Optimization of multi-criteria facility-based systems via vector potential approach

doi:10.1016/j.jfranklin.2021.04.023

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	Optimization of multi-criteria facility-based systems via vector potential approach
	Hao, Yaqi 1; Cheng, Daizhan 2
	2021-06-01
发表期刊	JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN	0016-0032
卷号	358 期号:9 页码:4972-4993
摘要	The optimization of multi-criteria facility-based systems(MFBSs) is investigated through vectorpotential function approach. To begin with, an MFBS with multiple pre-assigned system performance criteria is transformed into a multi-criteria potential game with given system performance criteria as its vector-potential function by designing proper facility-cost functions(FCFs). A linear system is presented, which turns the problem of designing suitable FCFs into checking whether a solution of the linear system exists. Then, a sufficient and necessary condition is presented for the verification of Pareto equilibria according to set relations. Next, dynamic behaviors of an MFBS is analyzed. The existence and convergence of Pareto equilibria are proved, showing that desirable global optimization can be achieved when each agent optimizes his(her) vector-utility functions. Finally, the approach is extended to constrained MFBSs, in which facilities are partly designable or restricted. (c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
DOI	10.1016/j.jfranklin.2021.04.023
收录类别	SCI
语种	英语
资助项目	NNSF[61773371] ; NNSF[61733018] ; NNSF[61903236]
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000658762900021
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58855
专题	中国科学院数学与系统科学研究院
通讯作者	Hao, Yaqi
作者单位	1.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Hao, Yaqi,Cheng, Daizhan. Optimization of multi-criteria facility-based systems via vector potential approach[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2021,358(9):4972-4993.
APA	Hao, Yaqi,&Cheng, Daizhan.(2021).Optimization of multi-criteria facility-based systems via vector potential approach.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,358(9),4972-4993.
MLA	Hao, Yaqi,et al."Optimization of multi-criteria facility-based systems via vector potential approach".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 358.9(2021):4972-4993.