Mixed discrete synthetic approach for nonlinear design optimization

Ying Xiong, Singiresu S Rao

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

Abstract

Engineering optimization problems often encounter mixed discrete design variables. Very few of the existing methods can obtain a globally optimal solution if the objective functions are non-convex and non-differentiable. In this research, a mixed discrete synthetic approach (MDSA), taking the advantages of random search methods and deterministic search methods, is proposed. Specifically, the modified complex algorithm is combined with the hybrid negative sub-gradient search, coupled with an implicit enumeration checking-point technique, for the solution of mixed-discrete optimization problems. The MDSA is used for the optimal designs of a pressure vessel and a welded beam. The numerical results demonstrate the high reliability and effectiveness of the MDSA as an advanced global method in solving mixed-discrete engineering optimization problems.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Pages414-421
Number of pages8
Volume1
StatePublished - 2003
Event44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - Norfolk, VA, United States
Duration: Apr 7 2003Apr 10 2003

Other

Other44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
CountryUnited States
CityNorfolk, VA
Period4/7/034/10/03

Fingerprint

Pressure vessels
Design optimization
Optimal design

ASJC Scopus subject areas

  • Architecture

Cite this

Xiong, Y., & Rao, S. S. (2003). Mixed discrete synthetic approach for nonlinear design optimization. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (Vol. 1, pp. 414-421)

Mixed discrete synthetic approach for nonlinear design optimization. / Xiong, Ying; Rao, Singiresu S.

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 1 2003. p. 414-421.

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

Xiong, Y & Rao, SS 2003, Mixed discrete synthetic approach for nonlinear design optimization. in Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. vol. 1, pp. 414-421, 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Norfolk, VA, United States, 4/7/03.
Xiong Y, Rao SS. Mixed discrete synthetic approach for nonlinear design optimization. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 1. 2003. p. 414-421
Xiong, Ying ; Rao, Singiresu S. / Mixed discrete synthetic approach for nonlinear design optimization. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 1 2003. pp. 414-421
@inproceedings{0a946237ac2b405b826e7d3ccdf75baf,
title = "Mixed discrete synthetic approach for nonlinear design optimization",
abstract = "Engineering optimization problems often encounter mixed discrete design variables. Very few of the existing methods can obtain a globally optimal solution if the objective functions are non-convex and non-differentiable. In this research, a mixed discrete synthetic approach (MDSA), taking the advantages of random search methods and deterministic search methods, is proposed. Specifically, the modified complex algorithm is combined with the hybrid negative sub-gradient search, coupled with an implicit enumeration checking-point technique, for the solution of mixed-discrete optimization problems. The MDSA is used for the optimal designs of a pressure vessel and a welded beam. The numerical results demonstrate the high reliability and effectiveness of the MDSA as an advanced global method in solving mixed-discrete engineering optimization problems.",
author = "Ying Xiong and Rao, {Singiresu S}",
year = "2003",
language = "English (US)",
volume = "1",
pages = "414--421",
booktitle = "Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference",

}

TY - GEN

T1 - Mixed discrete synthetic approach for nonlinear design optimization

AU - Xiong, Ying

AU - Rao, Singiresu S

PY - 2003

Y1 - 2003

N2 - Engineering optimization problems often encounter mixed discrete design variables. Very few of the existing methods can obtain a globally optimal solution if the objective functions are non-convex and non-differentiable. In this research, a mixed discrete synthetic approach (MDSA), taking the advantages of random search methods and deterministic search methods, is proposed. Specifically, the modified complex algorithm is combined with the hybrid negative sub-gradient search, coupled with an implicit enumeration checking-point technique, for the solution of mixed-discrete optimization problems. The MDSA is used for the optimal designs of a pressure vessel and a welded beam. The numerical results demonstrate the high reliability and effectiveness of the MDSA as an advanced global method in solving mixed-discrete engineering optimization problems.

AB - Engineering optimization problems often encounter mixed discrete design variables. Very few of the existing methods can obtain a globally optimal solution if the objective functions are non-convex and non-differentiable. In this research, a mixed discrete synthetic approach (MDSA), taking the advantages of random search methods and deterministic search methods, is proposed. Specifically, the modified complex algorithm is combined with the hybrid negative sub-gradient search, coupled with an implicit enumeration checking-point technique, for the solution of mixed-discrete optimization problems. The MDSA is used for the optimal designs of a pressure vessel and a welded beam. The numerical results demonstrate the high reliability and effectiveness of the MDSA as an advanced global method in solving mixed-discrete engineering optimization problems.

UR - http://www.scopus.com/inward/record.url?scp=0042513818&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042513818&partnerID=8YFLogxK

M3 - Conference contribution

VL - 1

SP - 414

EP - 421

BT - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

ER -