Parallel optimization methods for agile manufacturing
J.C. Meza,C.D. Moen,T.D. Plantenga,P.A. Spence,C.H. Tong,B.A. Hendrickson,R.W. Leland,G.M. Reese +7 more
- 01 Aug 1997
TL;DR: The results of an LDRD is described, the goal of which was to develop optimization algorithms and software tools that will enable automated design thereby allowing for agile manufacturing.
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Abstract: The rapid and optimal design of new goods is essential for meeting national objectives in advanced manufacturing. Currently almost all manufacturing procedures involve the determination of some optimal design parameters. This process is iterative in nature and because it is usually done manually it can be expensive and time consuming. This report describes the results of an LDRD, the goal of which was to develop optimization algorithms and software tools that will enable automated design thereby allowing for agile manufacturing. Although the design processes vary across industries, many of the mathematical characteristics of the problems are the same, including large-scale, noisy, and non-differentiable functions with nonlinear constraints. This report describes the development of a common set of optimization tools using object-oriented programming techniques that can be applied to these types of problems. The authors give examples of several applications that are representative of design problems including an inverse scattering problem, a vibration isolation problem, a system identification problem for the correlation of finite element models with test data and the control of a chemical vapor deposition reactor furnace. Because the function evaluations are computationally expensive, they emphasize algorithms that can be adapted to parallel computers.
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Citations
Optimization strategies for complex engineering applications
M.S. Eldred
- 01 Feb 1998
TL;DR: This report surveys LDRD activities and summarizes the key findings and recommendations and develops application-specific techniques, fundamental optimization algorithms, multilevel hybrid and sequential approximate optimization strategies, parallel processing approaches, and automatic differentiation and adjoint augmentation methods.
A stochastic difference equation approach to inference with missing data: Some new results
Edward H. Ip,J. Diebolt +1 more
- 01 Apr 1995
TL;DR: In this paper, the Stochastic EM estimator is derived from an iterative algorithm which handles statistical model with missing data, and it is shown that iterates derived from the additive stochastic difference equation converges to a normal distribution.
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TL;DR: How the algorithm can be applied in statistical inference to avoid numerical integrations is explained and two examples using the Stochastic EM algorithm are presented, dealing with censored Weibull data and an empirical Bayes model that arises in educational testing.
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Automatic differentiation for gradient-based optimization of radiatively heated microelectronics manufacturing equipment
Christoper Moen,Paul A. Spence,Juan Meza,Todd Plantenga +3 more
- 31 Dec 1996
TL;DR: The performance results support previous observations that automatic differentiation becomes beneficial as the number of optimization parameters increases.
Optimal control of a CVD reactor for prescribed temperature behavior
J.C. Meza,T.D. Plantenga +1 more
- 01 Apr 1995
TL;DR: In this article, the TWAFER analysis code was used to compute the temperature distribution inside a CVD reactor and coupled with a nonlinear optimization code to find the optimal power curves which achieve a specified target temperature in minimum time.
Automatic differentiation of the TACO2D finite element code using ADIFOR
TL;DR: The study of TACO2D indicates that ADIFOR-generated derivatives yield accurate derivatives at a fraction of the time requirements of finite difference approximations, and space requirements proportional to the number of variables.