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A note on optimal allocations for the second elementary symmetric function with applications for optimal reliability design



This article considers the problem of determining the optimal size allocation and optimal number of experimental conditions for a second elementary symmetric function with different coefficients. Analytical solutions for several practical applications are derived and the general formulation is used to elucidate the foundation between different parametric models found in recent studies. A geometrical interpretation of the structure of some theoretical results is also provided. This approach renders some complex problems more tractable than what numerical search algorithms would allow. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012