Finding all global optima of engineering design problems with discrete signomial terms

Many engineering design problems are frequently modelled as nonlinear programming problems with discrete signomial terms. In general, signomial programs are very difficult to solve for obtaining the globally optimal solution. This study reformulates the engineering design problem with discrete signo...

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Bibliographic Details
Published in:Engineering optimization Vol. 52; no. 1; pp. 165 - 184
Main Authors: Tsai, Jung-Fa, Lin, Ming-Hua, Peng, Lei-Yi
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 02.01.2020
Taylor & Francis Ltd
Subjects:
alternative optimal solutions
Constraint modelling
Design engineering
discrete signomial terms
Engineering design problem
global optimization
linearization
Nonlinear programming
ISSN:0305-215X, 1029-0273
Online Access:Get full text
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Summary:Many engineering design problems are frequently modelled as nonlinear programming problems with discrete signomial terms. In general, signomial programs are very difficult to solve for obtaining the globally optimal solution. This study reformulates the engineering design problem with discrete signomial terms as a mixed-integer linear program and finds all alternative global optima. Compared with existing exact methods, the proposed method uses fewer variables and constraints in the reformulated model and therefore efficiently solves the engineering problem to derive all global optima. Illustrative examples from the literature are solved to demonstrate the usefulness and efficiency of the proposed method.
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ISSN:0305-215X
1029-0273
DOI:10.1080/0305215X.2019.1577404