JSM 2011 Online Program

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Abstract Details

Activity Number: 183
Type: Contributed
Date/Time: Monday, August 1, 2011 : 10:30 AM to 12:20 PM
Sponsor: Section on Quality and Productivity
Abstract - #301884
Title: Optimal Allocation for the Second Elementary Symmetric Function with Different Coefficients
Author(s): Chien-Yu Peng*+
Companies: Academia Sinica
Address: , Taipei, 11529, Taiwan
Keywords: Accelerated Tests ; Elementary symmetric function ; Optimal allocation ; Quadratic Programming
Abstract:

In this paper we consider the problem of determining the optimal size allocation and optimal number of experimental conditions for the second elementary symmetric function with different coefficients. We derive analytical solutions for different cases of practical applications and use the general formulation to elucidate the foundation between different parametric models found in recent studies. A geometrical interpretation for the structure of some theoretical results will then be given. Our results enable more complex problems to be more tractable than the numerical search algorithms currently being used.


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