Reduction method with system analysis for multiobjective optimization-based design

Abstract In a previous article, a new and simple reduction method was presented for optimization-based design of nonhierarchically decomposed engineering systems. As a sequel to that work, in this paper we first examine some significant issues in relation to the reduction method: the optimality conditions when the method is applied, the reason why move limits are not required, and some of the factors that might affect the robustness of the cumulative constraints. For verification and validation, we then present some numerical test results in which the method is applied to twenty-one (21) test problems. Based on the test results reported, some guidelines for applying the method are suggested.

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Constrained multiobjective optimization based design of CMOS ring oscillator

2014 International Conference on Computer Communication and Informatics ◽

10.1109/iccci.2014.6921830 ◽

2014 ◽

Cited By ~ 3

Author(s):

Prakash Kumar Rout ◽

Debiprasad Priyabrata Acharya ◽

Ganapati Panda

Keyword(s):

Multiobjective Optimization ◽

Ring Oscillator ◽

Constrained Multiobjective Optimization ◽

Optimization Based Design

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Multiobjective optimization‐based design of stabilizing piles in earth slopes

International Journal for Numerical and Analytical Methods in Geomechanics ◽

10.1002/nag.2926 ◽

2019 ◽

Vol 43 (7) ◽

pp. 1516-1536 ◽

Cited By ~ 3

Author(s):

Huiming Tang ◽

Wenping Gong ◽

Liangqing Wang ◽

C. Hsein Juang ◽

James R. Martin ◽

...

Keyword(s):

Multiobjective Optimization ◽

Stabilizing Piles ◽

Earth Slopes ◽

Optimization Based Design

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A Reduction Method for Nonhierarchichal Optimization-Based Design

18th Design Automation Conference: Volume 1 — Optimum Design, Manufacturing Processes, and Concurrent Engineering ◽

10.1115/detc1992-0123 ◽

1992 ◽

Author(s):

Bi-Chu Wu ◽

Shapour Azarm

Keyword(s):

Optimum Design ◽

Driving Force ◽

Reduction Method ◽

Optimization Problems ◽

Size Reduction ◽

Simple Method ◽

Size Problem ◽

Optimization Based Design

Abstract Nonhierarchical decomposition-based optimization, especially when compared to the hierarchical one, has the advantage that no restriction is imposed on how the decomposed subsystems should interact with one another. However, the difficulty inherent in nonhierarchically decomposed subsystems is how to coordinate their activities so that an overall optimum design can be achieved. In this paper, a new and simple method for optimization-based design of nonhierarchically decomposed systems is presented. The driving force behind the method is to formulate and iteratively solve a reduced-size problem so that the decomposed subsystems can be coordinated. Since the size reduction measures developed in the method does not include any problem-dependent assumptions, the procedure is applicable to a wide variety of optimization problems. To illustrate the application of the method, a simple numerical and a flywheel design example are presented.

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