梯形结构大系统多目标规划子问题解的关系

Abstract

Abstract:

The model of large scale multiobjective programming with trapezoidal structure was first decomposed into several subproblems. Then the relations of their effective solutions among the subproblems as well as those between the large scale multiobjective programming and each of its subproblems were studied. Under particular conditions, it has been proved that the effective solutions of (I-1) subproblemsMPT_{(Bⁱ,A^i+1)} consist of the large scale problem （MPT）’s effective solutions.

Key words: large scale multiobjective programming, effective solution, trapezoidal structure

CLC Number:

O221.6

ZHANG Jie, WEI Cai-Xia. Relations of Solutions among Subproblems on Large ScaleMultiobjective Programming with Trapezoidal Structure[J].J4, 2010, 48(02): 237-240.

[1]	DIAO Dan, SUN Xiang-Kai. Stable Strong Duality for a Composed Convex Optimization Problem [J]. J4, 2013, 51(03): 441-443.
[2]	ZHANG Jie, LIU Ni, XU Ling-Min. Algorithm of Large Scale Multiobjective Programming Modelwith Trapezoidal Structure [J]. J4, 2013, 51(01): 9-14.
[3]	HAN Qian-Qian, XU Xi-Gong, HONG Chao, CHU Xiang-Qiu. Super Efficient Solutions of Set-Valued Optimization with Generalized HigherOrder ConeDirected Adjacent Derivatives [J]. J4, 2012, 50(06): 1146-1150.
[4]	JIAO Ge-Hua, LIU San-Yang. Nondifferentiable Multiobjective Programming Problemunder Generalized d_Ⅰ-ⅤTypeⅠ Univexity [J]. J4, 2012, 50(03): 391-.
[5]	KOU Chi-Feng, BANG Xin-Yuan, Shu-Qing-Kun. SecondOrder Optimality Conditions for ConstrainedSetValued Optimization Problems [J]. J4, 2012, 50(02): 244-250.
[6]	WANG Cailing, LU Xiu shuang. Optimality Condition of a Class of Generalized Invex Functions [J]. J4, 2012, 50(01): 6-10.
[7]	SUN Chi-Mei. Duality of Multiobjective ProgrammingBased on γ-Subdifferentiation [J]. J4, 2011, 49(05): 853-856.
[8]	ZHANG Jie, XU Ling-Min, HU Ding. Bidirectional Decomposition of Large Scale MultiobjectiveProgramming Model with Trapezoidal Structureand Relations of Its Solutions [J]. J4, 2011, 49(05): 802-808.
[9]	WANG Cai-Ling. SaddlePoint Theory of Nonsmooth Invex Multiobjective Programming [J]. J4, 2011, 49(04): 693-695.
[10]	DIAO Xue, ZHANG Shu-Gong, XU Dun-Pan, LIU Qiang-Fu. Homophony Method for Solving Horizontal LinearComplimentarily Problem [J]. J4, 2010, 48(05): 766-770.
[11]	WANG Cai-Ling, FENG Zi-Xian, LI Zhong-Fan. Optimality Conditions for Multiobjective Programming withB-Vex Functions [J]. J4, 2009, 47(4): 742-744.

Relations of Solutions among Subproblems on Large ScaleMultiobjective Programming with Trapezoidal Structure

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 11

Metrics

Comments

Recommended 10