Bounding Residence Times for Atomic Dynamic Routings | |
Cao, Zhigang1; Chen, Bo2; Chen, Xujin3,4; Wang, Changjun3 | |
刊名 | MATHEMATICS OF OPERATIONS RESEARCH
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2022-02-17 | |
页码 | 22 |
关键词 | atomic dynamic routing residence time token technique selfish routing Nash equilibrium |
ISSN号 | 0364-765X |
DOI | 10.1287/moor.2021.1242 |
英文摘要 | 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). |
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 |
语种 | 英语 |
出版者 | INFORMS |
WOS记录号 | WOS:000804386100001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61484] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
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. |
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