollock, 2009. "A Decision-Analytic Approach to Reliability-Based Design Optimization," Operations Research, INFORMS, vol. 57(5), pages 1262-1270, October.
    • Handle: RePEc:inm:oropre:v:57:y:2009:i:5:p:1262-1270
    DOI: 10.1287/opre.1080.0661
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    References listed on IDEAS

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    6. Bordley, Robert F. & Pollock, Stephen M., 2012. "Assigning resources and targets to an organization’s activities," European Journal of Operational Research, Elsevier, vol. 220(3), pages 752-761.
    7. Grani A. Hanasusanto & Vladimir Roitch & Daniel Kuhn & Wolfram Wiesemann, 2017. "Ambiguous Joint Chance Constraints Under Mean and Dispersion Information," Operations Research, INFORMS, vol. 65(3), pages 751-767, June.

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