KMS Of Academy of mathematics and systems sciences, CAS
| Optimization of multi-criteria facility-based systems via vector potential approach | |
| Hao, Yaqi1; Cheng, Daizhan2 | |
| 2021-06-01 | |
| Source Publication | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
 |
| ISSN | 0016-0032 |
| Volume | 358Issue:9Pages:4972-4993 |
| Abstract | 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 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NNSF[61773371] ; NNSF[61733018] ; NNSF[61903236] |
| WOS Research Area | Automation & Control Systems ; Engineering ; Mathematics |
| WOS Subject | Automation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000658762900021 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58855 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Hao, Yaqi |
| Affiliation | 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 |
| Recommended Citation 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. |
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