Bounding Residence Times for Atomic Dynamic Routings

doi:10.1287/moor.2021.1242

CSpace > 应用数学研究所

	Bounding Residence Times for Atomic Dynamic Routings
	Cao, Zhigang 1; Chen, Bo 2; Chen, Xujin3,4 ; Wang, Changjun3
	2022-02-17
发表期刊	MATHEMATICS OF OPERATIONS RESEARCH
ISSN	0364-765X
页码	22
摘要	In this paper, we are concerned with bounding agents' residence times in the network for a broad class of atomic dynamic routings. We explore novel token techniques to circumvent direct analysis on complicated chain effects of dynamic routing choices. Even though agents may enter the network over time for an infinite number of periods, we prove that under a mild condition, the residence time of every agent is upper bounded (by a network-dependent constant plus the total number of agents inside the network at the entry time of the agent). Applying this result to three game models of atomic dynamic routing in the recent literature, we establish that the residence times of selfish agents in a series-parallel network with a single origin-destination pair are upper bounded at equilibrium, provided the number of incoming agents at each time point does not exceed the network capacity (i.e., the smallest total capacity of edges in the network whose removal separates the origin from the destination).
关键词	atomic dynamic routing residence time token technique selfish routing Nash equilibrium
DOI	10.1287/moor.2021.1242
收录类别	SCI
语种	英语
资助项目	Ministry of Science and Technology of the People's Republic of China[2018AAA0101002] ; National Natural Science Foundation of China[72192804] ; National Natural Science Foundation of China[11971046] ; National Natural Science Foundation of China[71871009] ; National Natural Science Foundation of China[71922003] ; Chinese Academy of Sciences[XDA27000000] ; Chinese Academy of Sciences[ZDBS-LY-7008] ; Young Elite Scientists Sponsorship Programby CAST[2018QNRC001]
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000804386100001
出版者	INFORMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61485
专题	应用数学研究所
通讯作者	Wang, Changjun
作者单位	1.Beijing Jiaotong Univ, Sch Econ & Management, Beijing 100044, Peoples R China 2.Univ Warwick, Warwick Business Sch, Coventry CV4 7AL, W Midlands, England 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Cao, Zhigang,Chen, Bo,Chen, Xujin,et al. Bounding Residence Times for Atomic Dynamic Routings[J]. MATHEMATICS OF OPERATIONS RESEARCH,2022:22.
APA	Cao, Zhigang,Chen, Bo,Chen, Xujin,&Wang, Changjun.(2022).Bounding Residence Times for Atomic Dynamic Routings.MATHEMATICS OF OPERATIONS RESEARCH,22.
MLA	Cao, Zhigang,et al."Bounding Residence Times for Atomic Dynamic Routings".MATHEMATICS OF OPERATIONS RESEARCH (2022):22.