The Game Theoretical Approach for Multi-phase Complex Systems in Chemical Engineering

doi:10.1007/s11424-017-6287-1

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	The Game Theoretical Approach for Multi-phase Complex Systems in Chemical Engineering
	Li Yan 1; Mu Yifen2 ; Yuan Shuo 2; Guo Lei2
	2017-02-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	30 期号:1 页码:4-19
摘要	This 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.
关键词	Game theory gas-solid fluidization generalized Nash equilibrium multi-phase complex systems turbulent flow
DOI	10.1007/s11424-017-6287-1
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000397236700002
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25009
专题	系统科学研究所国家数学与交叉科学中心
通讯作者	Li Yan
作者单位	1.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
推荐引用方式 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.