Multidisciplinary and multilevel design optimization problems with equilibrium constraints

Shen Lu, Uday V. Shanbhag, Harrison M. Kim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Citations (Scopus)

Abstract

Economic and physical considerations often lead to equilibrium problems in multidisciplinary design optimization (MDO). We introduce MDO problems with complementarity constraints to model such equilibrium problems in this paper. Also introduced is a Stackelberg game to model design decision making process in MDO with shared variables. We provide solution schemes based on the inexact penalty and augmented Lagrangian techniques. Two classes of problems are solved in the paper: a regular MDO modeled as a Stackelberg game and a new MDO with complementarity constraints. The proposed method was tested for Golinski's speed reducer design and shows promising results with convergence to the all-in-one solution.

Original languageEnglish (US)
Title of host publication12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO
StatePublished - Dec 1 2008
Event12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO - Victoria, BC, Canada
Duration: Sep 10 2008Sep 12 2008

Publication series

Name12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO

Other

Other12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO
CountryCanada
CityVictoria, BC
Period9/10/089/12/08

Fingerprint

Speed reducers
Decision making
Design optimization
Economics

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Mechanical Engineering

Cite this

Lu, S., Shanbhag, U. V., & Kim, H. M. (2008). Multidisciplinary and multilevel design optimization problems with equilibrium constraints. In 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO [2008-6023] (12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO).
Lu, Shen ; Shanbhag, Uday V. ; Kim, Harrison M. / Multidisciplinary and multilevel design optimization problems with equilibrium constraints. 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO. 2008. (12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO).
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Lu, S, Shanbhag, UV & Kim, HM 2008, Multidisciplinary and multilevel design optimization problems with equilibrium constraints. in 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO., 2008-6023, 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO, 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO, Victoria, BC, Canada, 9/10/08.

Multidisciplinary and multilevel design optimization problems with equilibrium constraints. / Lu, Shen; Shanbhag, Uday V.; Kim, Harrison M.

12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO. 2008. 2008-6023 (12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - Economic and physical considerations often lead to equilibrium problems in multidisciplinary design optimization (MDO). We introduce MDO problems with complementarity constraints to model such equilibrium problems in this paper. Also introduced is a Stackelberg game to model design decision making process in MDO with shared variables. We provide solution schemes based on the inexact penalty and augmented Lagrangian techniques. Two classes of problems are solved in the paper: a regular MDO modeled as a Stackelberg game and a new MDO with complementarity constraints. The proposed method was tested for Golinski's speed reducer design and shows promising results with convergence to the all-in-one solution.

AB - Economic and physical considerations often lead to equilibrium problems in multidisciplinary design optimization (MDO). We introduce MDO problems with complementarity constraints to model such equilibrium problems in this paper. Also introduced is a Stackelberg game to model design decision making process in MDO with shared variables. We provide solution schemes based on the inexact penalty and augmented Lagrangian techniques. Two classes of problems are solved in the paper: a regular MDO modeled as a Stackelberg game and a new MDO with complementarity constraints. The proposed method was tested for Golinski's speed reducer design and shows promising results with convergence to the all-in-one solution.

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Lu S, Shanbhag UV, Kim HM. Multidisciplinary and multilevel design optimization problems with equilibrium constraints. In 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO. 2008. 2008-6023. (12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO).