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The Game Theoretical Approach for Multi-phase Complex Systems in Chemical Engineering
Li Yan1; Mu Yifen2; Yuan Shuo2; Guo Lei2
2017-02-01
Source PublicationJOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
Volume30Issue:1Pages:4-19
AbstractThis paper explores the application of noncooperative game theory together with the concept of Nash equilibrium to the investigation of some basic problems on multi-scale structure, especially the meso-scale structure in the multi-phase complex systems in chemical engineering. The basis of this work is the energy-minimization-multi-scale (EMMS) model proposed by Li and Kwauk (1994) and Li, et al. (2013) which identifies the multi-scale structure as a result of 'compromise-in-competition between dominant mechanisms' and tries to solve a multi-objective optimization problem. However, the existing methods often integrate it into a problem of single objective optimization, which does not clearly reflect the 'compromise-in-competition' mechanism and causes heavy computation burden as well as uncertainty in choosing suitable weighting factors. This paper will formulate the compromise in competition mechanism in EMMS model as a noncooperative game with constraints, and will describe the desired stable system state as a generalized Nash equilibrium. Then the authors will investigate the game theoretical approach for two typical systems in chemical engineering, the gas-solid fluidization (GSF) system and turbulent flow in pipe. Two different cases for generalized Nash equilibrium in such systems will be well defined and distinguished. The generalize Nash equilibrium will be solved accurately for the GSF system and a feasible method will be given for turbulent flow in pipe. These results coincide with the existing computational results and show the feasibility of this approach, which overcomes the disadvantages of the existing methods and provides deep insight into the mechanisms of multi-scale structure in the multi-phase complex systems in chemical engineering.
KeywordGame theory gas-solid fluidization generalized Nash equilibrium multi-phase complex systems turbulent flow
DOI10.1007/s11424-017-6287-1
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000397236700002
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25009
Collection系统科学研究所
国家数学与交叉科学中心
Affiliation1.Beijing Natl Day Sch, Beijing 100039, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Li Yan,Mu Yifen,Yuan Shuo,et al. The Game Theoretical Approach for Multi-phase Complex Systems in Chemical Engineering[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2017,30(1):4-19.
APA Li Yan,Mu Yifen,Yuan Shuo,&Guo Lei.(2017).The Game Theoretical Approach for Multi-phase Complex Systems in Chemical Engineering.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,30(1),4-19.
MLA Li Yan,et al."The Game Theoretical Approach for Multi-phase Complex Systems in Chemical Engineering".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 30.1(2017):4-19.
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