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N. M. Alexandrov and R. M. Lewis. Comparative properties of collaborative optimization and other approaches to MDO. In Proceedings of the First ASMO UK / ISSMO Conference on Engineering Design Optimization, July 1999.

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Parallel Continuous Optimization - Dennis, Jr., Wu (2000)   (Correct)

....implementation. But, a major difficulty is that one must be able to open up the single discipline analysis codes and extract the residual computations for the equations solved by that code. Recent work on MDO, for example, Cramer et al. [29] Dennis and Lewis [32] and Alexandrov and Lewis [2], demonstrated that the MDA equations as well as the MDO problem can be solved in parallel if appropriate formulations and algorithms are used. We describe some of the ideas in the following. For simplicity, consider a two discipline MDO problem, min f(x 0 ; R 1 (u 1 ) R 2 (u 2 ) st: g 0 (x 0 ....

N. M. Alexandrov and R. M. Lewis. Comparative properties of collaborative optimization to mdo. Technical Report 99--14, ICASE, NASA Langley Research Center, Hampton, VA, July 1999.


Algorithmic Perspectives on Problem Formulations in MDO - Alexandrov, Lewis (2000)   (1 citation)  Self-citation (Alexandrov Lewis)   (Correct)

....of the constraints, such SLP or SQP. Relationship among the formulations Approaches to MDO problems are generally based on techniques for eliminating variables from the original problem. The variables are eliminated by enforcing various subsets of the constraints in different ways. In [25], wesaythatanMDOformulationisclosed with respect to a given set of constraints if the formulation rather than an optimization algorithm for its solution assumes that these constraints are satisfied at every iteration of the optimization. If the formulation does not necessarily assume that a ....

N. M. Alexandrov and R. M. Lewis. Comparative properties of collaborative optimization and other approaches to MDO. In Engineering Design Optimization. MCB University Press, 1999.


Analytical and Computational Properties of Distributed.. - Alexandrov, Lewis (2000)   (1 citation)  Self-citation (Alexandrov Lewis)   (Correct)

....but also whether the resulting problem can be efficiently implemented and solved or solved at all by available optimization algorithms. Therefore, optimization problem formulation holds profound computational consequences for the overall MDO process. The present work continues the effort in [1, 2] aimed at furthering the understanding of the analytical properties and computational implications of MDO problem formulations and at proposing efficient solution methods based on this understanding. Because of the complexity and expense of the constituent analyses, most efforts in dealing with ....

Natalia M. Alexandrov and Robert Michael Lewis. Comparative properties of collaborative optimization and other approaches to MDO. In Proceedings of the ASMO UK/ISSMO Conference on Engineering Design Optimization, 1999. Available as ICASE technical report 99-24.


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N. M. Alexandrov and R. M. Lewis. Comparative properties of collaborative optimization and other approaches to MDO. In Proceedings of the First ASMO UK / ISSMO Conference on Engineering Design Optimization, July 1999.


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N. M. Alexandrov and R. M. Lewis. Comparative properties of collaborative optimization and other approaches to MDO. In Proceedings of the First ASMO UK / ISSMO Conference on Engineering Design Optimization, July 1999.


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N. M. Alexandrov and R. M. Lewis. Comparative properties of collaborative optimization and other approaches to MDO. In Proceedings of the First ASMO UK / ISSMO Conference on Engineering Design Optimization, July 1999.


Efficient Uncertainty Analysis Methods For Multidisciplinary.. - Xiaoping Du And (2001)   (Correct)

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Alexandrov, N.M. and Lewis, R.M., Comparative Properties of Collaborative Optimization and Other Approaches to MDO, NASA/CR-

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