國立虎尾科技大學 |

Nonlinear Interval Optimization for Uncertain Problems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Nonlinear Interval Optimization for Uncertain Problems/ by Chao Jiang, Xu Han, Huichao Xie.
Author:	Jiang, Chao.
other author:	Han, Xu.
Description:	XII, 284 p. 103 illus., 58 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematical optimization. -
Online resource:	https://doi.org/10.1007/978-981-15-8546-3
ISBN:	9789811585463

Nonlinear Interval Optimization for Uncertain Problems
Jiang, Chao.

Nonlinear Interval Optimization for Uncertain Problems[electronic resource] /by Chao Jiang, Xu Han, Huichao Xie. - 1st ed. 2021. - XII, 284 p. 103 illus., 58 illus. in color.online resource. - Springer Tracts in Mechanical Engineering,2195-9870. - Springer Tracts in Mechanical Engineering,.

Introduction -- Fundamentals of interval number theory -- Mathematical transformation models of nonlinear interval optimization -- Interval optimization based on hybrid optimization algorithms -- Interval optimization based on interval structural analysis -- Interval optimization based on sequential linear programming -- Interval optimization based on surrogate models -- Interval multidisciplinary optimization design -- Interval optimization based on a novel interval possibility degree model -- Interval optimization considering parameter dependences -- Interval multi-objective optimization design -- Interval optimization considering tolerance design -- Interval differential evolution algorithm.

This book systematically discusses nonlinear interval optimization design theory and methods. Firstly, adopting a mathematical programming theory perspective, it develops an innovative mathematical transformation model to deal with general nonlinear interval uncertain optimization problems, which is able to equivalently convert complex interval uncertain optimization problems to simple deterministic optimization problems. This model is then used as the basis for various interval uncertain optimization algorithms for engineering applications, which address the low efficiency caused by double-layer nested optimization. Further, the book extends the nonlinear interval optimization theory to design problems associated with multiple optimization objectives, multiple disciplines, and parameter dependence, and establishes the corresponding interval optimization models and solution algorithms. Lastly, it uses the proposed interval uncertain optimization models and methods to deal with practical problems in mechanical engineering and related fields, demonstrating the effectiveness of the models and methods.

ISBN: 9789811585463

Standard No.: 10.1007/978-981-15-8546-3doiSubjects--Topical Terms:

527675
Mathematical optimization.

LC Class. No.: QA402.5-402.6

Dewey Class. No.: 519.6

Nonlinear Interval Optimization for Uncertain Problems
LDR:03231nam a22004095i 4500 001 1050509
003 DE-He213
005 20210830073547.0
007 cr nn 008mamaa
008 220103s2021 si | s |||| 0|eng d
020 $a 9789811585463 $9 978-981-15-8546-3
024 7 $a 10.1007/978-981-15-8546-3 $2 doi
035 $a 978-981-15-8546-3
050 4 $a QA402.5-402.6
072 7 $a PBU $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBU $2 thema
082 0 4 $a 519.6 $2 23
100 1 $a Jiang, Chao. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1182349
245 1 0 $a Nonlinear Interval Optimization for Uncertain Problems $h [electronic resource] / $c by Chao Jiang, Xu Han, Huichao Xie.
250 $a 1st ed. 2021.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2021.
300 $a XII, 284 p. 103 illus., 58 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Springer Tracts in Mechanical Engineering, $x 2195-9870
505 0 $a Introduction -- Fundamentals of interval number theory -- Mathematical transformation models of nonlinear interval optimization -- Interval optimization based on hybrid optimization algorithms -- Interval optimization based on interval structural analysis -- Interval optimization based on sequential linear programming -- Interval optimization based on surrogate models -- Interval multidisciplinary optimization design -- Interval optimization based on a novel interval possibility degree model -- Interval optimization considering parameter dependences -- Interval multi-objective optimization design -- Interval optimization considering tolerance design -- Interval differential evolution algorithm.
520 $a This book systematically discusses nonlinear interval optimization design theory and methods. Firstly, adopting a mathematical programming theory perspective, it develops an innovative mathematical transformation model to deal with general nonlinear interval uncertain optimization problems, which is able to equivalently convert complex interval uncertain optimization problems to simple deterministic optimization problems. This model is then used as the basis for various interval uncertain optimization algorithms for engineering applications, which address the low efficiency caused by double-layer nested optimization. Further, the book extends the nonlinear interval optimization theory to design problems associated with multiple optimization objectives, multiple disciplines, and parameter dependence, and establishes the corresponding interval optimization models and solution algorithms. Lastly, it uses the proposed interval uncertain optimization models and methods to deal with practical problems in mechanical engineering and related fields, demonstrating the effectiveness of the models and methods.
650 0 $a Mathematical optimization. $3 527675
650 0 $a Applied mathematics. $3 1069907
650 0 $a Engineering mathematics. $3 562757
650 0 $a Aerospace engineering. $3 686400
650 0 $a Astronautics. $3 646219
650 0 $a Engineering design. $3 560518
650 1 4 $a Optimization. $3 669174
650 2 4 $a Mathematical and Computational Engineering. $3 1139415
650 2 4 $a Aerospace Technology and Astronautics. $3 683885
650 2 4 $a Engineering Design. $3 670857
700 1 $a Han, Xu. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1317726
700 1 $a Xie, Huichao. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1354845
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811585456
776 0 8 $i Printed edition: $z 9789811585470
776 0 8 $i Printed edition: $z 9789811585487
830 0 $a Springer Tracts in Mechanical Engineering, $x 2195-9862 $3 1253585
856 4 0 $u https://doi.org/10.1007/978-981-15-8546-3
912 $a ZDB-2-ENG
912 $a ZDB-2-SXE
950 $a Engineering (SpringerNature-11647)
950 $a Engineering (R0) (SpringerNature-43712)