DECOMPOSITION-BASED APPROACHES FOR MULTIOBJECTIVE COMPOSITE SYSTEMS

被引：0

作者：

Miguel, Francisca ^{[1
]}

Gomez, Trinidad ^{[1
]}

机构：

[1] Univ Malaga, Dept Econ Aplicada Matemat, Campus El Ejido S-N, E-29071 Malaga, Spain

来源：

PACIFIC JOURNAL OF OPTIMIZATION | 2017年 / 13卷 / 04期

关键词：

vector optimization; global optimization; large scale problem; mathematical programming; MULTIDISCIPLINARY DESIGN; REDUNDANCY ALLOCATION; COORDINATION METHODS; OPTIMIZATION;

D O I：

暂无

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Decision making in a composite system usually involves considering all of the components from which it is formed. In some cases, these components or subsystems may determine a part of the feasible set or they may impact the objectives of the whole system. This paper studies the relationship between the efficient set of the multiobjective problem associated with the composite system and the efficient sets of the multiobjective problems corresponding to the subsystems. In addition to simple examples appearing through this paper, the redundancy allocation problem is considered to illustrate the applicability of the results obtained.

引用

页码：707 / 730

页数：24

共 30 条

[1] A survey of multidisciplinary design optimization methods in launch vehicle design [J].

Balesdent, Mathieu ;

Berend, Nicolas ;

Depince, Philippe ;

Chriette, Abdelhamid .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2012, 45 (05) :619-642

[2] ON THE COMPUTATIONAL-COMPLEXITY OF RELIABILITY REDUNDANCY ALLOCATION IN A SERIES SYSTEM [J].

CHERN, MS .

OPERATIONS RESEARCH LETTERS, 1992, 11 (05) :309-315

[3] Interactive coordination of objective decompositions in multiobjective programming [J].

Engau, Alexander ;

Wiecek, Margaret M. .

MANAGEMENT SCIENCE, 2008, 54 (07) :1350-1363

[4]

Engau A, 2010, APPL OPTIM, V103, P329, DOI 10.1007/978-3-540-92828-7_12

[5] MODELING SCALE ECONOMIES WITH RAY-HOMOTHETIC PRODUCTION-FUNCTIONS [J].

FARE, R ;

JANSSON, L ;

LOVELL, CAK .

REVIEW OF ECONOMICS AND STATISTICS, 1985, 67 (04) :624-629

[6] Efficiency for multiobjective multidisciplinary optimization problems with quasiseparable subproblems [J].

Gardenghi, Melissa ;

Wiecek, Margaret M. .

OPTIMIZATION AND ENGINEERING, 2012, 13 (02) :293-318

[7] Algebra of Efficient Sets for Multiobjective Complex Systems [J].

Gardenghi, Melissa ;

Gomez, Trinidad ;

Miguel, Francisca ;

Wiecek, Margaret M. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 149 (02) :385-410

[8] Multiple objectives decomposition-coordination methods for hierarchical organizations [J].

Gómez, T ;

González, M ;

Luque, M ;

Miguel, F ;

Ruiz, F .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2001, 133 (02) :323-341

[9]

Haimes Y.Y., 1990, HIERARCHICAL MULTIOB

[10] CONE-EFFICIENCY, CONE-CONVEXITY AND CONE-COMPACTNESS [J].

HARTLEY, R .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 34 (02) :211-222

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